%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM003+3 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 : Tue Sep 29 09:38:59 AM UTC 2026
% Result : Theorem 2.79s 1.15s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 34
% Syntax : Number of formulae : 390 ( 15 unt; 30 def)
% Number of atoms : 1987 ( 0 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 2918 (1321 ~;1437 |; 105 &)
% ( 28 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 29 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 350 ( 0 sgn 317 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) )
=> ? [X3] :
( program(X3)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ( program(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) )
=> ! [X1,X2] :
( ( ( program(X1)
& halts2(X1,X2) )
=> ( halts3(X0,X1,X2)
& outputs(X0,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X2) )
=> ( halts3(X0,X1,X2)
& outputs(X0,bad) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ( program(X0)
& ! [X1,X2] :
( ( ( program(X1)
& halts2(X1,X2) )
=> ( halts3(X0,X1,X2)
& outputs(X0,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X2) )
=> ( halts3(X0,X1,X2)
& outputs(X0,bad) ) ) ) )
=> ? [X3] :
( program(X3)
& ! [X1] :
( ( ( program(X1)
& halts3(X0,X1,X1)
& outputs(X0,good) )
=> ~ halts2(X3,X1) )
& ( ( program(X1)
& halts3(X0,X1,X1)
& outputs(X0,bad) )
=> ( halts2(X3,X1)
& outputs(X3,bad) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f4,conjecture,
~ ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f5,negated_conjecture,
~ ~ ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) )
=> ? [X3] :
( program(X3)
& ! [X4] :
( program(X4)
=> ! [X5] : decides(X3,X4,X5) ) ) ),
inference(rectify,[],[f1]) ).
fof(f7,plain,
! [X0] :
( ( program(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) )
=> ! [X3,X4] :
( ( ( program(X3)
& halts2(X3,X4) )
=> ( halts3(X0,X3,X4)
& outputs(X0,good) ) )
& ( ( program(X3)
& ~ halts2(X3,X4) )
=> ( halts3(X0,X3,X4)
& outputs(X0,bad) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f8,plain,
! [X0] :
( ( program(X0)
& ! [X1,X2] :
( ( ( program(X1)
& halts2(X1,X2) )
=> ( halts3(X0,X1,X2)
& outputs(X0,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X2) )
=> ( halts3(X0,X1,X2)
& outputs(X0,bad) ) ) ) )
=> ? [X3] :
( program(X3)
& ! [X4] :
( ( ( program(X4)
& halts3(X0,X4,X4)
& outputs(X0,good) )
=> ~ halts2(X3,X4) )
& ( ( program(X4)
& halts3(X0,X4,X4)
& outputs(X0,bad) )
=> ( halts2(X3,X4)
& outputs(X3,bad) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f9,plain,
? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
inference(flattening,[],[f5]) ).
fof(f10,plain,
( ? [X3] :
( program(X3)
& ! [X4] :
( ! [X5] : decides(X3,X4,X5)
| ~ program(X4) ) )
| ! [X0] :
( ~ algorithm(X0)
| ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f11,plain,
! [X0] :
( ! [X3,X4] :
( ( ( halts3(X0,X3,X4)
& outputs(X0,good) )
| ~ program(X3)
| ~ halts2(X3,X4) )
& ( ( halts3(X0,X3,X4)
& outputs(X0,bad) )
| ~ program(X3)
| halts2(X3,X4) ) )
| ~ program(X0)
| ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] :
( ! [X3,X4] :
( ( ( halts3(X0,X3,X4)
& outputs(X0,good) )
| ~ program(X3)
| ~ halts2(X3,X4) )
& ( ( halts3(X0,X3,X4)
& outputs(X0,bad) )
| ~ program(X3)
| halts2(X3,X4) ) )
| ~ program(X0)
| ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts2(X3,X4)
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,good) )
& ( ( halts2(X3,X4)
& outputs(X3,bad) )
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad) ) ) )
| ~ program(X0)
| ? [X1,X2] :
( ( ( ~ halts3(X0,X1,X2)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X2) )
| ( ( ~ halts3(X0,X1,X2)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f14,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts2(X3,X4)
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,good) )
& ( ( halts2(X3,X4)
& outputs(X3,bad) )
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad) ) ) )
| ~ program(X0)
| ? [X1,X2] :
( ( ( ~ halts3(X0,X1,X2)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X2) )
| ( ( ~ halts3(X0,X1,X2)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X2) ) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
? [X0] :
( algorithm(X0)
& ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f16,definition,
! [X2,X1,X0] :
( ( ( ~ halts3(X0,X1,X2)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X2) )
| ~ sP0(X2,X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X0] :
( ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts2(X3,X4)
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,good) )
& ( ( halts2(X3,X4)
& outputs(X3,bad) )
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad) ) ) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f18,plain,
! [X0] :
( sP1(X0)
| ~ program(X0)
| ? [X1,X2] :
( ( ( ~ halts3(X0,X1,X2)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X2) )
| sP0(X2,X1,X0) ) ),
inference(definition_folding,[],[f14,f17,f16]) ).
fof(f19,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) ) )
| ! [X3] :
( ~ algorithm(X3)
| ? [X4] :
( ? [X5] : ~ decides(X3,X4,X5)
& program(X4) ) ) ),
inference(rectify,[],[f10]) ).
fof(f20,plain,
( ( program(sK2)
& ! [X1] :
( ! [X2] : decides(sK2,X1,X2)
| ~ program(X1) ) )
| ! [X3] :
( ~ algorithm(X3)
| ( ~ decides(X3,sK3(X3),sK4(X3))
& program(sK3(X3)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X4,sK3(X3)),skolemize(X5,sK4(X3))],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1,X2] :
( ( ( halts3(X0,X1,X2)
& outputs(X0,good) )
| ~ program(X1)
| ~ halts2(X1,X2) )
& ( ( halts3(X0,X1,X2)
& outputs(X0,bad) )
| ~ program(X1)
| halts2(X1,X2) ) )
| ~ program(X0)
| ? [X3] :
( ? [X4] : ~ decides(X0,X3,X4)
& program(X3) ) ),
inference(rectify,[],[f12]) ).
fof(f22,plain,
! [X0] :
( ! [X1,X2] :
( ( ( halts3(X0,X1,X2)
& outputs(X0,good) )
| ~ program(X1)
| ~ halts2(X1,X2) )
& ( ( halts3(X0,X1,X2)
& outputs(X0,bad) )
| ~ program(X1)
| halts2(X1,X2) ) )
| ~ program(X0)
| ( ~ decides(X0,sK5(X0),sK6(X0))
& program(sK5(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0)),skolemize(X4,sK6(X0))],[f21]) ).
fof(f23,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts2(X3,X4)
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,good) )
& ( ( halts2(X3,X4)
& outputs(X3,bad) )
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad) ) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( program(X1)
& ! [X2] :
( ( ~ halts2(X1,X2)
| ~ program(X2)
| ~ halts3(X0,X2,X2)
| ~ outputs(X0,good) )
& ( ( halts2(X1,X2)
& outputs(X1,bad) )
| ~ program(X2)
| ~ halts3(X0,X2,X2)
| ~ outputs(X0,bad) ) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( program(sK7(X0))
& ! [X2] :
( ( ~ halts2(sK7(X0),X2)
| ~ program(X2)
| ~ halts3(X0,X2,X2)
| ~ outputs(X0,good) )
& ( ( halts2(sK7(X0),X2)
& outputs(sK7(X0),bad) )
| ~ program(X2)
| ~ halts3(X0,X2,X2)
| ~ outputs(X0,bad) ) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f24]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ( ( ~ halts3(X0,X1,X2)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X2) )
| ~ sP0(X2,X1,X0) ),
inference(nnf_transformation,[],[f16]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( ~ halts3(X2,X1,X0)
| ~ outputs(X2,bad) )
& program(X1)
& ~ halts2(X1,X0) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( sP1(X0)
| ~ program(X0)
| ( ( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good) )
& program(sK8(X0))
& halts2(sK8(X0),sK9(X0)) )
| sP0(sK9(X0),sK8(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[f18]) ).
fof(f29,plain,
( algorithm(sK10)
& ! [X1] :
( ! [X2] : decides(sK10,X1,X2)
| ~ program(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f15]) ).
