%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM003+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 3.10s 1.12s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 49
% Syntax : Number of formulae : 332 ( 18 unt; 44 def)
% Number of atoms : 1367 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1801 ( 766 ~; 791 |; 167 &)
% ( 40 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 51 ( 50 usr; 43 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-1 aty)
% Number of variables : 267 ( 0 sgn 223 !; 44 ?)
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ( halts3(X0,X1,X1)
& outputs(X0,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( halts3(X0,X1,X1)
& outputs(X0,bad) ) ) ) )
=> ? [X2] :
( program(X2)
& ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ( halts2(X2,X1)
& outputs(X2,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( halts2(X2,X1)
& outputs(X2,bad) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f4,axiom,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ( halts2(X0,X1)
& outputs(X0,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( halts2(X0,X1)
& outputs(X0,bad) ) ) ) )
=> ? [X2] :
( program(X2)
& ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ~ halts2(X2,X1) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( halts2(X2,X1)
& outputs(X2,bad) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f5,conjecture,
~ ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f6,negated_conjecture,
~ ~ ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,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(f8,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(f9,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ( halts3(X0,X1,X1)
& outputs(X0,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( halts3(X0,X1,X1)
& outputs(X0,bad) ) ) ) )
=> ? [X2] :
( program(X2)
& ! [X3] :
( ( ( program(X3)
& halts2(X3,X3) )
=> ( halts2(X2,X3)
& outputs(X2,good) ) )
& ( ( program(X3)
& ~ halts2(X3,X3) )
=> ( halts2(X2,X3)
& outputs(X2,bad) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f10,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ( halts2(X0,X1)
& outputs(X0,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( halts2(X0,X1)
& outputs(X0,bad) ) ) ) )
=> ? [X2] :
( program(X2)
& ! [X3] :
( ( ( program(X3)
& halts2(X3,X3) )
=> ~ halts2(X2,X3) )
& ( ( program(X3)
& ~ halts2(X3,X3) )
=> ( halts2(X2,X3)
& outputs(X2,bad) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f11,plain,
? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
inference(flattening,[],[f6]) ).
fof(f12,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,[],[f7]) ).
fof(f13,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,[],[f8]) ).
fof(f14,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,[],[f13]) ).
fof(f15,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ( halts2(X2,X3)
& outputs(X2,good) )
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X1) )
| ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) ) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f16,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ( halts2(X2,X3)
& outputs(X2,good) )
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X1) )
| ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) ) ) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ halts2(X2,X3)
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X1) )
| ( ( ~ halts2(X0,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f18,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ halts2(X