fof(f30,plain,
! [X2,X3,X1] :
( decides(sK2,X1,X2)
| ~ program(X1)
| ~ algorithm(X3)
| program(sK3(X3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X2,X3,X1] :
( decides(sK2,X1,X2)
| ~ program(X1)
| ~ algorithm(X3)
| ~ decides(X3,sK3(X3),sK4(X3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f32,plain,
! [X3] :
( program(sK2)
| ~ algorithm(X3)
| program(sK3(X3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f33,plain,
! [X3] :
( program(sK2)
| ~ algorithm(X3)
| ~ decides(X3,sK3(X3),sK4(X3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f34,plain,
! [X2,X0,X1] :
( outputs(X0,bad)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| program(sK5(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X2,X0,X1] :
( outputs(X0,bad)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| program(sK5(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X2,X0,X1] :
( outputs(X0,good)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| program(sK5(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f39,plain,
! [X2,X0,X1] :
( outputs(X0,good)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f40,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| program(sK5(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ program(X2)
| ~ halts3(X0,X2,X2)
| ~ outputs(X0,bad)
| halts2(sK7(X0),X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f44,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ program(X2)
| ~ halts3(X0,X2,X2)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0] :
( ~ sP1(X0)
| program(sK7(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ~ halts2(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| program(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ~ outputs(X2,bad)
| ~ halts3(X2,X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
! [X0] :
( sP0(sK9(X0),sK8(X0),X0)
| ~ program(X0)
| halts2(sK8(X0),sK9(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0] :
( sP0(sK9(X0),sK8(X0),X0)
| ~ program(X0)
| program(sK8(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
! [X0] :
( sP0(sK9(X0),sK8(X0),X0)
| ~ program(X0)
| ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| sP1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
! [X2,X1] :
( decides(sK10,X1,X2)
| ~ program(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
algorithm(sK10),
inference(cnf_transformation,[],[f29]) ).
fof(f55,definition,
( spl11_1
<=> ! [X2,X1] :
( ~ program(X1)
| halts2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f56,plain,
( ! [X2,X1] :
( halts2(X1,X2)
| ~ program(X1) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,definition,
( spl11_2
<=> ! [X0] :
( outputs(X0,bad)
| program(sK5(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f59,plain,
( ! [X0] :
( outputs(X0,bad)
| program(sK5(X0))
| ~ program(X0) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f60,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f34,f58,f55]) ).
fof(f62,definition,
( spl11_3
<=> ! [X0] :
( outputs(X0,bad)
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f63,plain,
( ! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| outputs(X0,bad)
| ~ program(X0) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f35,f62,f55]) ).
fof(f66,definition,
( spl11_4
<=> ! [X2,X1] :
( ~ program(X1)
| ~ halts2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f67,plain,
( ! [X2,X1] :
( ~ halts2(X1,X2)
| ~ program(X1) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl11_5
<=> ! [X0] :
( outputs(X0,good)
| program(sK5(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f70,plain,
( ! [X0] :
( outputs(X0,good)
| program(sK5(X0))
| ~ program(X0) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f38,f69,f66]) ).
fof(f73,definition,
( spl11_6
<=> ! [X0] :
( outputs(X0,good)
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f74,plain,
( ! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| outputs(X0,good)
| ~ program(X0) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( spl11_4
| spl11_6 ),
inference(avatar_split_clause,[],[f39,f73,f66]) ).
fof(f77,definition,
( spl11_7
<=> ! [X3] :
( ~ algorithm(X3)
| program(sK3(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f78,plain,
( ! [X3] :
( ~ algorithm(X3)
| program(sK3(X3)) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,definition,
( spl11_8
<=> ! [X2,X1] :
( decides(sK2,X1,X2)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f81,plain,
( ! [X2,X1] :
( decides(sK2,X1,X2)
| ~ program(X1) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f30,f80,f77]) ).
fof(f84,definition,
( spl11_9
<=> ! [X3] :
( ~ algorithm(X3)
| ~ decides(X3,sK3(X3),sK4(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f85,plain,
( ! [X3] :
( ~ algorithm(X3)
| ~ decides(X3,sK3(X3),sK4(X3)) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( spl11_9
| spl11_8 ),
inference(avatar_split_clause,[],[f31,f80,f84]) ).
fof(f88,definition,
( spl11_10
<=> program(sK2) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f89,plain,
( program(sK2)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( spl11_7
| spl11_10 ),
inference(avatar_split_clause,[],[f32,f88,f77]) ).
fof(f91,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f33,f88,f84]) ).
fof(f92,plain,
( program(sK3(sK10))
| ~ spl11_7 ),
inference(resolution,[],[f78,f53]) ).
fof(f93,plain,
( ~ decides(sK10,sK3(sK10),sK4(sK10))
| ~ spl11_9 ),
inference(resolution,[],[f85,f53]) ).
fof(f94,plain,
( ~ program(sK3(sK10))
| ~ spl11_9 ),
inference(resolution,[],[f52,f93]) ).
fof(f106,plain,
( $false
| ~ spl11_7
| ~ spl11_9 ),
inference(resolution,[],[f94,f92]) ).
fof(f107,plain,
( ~ spl11_7
| ~ spl11_9 ),
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f108,plain,
( ~ program(sK5(sK2))
| outputs(sK2,bad)
| ~ program(sK2)
| ~ spl11_3
| ~ spl11_8 ),
inference(resolution,[],[f81,f63]) ).
fof(f111,definition,
( spl11_14
<=> outputs(sK2,bad) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
fof(f112,plain,
( outputs(sK2,bad)
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl11_15
<=> program(sK5(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
fof(f119,plain,
! [X0] :
( ~ program(X0)
| program(sK8(X0))
| sP1(X0)
| program(sK8(X0)) ),
inference(resolution,[],[f50,f47]) ).
fof(f120,plain,
! [X0] :
( sP1(X0)
| program(sK8(X0))
| ~ program(X0) ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f121,plain,
! [X0] :
( program(sK7(X0))
| ~ program(X0)
| program(sK8(X0)) ),
inference(resolution,[],[f120,f45]) ).
fof(f123,plain,
! [X0,X1] :
( ~ halts3(X1,X0,X0)
| ~ program(X0)
| ~ outputs(X1,bad)
| halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1) ),
inference(resolution,[],[f43,f120]) ).
fof(f124,plain,
! [X0,X1] :
( ~ halts3(X1,X0,X0)
| ~ program(X0)
| ~ outputs(X1,good)
| ~ halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1) ),
inference(resolution,[],[f44,f120]) ).
fof(f125,plain,
! [X0] :
( sP1(X0)
| halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ halts3(X0,sK8(X0),sK9(X0)) ),
inference(resolution,[],[f49,f48]) ).
fof(f128,plain,
! [X0] :
( ~ program(X0)
| ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| sP1(X0)
| ~ outputs(X0,bad)
| ~ halts3(X0,sK8(X0),sK9(X0)) ),
inference(resolution,[],[f51,f48]) ).
fof(f129,plain,
! [X0] :
( sP1(X0)
| ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0)) ),
inference(resolution,[],[f51,f46]) ).
fof(f131,plain,
! [X0] :
( sP1(X0)
| ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ outputs(X0,bad) ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f132,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ halts3(X0,X1,X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1) ),
inference(resolution,[],[f131,f44]) ).
fof(f133,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ halts3(X0,X1,X1)
| ~ outputs(X0,bad)
| halts2(sK7(X0),X1) ),
inference(resolution,[],[f131,f43]) ).
fof(f137,plain,
! [X0,X1] :
( halts2(sK7(X0),X1)
| ~ outputs(X0,good)
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ halts3(X0,X1,X1)
| ~ halts3(X0,sK8(X0),sK9(X0)) ),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f138,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ halts3(X0,X1,X1)
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f140,plain,
! [X0,X1] :
( halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ halts3(X0,sK8(X0),sK9(X0))
| ~ program(X1)
| ~ halts3(X0,X1,X1)
| ~ outputs(X0,bad)
| halts2(sK7(X0),X1) ),
inference(resolution,[],[f125,f43]) ).
fof(f142,plain,
! [X0] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| halts2(sK8(X0),sK9(X0))
| program(sK7(X0)) ),
inference(resolution,[],[f125,f45]) ).
fof(f144,plain,
! [X0,X1] :
( halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ halts3(X0,sK8(X0),sK9(X0))
| ~ program(X1)
| ~ halts3(X0,X1,X1)
| halts2(sK7(X0),X1) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f149,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ halts3(X0,X1,X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1) ),
inference(resolution,[],[f129,f44]) ).
fof(f152,plain,
! [X0] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| program(sK7(X0)) ),
inference(resolution,[],[f129,f45]) ).
fof(f153,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ halts3(X0,X1,X1)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f162,definition,
( spl11_17
<=> ! [X0] :
( ~ program(X0)
| halts2(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).
fof(f163,plain,
( ! [X0] :
( halts2(X0,X0)
| ~ program(X0) )
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f171,plain,
! [X0,X1] :
( ~ program(X0)
| ~ outputs(X1,bad)
| halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1)
| ~ program(X0)
| halts2(X0,X0)
| ~ program(X1)
| ~ decides(X1,sK5(X1),sK6(X1)) ),
inference(resolution,[],[f123,f37]) ).
fof(f172,plain,
! [X0,X1] :
( ~ program(X0)
| ~ outputs(X1,bad)
| halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1)
| ~ program(X0)
| halts2(X0,X0)
| ~ program(X1)
| program(sK5(X1)) ),
inference(resolution,[],[f123,f36]) ).
fof(f173,plain,
! [X0,X1] :
( ~ outputs(X1,bad)
| ~ program(X0)
| halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1)
| halts2(X0,X0)
| program(sK5(X1)) ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( ~ decides(X1,sK5(X1),sK6(X1))
| ~ outputs(X1,bad)
| halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1)
| halts2(X0,X0)
| ~ program(X0) ),
inference(duplicate_literal_removal,[],[f171]) ).
fof(f179,plain,
! [X0] :
( ~ program(X0)
| ~ outputs(X0,bad)
| halts2(sK8(X0),sK9(X0))
| program(sK7(X0))
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(resolution,[],[f142,f37]) ).
fof(f180,plain,
! [X0] :
( ~ program(X0)
| ~ outputs(X0,bad)
| halts2(sK8(X0),sK9(X0))
| program(sK7(X0))
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK5(X0)) ),
inference(resolution,[],[f142,f36]) ).
fof(f181,plain,
! [X0] :
( ~ outputs(X0,bad)
| ~ program(X0)
| halts2(sK8(X0),sK9(X0))
| program(sK7(X0))
| ~ program(sK8(X0))
| program(sK5(X0)) ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f182,plain,
! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ outputs(X0,bad)
| halts2(sK8(X0),sK9(X0))
| program(sK7(X0))
| ~ program(sK8(X0))
| ~ program(X0) ),
inference(duplicate_literal_removal,[],[f179]) ).
fof(f187,plain,
( ! [X0] :
( ~ program(X0)
| halts2(sK8(X0),sK9(X0))
| program(sK7(X0))
| ~ program(sK8(X0))
| program(sK5(X0))
| program(sK5(X0))
| ~ program(X0) )
| ~ spl11_2 ),
inference(resolution,[],[f181,f59]) ).
fof(f190,plain,
( ! [X0] :
( halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK8(X0))
| program(sK5(X0)) )
| ~ spl11_2 ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f210,plain,
! [X0] :
( ~ program(sK8(X0))
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK5(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| program(sK7(X0)) ),
inference(resolution,[],[f40,f152]) ).
fof(f213,plain,
! [X0,X1] :
( ~ program(X0)
| ~ halts2(X0,X0)
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| ~ outputs(X1,good)
| ~ halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1) ),
inference(resolution,[],[f40,f124]) ).
fof(f214,plain,
! [X0,X1] :
( ~ program(X0)
| ~ halts2(X0,X0)
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| ~ outputs(X1,bad)
| halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1) ),
inference(resolution,[],[f40,f123]) ).
fof(f217,plain,
! [X0,X1] :
( ~ outputs(X1,bad)
| ~ halts2(X0,X0)
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| halts2(sK7(X1),X0)
| program(sK8(X1)) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f218,plain,
! [X0,X1] :
( ~ outputs(X1,good)
| ~ halts2(X0,X0)
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| ~ halts2(sK7(X1),X0)
| program(sK8(X1)) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f221,plain,
! [X0] :
( ~ outputs(X0,good)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK5(X0))
| ~ program(sK8(X0))
| program(sK7(X0)) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f223,plain,
( outputs(sK2,good)
| ~ program(sK2)
| ~ program(sK5(sK2))
| ~ spl11_6
| ~ spl11_8 ),
inference(resolution,[],[f74,f81]) ).
fof(f224,plain,
! [X0] :
( ~ program(sK8(X0))
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| program(sK7(X0)) ),
inference(resolution,[],[f41,f152]) ).
fof(f227,plain,
! [X0,X1] :
( ~ program(X0)
| ~ halts2(X0,X0)
| ~ program(X1)
| ~ decides(X1,sK5(X1),sK6(X1))
| ~ program(X0)
| ~ outputs(X1,good)
| ~ halts2(sK7(X1),X0)
| program(sK8(X1))
| ~ program(X1) ),
inference(resolution,[],[f41,f124]) ).
fof(f232,plain,
! [X0,X1] :
( ~ decides(X1,sK5(X1),sK6(X1))
| ~ halts2(X0,X0)
| ~ program(X1)
| ~ program(X0)
| ~ outputs(X1,good)
| ~ halts2(sK7(X1),X0)
| program(sK8(X1)) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f235,plain,
! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ program(sK8(X0))
| ~ outputs(X0,good)
| program(sK7(X0)) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f236,plain,
( ! [X0] :
( ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK5(X0))
| ~ program(sK8(X0))
| program(sK7(X0))
| program(sK5(X0))
| ~ program(X0) )
| ~ spl11_5 ),
inference(resolution,[],[f221,f70]) ).
fof(f237,plain,
( ! [X0] :
( ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK5(X0))
| ~ program(sK8(X0))
| program(sK7(X0)) )
| ~ spl11_5 ),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f238,plain,
( ! [X0] :
( ~ program(X0)
| program(sK5(X0))
| ~ program(sK8(X0))
| program(sK7(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK8(X0))
| program(sK5(X0)) )
| ~ spl11_2
| ~ spl11_5 ),
inference(resolution,[],[f237,f190]) ).
fof(f239,plain,
( ! [X0] :
( program(sK7(X0))
| program(sK5(X0))
| ~ program(sK8(X0))
| ~ program(X0) )
| ~ spl11_2
| ~ spl11_5 ),
inference(duplicate_literal_removal,[],[f238]) ).
fof(f244,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(X1)
| ~ halts2(X1,X1)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(resolution,[],[f138,f41]) ).
fof(f245,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(X1)
| ~ halts2(X1,X1)
| ~ program(X0)
| program(sK5(X0)) ),
inference(resolution,[],[f138,f40]) ).
fof(f250,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| program(sK5(X0)) ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f251,plain,
! [X0,X1] :
( ~ halts3(X0,sK8(X0),sK9(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f266,definition,
( spl11_21
<=> program(sK8(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
fof(f269,definition,
( spl11_22
<=> ! [X0] :
( ~ halts2(sK7(sK2),X0)
| ~ program(X0)
| halts2(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition]) ).
fof(f270,plain,
( ! [X0] :
( halts2(X0,X0)
| ~ program(X0)
| ~ halts2(sK7(sK2),X0) )
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f274,plain,
( ! [X0,X1] :
( ~ halts2(X0,X0)
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| halts2(sK7(X1),X0)
| program(sK8(X1))
| program(sK5(X1))
| ~ program(X1) )
| ~ spl11_2 ),
inference(resolution,[],[f217,f59]) ).
fof(f277,plain,
( ! [X0,X1] :
( halts2(sK7(X1),X0)
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| ~ halts2(X0,X0)
| program(sK8(X1)) )
| ~ spl11_2 ),
inference(duplicate_literal_removal,[],[f274]) ).
fof(f278,plain,
! [X0,X1] :
( ~ halts3(X0,X1,X1)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(resolution,[],[f153,f41]) ).
fof(f279,plain,
! [X0,X1] :
( ~ halts3(X0,X1,X1)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK5(X0)) ),
inference(resolution,[],[f153,f40]) ).
fof(f292,plain,
! [X0,X1] :
( ~ halts3(X0,X1,X1)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| program(sK5(X0)) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f293,plain,
! [X0,X1] :
( ~ halts3(X0,X1,X1)
| ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f294,plain,
( ! [X0,X1] :
( ~ halts2(X0,X0)
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| ~ halts2(sK7(X1),X0)
| program(sK8(X1))
| program(sK5(X1))
| ~ program(X1) )
| ~ spl11_5 ),
inference(resolution,[],[f218,f70]) ).
fof(f295,plain,
( ! [X0,X1] :
( program(sK8(X1))
| ~ program(X1)
| program(sK5(X1))
| ~ program(X0)
| ~ halts2(sK7(X1),X0)
| ~ halts2(X0,X0) )
| ~ spl11_5 ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f297,plain,
( ~ outputs(sK2,bad)
| halts2(sK8(sK2),sK9(sK2))
| program(sK7(sK2))
| ~ program(sK8(sK2))
| ~ program(sK2)
| ~ program(sK5(sK2))
| ~ spl11_8 ),
inference(resolution,[],[f182,f81]) ).
fof(f299,plain,
( ~ halts2(sK8(sK2),sK9(sK2))
| ~ program(sK2)
| ~ program(sK8(sK2))
| ~ outputs(sK2,good)
| program(sK7(sK2))
| ~ program(sK5(sK2))
| ~ spl11_8 ),
inference(resolution,[],[f235,f81]) ).
fof(f301,plain,
( ! [X0] :
( ~ outputs(sK2,bad)
| halts2(sK7(sK2),X0)
| program(sK8(sK2))
| ~ program(sK2)
| halts2(X0,X0)
| ~ program(X0)
| ~ program(sK5(sK2)) )
| ~ spl11_8 ),
inference(resolution,[],[f174,f81]) ).
fof(f307,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(sK2)
| ~ program(X0)
| ~ outputs(sK2,good)
| ~ halts2(sK7(sK2),X0)
| program(sK8(sK2))
| ~ program(sK5(sK2)) )
| ~ spl11_8 ),
inference(resolution,[],[f232,f81]) ).
fof(f319,plain,
! [X0,X1] :
( ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| program(sK5(X0))
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| program(sK5(X0)) ),
inference(resolution,[],[f250,f36]) ).
fof(f320,plain,
! [X0,X1] :
( ~ outputs(X0,good)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ program(X0)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| program(sK5(X0))
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0)) ),
inference(duplicate_literal_removal,[],[f319]) ).
fof(f325,plain,
! [X0,X1] :
( ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| program(sK5(X0))
| ~ program(X1)
| ~ halts2(X1,X1)
| ~ program(X0)
| program(sK5(X0)) ),
inference(resolution,[],[f292,f40]) ).
fof(f330,plain,
! [X0,X1] :
( ~ outputs(X0,good)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ program(X0)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| program(sK5(X0))
| ~ halts2(X1,X1) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f354,definition,
( spl11_23
<=> halts2(sK8(sK2),sK9(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).
fof(f355,plain,
( ~ halts2(sK8(sK2),sK9(sK2))
| spl11_23 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( ~ program(sK8(sK2))
| spl11_21 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f358,definition,
( spl11_24
<=> ! [X0] :
( ~ program(X0)
| ~ halts2(X0,X0)
| ~ halts2(sK7(sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition]) ).
fof(f359,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ halts2(sK7(sK2),X0)
| ~ program(X0) )
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( ! [X0] :
( ~ program(sK2)
| program(sK5(sK2))
| ~ program(X0)
| ~ halts2(sK7(sK2),X0)
| ~ halts2(X0,X0) )
| ~ spl11_5
| spl11_21 ),
inference(resolution,[],[f356,f295]) ).
fof(f363,plain,
( spl11_24
| spl11_15
| ~ spl11_10
| ~ spl11_5
| spl11_21 ),
inference(avatar_split_clause,[],[f361,f266,f69,f88,f114,f358]) ).
fof(f368,plain,
( ! [X0] :
( ~ halts2(sK7(sK2),X0)
| ~ program(X0)
| ~ program(X0)
| ~ halts2(sK7(sK2),X0) )
| ~ spl11_22
| ~ spl11_24 ),
inference(resolution,[],[f359,f270]) ).
fof(f369,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ program(sK2)
| program(sK5(sK2))
| ~ program(X0)
| ~ halts2(X0,X0)
| program(sK8(sK2)) )
| ~ spl11_2
| ~ spl11_24 ),
inference(resolution,[],[f359,f277]) ).
fof(f371,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ outputs(sK2,good)
| ~ program(sK2)
| ~ outputs(sK2,bad)
| ~ program(X0)
| ~ halts3(sK2,X0,X0)
| ~ halts3(sK2,sK8(sK2),sK9(sK2)) )
| ~ spl11_24 ),
inference(resolution,[],[f359,f137]) ).
fof(f372,plain,
( ~ halts2(sK7(sK2),sK7(sK2))
| ~ program(sK7(sK2))
| ~ spl11_24 ),
inference(factoring,[],[f359]) ).
fof(f373,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ outputs(sK2,good)
| ~ program(sK2)
| ~ outputs(sK2,bad)
| ~ halts3(sK2,X0,X0)
| ~ halts3(sK2,sK8(sK2),sK9(sK2)) )
| ~ spl11_24 ),
inference(duplicate_literal_removal,[],[f371]) ).
fof(f375,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ program(sK2)
| program(sK5(sK2))
| program(sK8(sK2)) )
| ~ spl11_2
| ~ spl11_24 ),
inference(duplicate_literal_removal,[],[f369]) ).
fof(f376,plain,
( ! [X0] :
( ~ halts2(sK7(sK2),X0)
| ~ program(X0) )
| ~ spl11_22
| ~ spl11_24 ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f382,definition,
( spl11_25
<=> program(sK7(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_25])],[avatar_definition]) ).
fof(f383,plain,
( ~ program(sK7(sK2))
| spl11_25 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,definition,
( spl11_26
<=> halts2(sK7(sK2),sK7(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_26])],[avatar_definition]) ).
fof(f386,plain,
( ~ halts2(sK7(sK2),sK7(sK2))
| spl11_26 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f389,definition,
( spl11_27
<=> halts3(sK2,sK8(sK2),sK9(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_27])],[avatar_definition]) ).
fof(f390,plain,
( ~ halts3(sK2,sK8(sK2),sK9(sK2))
| spl11_27 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( ~ outputs(sK2,bad)
| spl11_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f393,definition,
( spl11_28
<=> outputs(sK2,good) ),
introduced(definition,[new_symbols(definition,[spl11_28])],[avatar_definition]) ).
fof(f394,plain,
( ~ outputs(sK2,good)
| spl11_28 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f396,definition,
( spl11_29
<=> ! [X0] :
( ~ halts2(X0,X0)
| ~ halts3(sK2,X0,X0)
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_29])],[avatar_definition]) ).
fof(f397,plain,
( ! [X0] :
( ~ halts3(sK2,X0,X0)
| ~ halts2(X0,X0)
| ~ program(X0) )
| ~ spl11_29 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f398,plain,
( ~ spl11_27
| ~ spl11_14
| ~ spl11_10
| ~ spl11_28
| spl11_29
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f373,f358,f396,f393,f88,f111,f389]) ).
fof(f400,definition,
( spl11_30
<=> ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_30])],[avatar_definition]) ).
fof(f401,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0) )
| ~ spl11_30 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( spl11_21
| spl11_15
| ~ spl11_10
| spl11_30
| ~ spl11_2
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f375,f358,f58,f400,f88,f114,f266]) ).
fof(f403,plain,
( program(sK5(sK2))
| ~ program(sK8(sK2))
| ~ program(sK2)
| ~ spl11_2
| ~ spl11_5
| spl11_25 ),
inference(resolution,[],[f383,f239]) ).
fof(f404,plain,
( ~ program(sK2)
| program(sK8(sK2))
| spl11_25 ),
inference(resolution,[],[f383,f121]) ).
fof(f405,plain,
( spl11_21
| ~ spl11_10
| spl11_25 ),
inference(avatar_split_clause,[],[f404,f382,f88,f266]) ).
fof(f406,plain,
( ~ spl11_10
| ~ spl11_21
| spl11_15
| ~ spl11_2
| ~ spl11_5
| spl11_25 ),
inference(avatar_split_clause,[],[f403,f382,f69,f58,f114,f266,f88]) ).
fof(f407,plain,
( ! [X0] :
( ~ program(sK8(X0))
| ~ program(X0)
| program(sK5(X0))
| ~ program(sK8(X0))
| program(sK7(X0)) )
| ~ spl11_1
| ~ spl11_5 ),
inference(resolution,[],[f56,f237]) ).
fof(f409,plain,
( ! [X0] :
( ~ program(sK7(sK2))
| ~ halts2(X0,X0)
| ~ program(X0) )
| ~ spl11_1
| ~ spl11_24 ),
inference(resolution,[],[f56,f359]) ).
fof(f411,plain,
( ! [X0] :
( program(sK7(X0))
| ~ program(X0)
| program(sK5(X0))
| ~ program(sK8(X0)) )
| ~ spl11_1
| ~ spl11_5 ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f415,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(X0) )
| ~ spl11_1
| ~ spl11_30 ),
inference(resolution,[],[f401,f56]) ).
fof(f416,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_1
| ~ spl11_30 ),
inference(duplicate_literal_removal,[],[f415]) ).
fof(f420,plain,
( $false
| ~ spl11_1
| ~ spl11_10
| ~ spl11_30 ),
inference(resolution,[],[f416,f89]) ).
fof(f427,plain,
( ~ spl11_1
| ~ spl11_10
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f437,plain,
( ~ program(sK2)
| program(sK5(sK2))
| ~ program(sK8(sK2))
| ~ spl11_1
| ~ spl11_5
| spl11_25 ),
inference(resolution,[],[f411,f383]) ).
fof(f438,plain,
( ~ spl11_21
| spl11_15
| ~ spl11_10
| ~ spl11_1
| ~ spl11_5
| spl11_25 ),
inference(avatar_split_clause,[],[f437,f382,f69,f55,f88,f114,f266]) ).
fof(f450,plain,
( program(sK5(sK2))
| ~ program(sK2)
| ~ spl11_2
| spl11_14 ),
inference(resolution,[],[f59,f391]) ).
fof(f455,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_2
| spl11_14 ),
inference(avatar_split_clause,[],[f450,f111,f58,f114,f88]) ).
fof(f461,plain,
( halts2(sK8(sK2),sK9(sK2))
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f469,definition,
( spl11_33
<=> ! [X0] :
( ~ program(X0)
| ~ halts3(sK2,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_33])],[avatar_definition]) ).
fof(f470,plain,
( ! [X0] :
( ~ halts3(sK2,X0,X0)
| ~ program(X0) )
| ~ spl11_33 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl11_34
<=> ! [X0] :
( ~ program(X0)
| halts2(sK7(sK2),X0)
| ~ halts3(sK2,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_34])],[avatar_definition]) ).
fof(f474,plain,
( ! [X0] :
( ~ halts3(sK2,X0,X0)
| halts2(sK7(sK2),X0)
| ~ program(X0) )
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f481,plain,
( ~ program(sK8(sK2))
| halts2(sK8(sK2),sK9(sK2))
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2))
| spl11_27 ),
inference(resolution,[],[f390,f37]) ).
fof(f482,plain,
( ~ program(sK8(sK2))
| halts2(sK8(sK2),sK9(sK2))
| ~ program(sK2)
| program(sK5(sK2))
| spl11_27 ),
inference(resolution,[],[f390,f36]) ).
fof(f483,plain,
( spl11_15
| ~ spl11_10
| spl11_23
| ~ spl11_21
| spl11_27 ),
inference(avatar_split_clause,[],[f482,f389,f266,f354,f88,f114]) ).
fof(f485,definition,
( spl11_35
<=> decides(sK2,sK5(sK2),sK6(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_35])],[avatar_definition]) ).
fof(f486,plain,
( ~ decides(sK2,sK5(sK2),sK6(sK2))
| spl11_35 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( ~ spl11_35
| ~ spl11_10
| spl11_23
| ~ spl11_21
| spl11_27 ),
inference(avatar_split_clause,[],[f481,f389,f266,f354,f88,f485]) ).
fof(f490,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(X0)
| halts2(X0,X0)
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2)) )
| ~ spl11_33 ),
inference(resolution,[],[f470,f37]) ).
fof(f493,plain,
( ! [X0] :
( ~ program(X0)
| halts2(X0,X0)
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2)) )
| ~ spl11_33 ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f497,plain,
( ~ spl11_35
| ~ spl11_10
| spl11_17
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f493,f469,f162,f88,f485]) ).
fof(f502,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(X0) )
| ~ spl11_17
| ~ spl11_30 ),
inference(resolution,[],[f401,f163]) ).
fof(f505,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_17
| ~ spl11_30 ),
inference(duplicate_literal_removal,[],[f502]) ).
fof(f508,plain,
( $false
| ~ spl11_10
| ~ spl11_17
| ~ spl11_30 ),
inference(resolution,[],[f505,f89]) ).
fof(f517,plain,
( ~ spl11_10
| ~ spl11_17
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f522,plain,
( ~ program(sK5(sK2))
| ~ spl11_8
| spl11_35 ),
inference(resolution,[],[f486,f81]) ).
fof(f526,plain,
( ! [X0] :
( halts2(sK7(sK2),X0)
| ~ program(X0)
| ~ program(X0)
| halts2(X0,X0)
| ~ program(sK2)
| program(sK5(sK2)) )
| ~ spl11_34 ),
inference(resolution,[],[f474,f36]) ).
fof(f527,plain,
( ! [X0] :
( halts2(sK7(sK2),X0)
| ~ program(X0)
| halts2(X0,X0)
| ~ program(sK2)
| program(sK5(sK2)) )
| ~ spl11_34 ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f532,definition,
( spl11_36
<=> ! [X0] :
( halts2(sK7(sK2),X0)
| halts2(X0,X0)
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition]) ).
fof(f533,plain,
( ! [X0] :
( halts2(sK7(sK2),X0)
| halts2(X0,X0)
| ~ program(X0) )
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f534,plain,
( spl11_15
| ~ spl11_10
| spl11_36
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f527,f473,f532,f88,f114]) ).
fof(f537,plain,
( halts2(sK7(sK2),sK7(sK2))
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f539,plain,
( ~ program(sK7(sK2))
| ~ spl11_26
| ~ spl11_30 ),
inference(resolution,[],[f537,f401]) ).
fof(f540,plain,
( ~ spl11_25
| ~ spl11_26
| ~ spl11_30 ),
inference(avatar_split_clause,[],[f539,f400,f385,f382]) ).
fof(f542,plain,
( program(sK5(sK2))
| ~ program(sK2)
| ~ spl11_5
| spl11_28 ),
inference(resolution,[],[f394,f70]) ).
fof(f543,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_5
| spl11_28 ),
inference(avatar_split_clause,[],[f542,f393,f69,f114,f88]) ).
fof(f557,definition,
( spl11_37
<=> halts3(sK2,sK7(sK2),sK7(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_37])],[avatar_definition]) ).
fof(f558,plain,
( ~ halts3(sK2,sK7(sK2),sK7(sK2))
| spl11_37 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f563,plain,
( ~ program(sK7(sK2))
| halts2(sK7(sK2),sK7(sK2))
| ~ program(sK2)
| program(sK5(sK2))
| spl11_37 ),
inference(resolution,[],[f558,f36]) ).
fof(f564,plain,
( spl11_15
| ~ spl11_10
| spl11_26
| ~ spl11_25
| spl11_37 ),
inference(avatar_split_clause,[],[f563,f557,f382,f385,f88,f114]) ).
fof(f568,plain,
( ~ program(sK8(sK2))
| ~ spl11_4
| ~ spl11_23 ),
inference(resolution,[],[f67,f461]) ).
fof(f576,plain,
( ~ spl11_21
| ~ spl11_4
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f568,f354,f66,f266]) ).
fof(f602,plain,
( ~ program(sK7(sK2))
| ~ spl11_4
| ~ spl11_26 ),
inference(resolution,[],[f537,f67]) ).
fof(f603,plain,
( ~ spl11_25
| ~ spl11_4
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f602,f385,f66,f382]) ).
fof(f646,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ program(X0)
| ~ halts2(X0,X0)
| ~ program(sK2)
| program(sK5(sK2)) )
| ~ spl11_29 ),
inference(resolution,[],[f397,f40]) ).
fof(f651,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ program(sK2)
| program(sK5(sK2)) )
| ~ spl11_29 ),
inference(duplicate_literal_removal,[],[f646]) ).
fof(f653,plain,
( spl11_15
| ~ spl11_10
| spl11_30
| ~ spl11_29 ),
inference(avatar_split_clause,[],[f651,f396,f400,f88,f114]) ).
fof(f705,plain,
! [X0,X1] :
( ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0))
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(resolution,[],[f251,f37]) ).
fof(f708,plain,
! [X0,X1] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ outputs(X0,bad)
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| ~ program(X0)
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0)) ),
inference(duplicate_literal_removal,[],[f705]) ).
fof(f747,plain,
( ! [X0,X1] :
( ~ outputs(X0,bad)
| ~ program(X1)
| ~ program(X0)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| program(sK5(X0))
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0))
| program(sK5(X0))
| ~ program(X0) )
| ~ spl11_5 ),
inference(resolution,[],[f320,f70]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ outputs(X0,bad)
| ~ program(X1)
| ~ program(X0)
| ~ halts2(sK7(X0),X1)
| ~ halts2(X1,X1)
| program(sK5(X0))
| ~ program(sK8(X0))
| halts2(sK8(X0),sK9(X0)) )
| ~ spl11_5 ),
inference(duplicate_literal_removal,[],[f747]) ).
fof(f753,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(sK2)
| ~ halts2(sK7(sK2),X0)
| ~ halts2(X0,X0)
| program(sK5(sK2))
| ~ program(sK8(sK2))
| halts2(sK8(sK2),sK9(sK2)) )
| ~ spl11_5
| ~ spl11_14 ),
inference(resolution,[],[f748,f112]) ).
fof(f755,plain,
( spl11_23
| ~ spl11_21
| spl11_15
| ~ spl11_10
| spl11_24
| ~ spl11_5
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f753,f111,f69,f358,f88,f114,f266,f354]) ).
fof(f757,plain,
( ~ program(sK8(sK2))
| ~ spl11_1
| spl11_23 ),
inference(resolution,[],[f56,f355]) ).
fof(f758,plain,
( ~ spl11_21
| ~ spl11_1
| spl11_23 ),
inference(avatar_split_clause,[],[f757,f354,f55,f266]) ).
fof(f771,plain,
( ~ program(sK2)
| halts2(sK8(sK2),sK9(sK2))
| program(sK7(sK2))
| ~ program(sK8(sK2))
| program(sK5(sK2))
| ~ spl11_14 ),
inference(resolution,[],[f112,f181]) ).
fof(f772,plain,
( spl11_15
| ~ spl11_21
| spl11_25
| spl11_23
| ~ spl11_10
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f771,f111,f88,f354,f382,f266,f114]) ).
fof(f798,plain,
( halts2(sK7(sK2),sK7(sK2))
| ~ program(sK7(sK2))
| spl11_26
| ~ spl11_36 ),
inference(resolution,[],[f386,f533]) ).
fof(f800,plain,
( ~ spl11_25
| spl11_26
| spl11_26
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f798,f532,f385,f385,f382]) ).
fof(f813,plain,
! [X0,X1] :
( ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ program(X1)
| ~ halts2(X1,X1)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(resolution,[],[f293,f41]) ).
fof(f815,plain,
! [X0,X1] :
( ~ program(X0)
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ program(X1)
| halts2(X1,X1)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(resolution,[],[f293,f37]) ).
fof(f818,plain,
! [X0,X1] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| ~ program(X0)
| halts2(X1,X1) ),
inference(duplicate_literal_removal,[],[f815]) ).
fof(f820,plain,
! [X0,X1] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ halts2(sK8(X0),sK9(X0))
| ~ program(X1)
| ~ outputs(X0,good)
| ~ halts2(sK7(X0),X1)
| ~ program(sK8(X0))
| ~ program(X0)
| ~ halts2(X1,X1) ),
inference(duplicate_literal_removal,[],[f813]) ).
fof(f829,plain,
( ! [X0] :
( ~ program(X0)
| ~ outputs(sK2,good)
| ~ program(sK2)
| ~ outputs(sK2,bad)
| ~ program(X0)
| ~ halts3(sK2,X0,X0)
| ~ halts3(sK2,sK8(sK2),sK9(sK2)) )
| ~ spl11_22
| ~ spl11_24 ),
inference(resolution,[],[f376,f137]) ).
fof(f834,plain,
( ! [X0] :
( ~ program(X0)
| ~ outputs(sK2,good)
| ~ program(sK2)
| ~ outputs(sK2,bad)
| ~ halts3(sK2,X0,X0)
| ~ halts3(sK2,sK8(sK2),sK9(sK2)) )
| ~ spl11_22
| ~ spl11_24 ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f836,plain,
( ~ spl11_27
| ~ spl11_14
| ~ spl11_10
| ~ spl11_28
| spl11_33
| ~ spl11_22
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f834,f358,f269,f469,f393,f88,f111,f389]) ).
fof(f839,plain,
( ~ program(sK8(sK2))
| ~ halts2(sK8(sK2),sK9(sK2))
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2))
| spl11_27 ),
inference(resolution,[],[f390,f41]) ).
fof(f840,plain,
( ~ program(sK8(sK2))
| ~ halts2(sK8(sK2),sK9(sK2))
| ~ program(sK2)
| program(sK5(sK2))
| spl11_27 ),
inference(resolution,[],[f390,f40]) ).
fof(f843,plain,
( spl11_15
| ~ spl11_10
| ~ spl11_23
| ~ spl11_21
| spl11_27 ),
inference(avatar_split_clause,[],[f840,f389,f266,f354,f88,f114]) ).
fof(f850,plain,
( ~ program(sK7(sK2))
| ~ spl11_1
| spl11_26 ),
inference(resolution,[],[f56,f386]) ).
fof(f851,plain,
( ~ spl11_25
| ~ spl11_1
| spl11_26 ),
inference(avatar_split_clause,[],[f850,f385,f55,f382]) ).
fof(f852,plain,
( outputs(sK2,good)
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f853,plain,
( ~ spl11_15
| ~ spl11_10
| spl11_28
| ~ spl11_6
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f223,f80,f73,f393,f88,f114]) ).
fof(f855,plain,
( ~ spl11_15
| spl11_21
| ~ spl11_28
| ~ spl11_10
| spl11_24
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f307,f80,f358,f88,f393,f266,f114]) ).
fof(f856,plain,
( ~ spl11_15
| ~ spl11_8
| spl11_35 ),
inference(avatar_split_clause,[],[f522,f485,f80,f114]) ).
fof(f857,plain,
( ~ spl11_10
| spl11_14
| ~ spl11_15
| ~ spl11_3
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f108,f80,f62,f114,f111,f88]) ).
fof(f860,plain,
( ~ spl11_15
| ~ spl11_10
| spl11_21
| spl11_36
| ~ spl11_14
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f301,f80,f111,f532,f266,f88,f114]) ).
fof(f862,plain,
( ~ spl11_35
| ~ spl11_10
| ~ spl11_23
| ~ spl11_21
| spl11_27 ),
inference(avatar_split_clause,[],[f839,f389,f266,f354,f88,f485]) ).
fof(f865,plain,
( ! [X0] :
( ~ program(X0)
| halts2(sK7(sK2),X0)
| program(sK8(sK2))
| ~ program(sK2)
| halts2(X0,X0)
| program(sK5(sK2)) )
| ~ spl11_14 ),
inference(resolution,[],[f112,f173]) ).
fof(f867,plain,
( spl11_15
| ~ spl11_10
| spl11_21
| spl11_36
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f865,f111,f532,f266,f88,f114]) ).
fof(f883,plain,
( ! [X0] :
( ~ halts2(sK8(sK2),sK9(sK2))
| ~ program(X0)
| ~ program(sK2)
| ~ halts2(sK7(sK2),X0)
| ~ program(sK8(sK2))
| program(sK5(sK2))
| ~ halts2(X0,X0) )
| ~ spl11_28 ),
inference(resolution,[],[f852,f330]) ).
fof(f884,plain,
( spl11_15
| ~ spl11_21
| ~ spl11_10
| spl11_24
| ~ spl11_23
| ~ spl11_28 ),
inference(avatar_split_clause,[],[f883,f393,f354,f358,f88,f266,f114]) ).
fof(f904,plain,
( ~ outputs(sK2,good)
| ~ program(sK2)
| ~ outputs(sK2,bad)
| ~ program(sK7(sK2))
| ~ halts3(sK2,sK7(sK2),sK7(sK2))
| ~ halts3(sK2,sK8(sK2),sK9(sK2))
| spl11_26 ),
inference(resolution,[],[f386,f137]) ).
fof(f905,plain,
( ~ spl11_27
| ~ spl11_37
| ~ spl11_25
| ~ spl11_14
| ~ spl11_10
| ~ spl11_28
| spl11_26 ),
inference(avatar_split_clause,[],[f904,f385,f393,f88,f111,f382,f557,f389]) ).
fof(f919,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ program(X0)
| ~ halts2(X0,X0)
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2)) )
| ~ spl11_29 ),
inference(resolution,[],[f397,f41]) ).
fof(f926,plain,
( ! [X0] :
( ~ halts2(X0,X0)
| ~ program(X0)
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2)) )
| ~ spl11_29 ),
inference(duplicate_literal_removal,[],[f919]) ).
fof(f927,plain,
( ~ spl11_35
| ~ spl11_10
| spl11_30
| ~ spl11_29 ),
inference(avatar_split_clause,[],[f926,f396,f400,f88,f485]) ).
fof(f974,plain,
( ! [X0] :
( ~ halts2(sK8(sK2),sK9(sK2))
| ~ program(X0)
| ~ outputs(sK2,good)
| ~ halts2(sK7(sK2),X0)
| ~ program(sK8(sK2))
| ~ program(sK2)
| halts2(X0,X0)
| ~ program(sK5(sK2)) )
| ~ spl11_8 ),
inference(resolution,[],[f818,f81]) ).
fof(f975,plain,
( ~ spl11_15
| ~ spl11_10
| ~ spl11_21
| ~ spl11_28
| spl11_22
| ~ spl11_23
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f974,f80,f354,f269,f393,f266,f88,f114]) ).
fof(f985,plain,
( ! [X0] :
( ~ halts2(sK8(sK2),sK9(sK2))
| ~ program(X0)
| ~ outputs(sK2,good)
| ~ halts2(sK7(sK2),X0)
| ~ program(sK8(sK2))
| ~ program(sK2)
| ~ halts2(X0,X0)
| ~ program(sK5(sK2)) )
| ~ spl11_8 ),
inference(resolution,[],[f820,f81]) ).
fof(f986,plain,
( ~ spl11_15
| ~ spl11_10
| ~ spl11_21
| ~ spl11_28
| spl11_24
| ~ spl11_23
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f985,f80,f354,f358,f393,f266,f88,f114]) ).
fof(f990,plain,
( ! [X0] :
( ~ program(sK2)
| ~ outputs(sK2,bad)
| ~ halts3(sK2,sK8(sK2),sK9(sK2))
| ~ program(X0)
| ~ halts3(sK2,X0,X0)
| halts2(sK7(sK2),X0) )
| spl11_23 ),
inference(resolution,[],[f355,f144]) ).
fof(f992,plain,
( spl11_34
| ~ spl11_27
| ~ spl11_14
| ~ spl11_10
| spl11_23 ),
inference(avatar_split_clause,[],[f990,f354,f88,f111,f389,f473]) ).
fof(f995,plain,
( ! [X0] :
( halts2(sK7(sK2),X0)
| ~ program(X0)
| ~ program(X0)
| halts2(X0,X0)
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2)) )
| ~ spl11_34 ),
inference(resolution,[],[f474,f37]) ).
fof(f998,plain,
( ! [X0] :
( halts2(sK7(sK2),X0)
| ~ program(X0)
| halts2(X0,X0)
| ~ program(sK2)
| ~ decides(sK2,sK5(sK2),sK6(sK2)) )
| ~ spl11_34 ),
inference(duplicate_literal_removal,[],[f995]) ).
fof(f1001,plain,
( ~ spl11_35
| ~ spl11_10
| spl11_36
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f998,f473,f532,f88,f485]) ).
fof(f1005,plain,
( ! [X0] :
( ~ outputs(sK2,bad)
| ~ program(X0)
| ~ outputs(sK2,good)
| ~ halts2(sK7(sK2),X0)
| ~ halts2(X0,X0)
| ~ program(sK2)
| ~ program(sK8(sK2))
| halts2(sK8(sK2),sK9(sK2))
| ~ program(sK5(sK2)) )
| ~ spl11_8 ),
inference(resolution,[],[f708,f81]) ).
fof(f1006,plain,
( ~ spl11_15
| spl11_23
| ~ spl11_21
| ~ spl11_10
| ~ spl11_28
| spl11_24
| ~ spl11_14
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1005,f80,f111,f358,f393,f88,f266,f354,f114]) ).
fof(f1008,plain,
( spl11_30
| ~ spl11_25
| ~ spl11_1
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f409,f358,f55,f382,f400]) ).
fof(f1010,plain,
( ~ spl11_25
| ~ spl11_26
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f372,f358,f385,f382]) ).
fof(f1012,plain,
( ~ spl11_15
| spl11_25
| ~ spl11_28
| ~ spl11_21
| ~ spl11_10
| ~ spl11_23
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f299,f80,f354,f88,f266,f393,f382,f114]) ).
fof(f1013,plain,
( ~ spl11_15
| ~ spl11_10
| ~ spl11_21
| spl11_25
| spl11_23
| ~ spl11_14
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f297,f80,f111,f354,f382,f266,f88,f114]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f60]) ).
cnf(s2,plain,
( spl11_1
| spl11_3 ),
inference(sat_conversion,[],[f64]) ).
cnf(s3,plain,
( spl11_4
| spl11_5 ),
inference(sat_conversion,[],[f71]) ).
cnf(s4,plain,
( spl11_4
| spl11_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s5,plain,
( spl11_7
| spl11_8 ),
inference(sat_conversion,[],[f82]) ).
cnf(s6,plain,
( spl11_8
| spl11_9 ),
inference(sat_conversion,[],[f86]) ).
cnf(s7,plain,
( spl11_7
| spl11_10 ),
inference(sat_conversion,[],[f90]) ).
cnf(s8,plain,
( spl11_9
| spl11_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s10,plain,
( ~ spl11_7
| ~ spl11_9 ),
inference(sat_conversion,[],[f107]) ).
cnf(s18,plain,
( ~ spl11_5
| ~ spl11_10
| spl11_15
| spl11_21
| spl11_24 ),
inference(sat_conversion,[],[f363]) ).
cnf(s20,plain,
( ~ spl11_10
| ~ spl11_14
| ~ spl11_24
| ~ spl11_27
| ~ spl11_28
| spl11_29 ),
inference(sat_conversion,[],[f398]) ).
cnf(s21,plain,
( ~ spl11_2
| ~ spl11_10
| spl11_15
| spl11_21
| ~ spl11_24
| spl11_30 ),
inference(sat_conversion,[],[f402]) ).
cnf(s22,plain,
( ~ spl11_10
| spl11_21
| spl11_25 ),
inference(sat_conversion,[],[f405]) ).
cnf(s23,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_10
| spl11_15
| ~ spl11_21
| spl11_25 ),
inference(sat_conversion,[],[f406]) ).
cnf(s25,plain,
( ~ spl11_1
| ~ spl11_10
| ~ spl11_30 ),
inference(sat_conversion,[],[f427]) ).
cnf(s26,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_10
| spl11_15
| ~ spl11_21
| spl11_25 ),
inference(sat_conversion,[],[f438]) ).
cnf(s29,plain,
( ~ spl11_2
| ~ spl11_10
| spl11_14
| spl11_15 ),
inference(sat_conversion,[],[f455]) ).
cnf(s33,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_21
| spl11_23
| spl11_27 ),
inference(sat_conversion,[],[f483]) ).
cnf(s34,plain,
( ~ spl11_10
| ~ spl11_21
| spl11_23
| spl11_27
| ~ spl11_35 ),
inference(sat_conversion,[],[f487]) ).
cnf(s36,plain,
( ~ spl11_10
| spl11_17
| ~ spl11_33
| ~ spl11_35 ),
inference(sat_conversion,[],[f497]) ).
cnf(s41,plain,
( ~ spl11_10
| ~ spl11_17
| ~ spl11_30 ),
inference(sat_conversion,[],[f517]) ).
cnf(s42,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_34
| spl11_36 ),
inference(sat_conversion,[],[f534]) ).
cnf(s44,plain,
( ~ spl11_25
| ~ spl11_26
| ~ spl11_30 ),
inference(sat_conversion,[],[f540]) ).
cnf(s45,plain,
( ~ spl11_5
| ~ spl11_10
| spl11_15
| spl11_28 ),
inference(sat_conversion,[],[f543]) ).
cnf(s48,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_25
| spl11_26
| spl11_37 ),
inference(sat_conversion,[],[f564]) ).
cnf(s50,plain,
( ~ spl11_4
| ~ spl11_21
| ~ spl11_23 ),
inference(sat_conversion,[],[f576]) ).
cnf(s55,plain,
( ~ spl11_4
| ~ spl11_25
| ~ spl11_26 ),
inference(sat_conversion,[],[f603]) ).
cnf(s59,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_29
| spl11_30 ),
inference(sat_conversion,[],[f653]) ).
cnf(s67,plain,
( ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_15
| ~ spl11_21
| spl11_23
| spl11_24 ),
inference(sat_conversion,[],[f755]) ).
cnf(s68,plain,
( ~ spl11_1
| ~ spl11_21
| spl11_23 ),
inference(sat_conversion,[],[f758]) ).
cnf(s74,plain,
( ~ spl11_10
| ~ spl11_14
| spl11_15
| ~ spl11_21
| spl11_23
| spl11_25 ),
inference(sat_conversion,[],[f772]) ).
cnf(s75,plain,
( spl11_26
| ~ spl11_25
| spl11_26
| ~ spl11_36 ),
inference(sat_conversion,[],[f800]) ).
cnf(s76,plain,
( ~ spl11_25
| spl11_26
| ~ spl11_36 ),
inference(rat,[],[s75]) ).
cnf(s80,plain,
( ~ spl11_10
| ~ spl11_14
| ~ spl11_22
| ~ spl11_24
| ~ spl11_27
| ~ spl11_28
| spl11_33 ),
inference(sat_conversion,[],[f836]) ).
cnf(s81,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_21
| ~ spl11_23
| spl11_27 ),
inference(sat_conversion,[],[f843]) ).
cnf(s85,plain,
( ~ spl11_1
| ~ spl11_25
| spl11_26 ),
inference(sat_conversion,[],[f851]) ).
cnf(s86,plain,
( ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15
| spl11_28 ),
inference(sat_conversion,[],[f853]) ).
cnf(s88,plain,
( ~ spl11_8
| ~ spl11_10
| ~ spl11_15
| spl11_21
| spl11_24
| ~ spl11_28 ),
inference(sat_conversion,[],[f855]) ).
cnf(s89,plain,
( ~ spl11_8
| ~ spl11_15
| spl11_35 ),
inference(sat_conversion,[],[f856]) ).
cnf(s90,plain,
( ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| spl11_14
| ~ spl11_15 ),
inference(sat_conversion,[],[f857]) ).
cnf(s93,plain,
( ~ spl11_8
| ~ spl11_10
| ~ spl11_14
| ~ spl11_15
| spl11_21
| spl11_36 ),
inference(sat_conversion,[],[f860]) ).
cnf(s95,plain,
( ~ spl11_10
| ~ spl11_21
| ~ spl11_23
| spl11_27
| ~ spl11_35 ),
inference(sat_conversion,[],[f862]) ).
cnf(s96,plain,
( ~ spl11_10
| ~ spl11_14
| spl11_15
| spl11_21
| spl11_36 ),
inference(sat_conversion,[],[f867]) ).
cnf(s98,plain,
( ~ spl11_10
| spl11_15
| ~ spl11_21
| ~ spl11_23
| spl11_24
| ~ spl11_28 ),
inference(sat_conversion,[],[f884]) ).
cnf(s102,plain,
( ~ spl11_10
| ~ spl11_14
| ~ spl11_25
| spl11_26
| ~ spl11_27
| ~ spl11_28
| ~ spl11_37 ),
inference(sat_conversion,[],[f905]) ).
cnf(s104,plain,
( ~ spl11_10
| ~ spl11_29
| spl11_30
| ~ spl11_35 ),
inference(sat_conversion,[],[f927]) ).
cnf(s106,plain,
( ~ spl11_8
| ~ spl11_10
| ~ spl11_15
| ~ spl11_21
| spl11_22
| ~ spl11_23
| ~ spl11_28 ),
inference(sat_conversion,[],[f975]) ).
cnf(s107,plain,
( ~ spl11_8
| ~ spl11_10
| ~ spl11_15
| ~ spl11_21
| ~ spl11_23
| spl11_24
| ~ spl11_28 ),
inference(sat_conversion,[],[f986]) ).
cnf(s108,plain,
( ~ spl11_10
| ~ spl11_14
| spl11_23
| ~ spl11_27
| spl11_34 ),
inference(sat_conversion,[],[f992]) ).
cnf(s109,plain,
( ~ spl11_10
| ~ spl11_34
| ~ spl11_35
| spl11_36 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s110,plain,
( ~ spl11_8
| ~ spl11_10
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21
| spl11_23
| spl11_24
| ~ spl11_28 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s111,plain,
( ~ spl11_1
| ~ spl11_24
| ~ spl11_25
| spl11_30 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s113,plain,
( ~ spl11_24
| ~ spl11_25
| ~ spl11_26 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s115,plain,
( ~ spl11_8
| ~ spl11_10
| ~ spl11_15
| ~ spl11_21
| ~ spl11_23
| spl11_25
| ~ spl11_28 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s116,plain,
( ~ spl11_8
| ~ spl11_10
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21
| spl11_23
| spl11_25 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s117,plain,
( spl11_14
| spl11_7
| spl11_1 ),
inference(rat,[],[s29,s90,s2,s1,s7,s5]) ).
cnf(s118,plain,
( spl11_21
| spl11_30
| spl11_15
| ~ spl11_10
| ~ spl11_5
| ~ spl11_2 ),
inference(rat,[],[s21,s18]) ).
cnf(s119,plain,
( spl11_27
| ~ spl11_21
| ~ spl11_10
| spl11_15 ),
inference(rat,[],[s33,s81]) ).
cnf(s120,plain,
( spl11_30
| spl11_15
| ~ spl11_14
| ~ spl11_10
| ~ spl11_5
| ~ spl11_2 ),
inference(rat,[],[s67,s98,s20,s119,s118,s59,s45]) ).
cnf(s121,plain,
( ~ spl11_21
| spl11_15
| ~ spl11_14
| ~ spl11_10
| ~ spl11_5
| ~ spl11_2 ),
inference(rat,[],[s48,s102,s44,s119,s23,s45,s120]) ).
cnf(s122,plain,
( spl11_15
| ~ spl11_14
| ~ spl11_2
| ~ spl11_10
| ~ spl11_5 ),
inference(rat,[],[s76,s44,s96,s22,s121,s120]) ).
cnf(s123,plain,
( spl11_27
| ~ spl11_21
| ~ spl11_10
| ~ spl11_35 ),
inference(rat,[],[s34,s95]) ).
cnf(s124,plain,
( spl11_24
| ~ spl11_21
| ~ spl11_28
| ~ spl11_15
| ~ spl11_14
| ~ spl11_8
| ~ spl11_10 ),
inference(rat,[],[s110,s107]) ).
cnf(s125,plain,
( ~ spl11_21
| ~ spl11_28
| ~ spl11_15
| ~ spl11_14
| ~ spl11_8
| ~ spl11_10 ),
inference(rat,[],[s76,s44,s109,s116,s108,s106,s80,s36,s41,s104,s20,s124,s123,s89]) ).
cnf(s126,plain,
( ~ spl11_28
| ~ spl11_10
| ~ spl11_15
| ~ spl11_14
| ~ spl11_8 ),
inference(rat,[],[s76,s113,s88,s93,s22,s125]) ).
cnf(s127,plain,
( spl11_7
| spl11_4
| spl11_1 ),
inference(rat,[],[s126,s86,s122,s117,s5,s7,s1,s4,s3]) ).
cnf(s128,plain,
( spl11_15
| ~ spl11_10
| ~ spl11_5
| ~ spl11_2 ),
inference(rat,[],[s122,s29]) ).
cnf(s129,plain,
( spl11_4
| spl11_1 ),
inference(rat,[],[s126,s90,s86,s128,s6,s8,s10,s127,s3,s4,s2,s1]) ).
cnf(s130,plain,
( ~ spl11_21
| ~ spl11_14
| spl11_15
| ~ spl11_10
| ~ spl11_4 ),
inference(rat,[],[s76,s55,s42,s74,s108,s119,s50]) ).
cnf(s131,plain,
( ~ spl11_14
| spl11_15
| ~ spl11_4
| ~ spl11_10 ),
inference(rat,[],[s76,s55,s96,s22,s130]) ).
cnf(s132,plain,
( spl11_15
| ~ spl11_10
| spl11_1 ),
inference(rat,[],[s131,s29,s1,s129]) ).
cnf(s133,plain,
( ~ spl11_21
| ~ spl11_8
| ~ spl11_14
| ~ spl11_15
| ~ spl11_10
| ~ spl11_4 ),
inference(rat,[],[s76,s55,s109,s116,s108,s123,s50,s89]) ).
cnf(s134,plain,
( ~ spl11_8
| ~ spl11_14
| ~ spl11_4
| ~ spl11_15
| ~ spl11_10 ),
inference(rat,[],[s76,s55,s93,s22,s133]) ).
cnf(s135,plain,
spl11_8,
inference(rat,[],[s10,s5,s6]) ).
cnf(s136,plain,
( ~ spl11_10
| spl11_1 ),
inference(rat,[],[s134,s90,s132,s2,s129,s135]) ).
cnf(s137,plain,
spl11_10,
inference(rat,[],[s10,s7,s8]) ).
cnf(s138,plain,
spl11_1,
inference(rat,[],[s136,s137]) ).
cnf(s139,plain,
~ spl11_30,
inference(rat,[],[s25,s137,s138]) ).
cnf(s140,plain,
( ~ spl11_21
| ~ spl11_5
| spl11_15 ),
inference(rat,[],[s111,s98,s26,s68,s45,s138,s139,s137]) ).
cnf(s141,plain,
( ~ spl11_5
| spl11_15 ),
inference(rat,[],[s111,s18,s22,s140,s137,s139,s138]) ).
cnf(s142,plain,
( ~ spl11_21
| ~ spl11_4 ),
inference(rat,[],[s50,s68,s138]) ).
cnf(s143,plain,
( ~ spl11_25
| ~ spl11_4 ),
inference(rat,[],[s85,s55,s138]) ).
cnf(s144,plain,
~ spl11_4,
inference(rat,[],[s143,s22,s142,s137]) ).
cnf(s145,plain,
spl11_6,
inference(rat,[],[s4,s144]) ).
cnf(s146,plain,
spl11_5,
inference(rat,[],[s3,s144]) ).
cnf(s147,plain,
spl11_15,
inference(rat,[],[s141,s146]) ).
cnf(s149,plain,
spl11_28,
inference(rat,[],[s86,s145,s137,s135,s147]) ).
cnf(s154,plain,
( ~ spl11_23
| ~ spl11_21 ),
inference(rat,[],[s111,s107,s115,s149,s147,s135,s137,s139,s138]) ).
cnf(s155,plain,
~ spl11_21,
inference(rat,[],[s154,s68,s138]) ).
cnf(s156,plain,
spl11_25,
inference(rat,[],[s22,s137,s155]) ).
cnf(s157,plain,
spl11_24,
inference(rat,[],[s88,s147,s149,s135,s137,s155]) ).
cnf(s160,plain,
$false,
inference(rat,[],[s111,s139,s138,s156,s157]) ).
fof(f1014,plain,
$false,
inference(avatar_sat_refutation,[],[s160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM003+3 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:43:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.79/1.15 % (1218980)Detected formulas, will run a generic FOF schedule.
% 2.79/1.15 % (1218990)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=191522168:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.15 % (1218990)Refutation not found, incomplete strategy
% 2.79/1.15 % (1218990)------------------------------
% 2.79/1.15 % (1218990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.15 % (1218990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.15 % (1218990)CaDiCaL version: 2.1.3
% 2.79/1.15 % (1218990)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.15 % (1218990)Time elapsed: 0.001 s
% 2.79/1.15 % (1218990)Peak memory usage: 88 MB
% 2.79/1.15 % (1218992)dis-21_1_sil=8000:lcm=predicate:random_seed=4179213472:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.79/1.15 % (1218986)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=996455872:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.15 % (1218989)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3924434547:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.15 % (1218988)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4098751883:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.15 % (1218987)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1829505119:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.15 % (1218991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3333992896:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.15 % (1218989)Refutation not found, incomplete strategy
% 2.79/1.15 % (1218989)------------------------------
% 2.79/1.15 % (1218989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.15 % (1218989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.15 % (1218989)CaDiCaL version: 2.1.3
% 2.79/1.15 % (1218989)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.15 % (1218989)Time elapsed: 0.001 s
% 2.79/1.15 % (1218989)Peak memory usage: 88 MB
% 2.79/1.15 % (1218992)First to succeed.
% 2.79/1.15 % (1218992)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1218980"
% 2.79/1.15 % (1218991)Also succeeded, but the first one will report.
% 2.79/1.15 % (1218990)------------------------------
% 2.79/1.15 % (1218990)------------------------------
% 2.79/1.15 % (1219000)lrs+10_1_sil=8000:sp=occurrence:random_seed=3526958570:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.79/1.15 % (1219000)Also succeeded, but the first one will report.
% 2.79/1.15 % (1218989)------------------------------
% 2.79/1.15 % (1218989)------------------------------
% 2.79/1.15 % (1218992)Refutation found. Thanks to Tanya!
% 2.79/1.15 % SZS status Theorem for theBenchmark
% 2.79/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.34 % (1218992)------------------------------
% 3.96/1.34 % (1218992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.34 % (1218992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.34 % (1218992)CaDiCaL version: 2.1.3
% 3.96/1.34 % (1218992)Termination reason: Refutation
% 3.96/1.34 % (1218992)Time elapsed: 0.028 s
% 3.96/1.34 % (1218992)Peak memory usage: 89 MB
% 3.96/1.34 % (1218992)Instructions burned: 42 (million)
% 3.96/1.34 % (1218992)------------------------------
% 3.96/1.34 % (1218992)------------------------------
% 3.96/1.34 % (1218980)Success in time 0.47 s
% 3.96/1.34 % Vampire exiting
%------------------------------------------------------------------------------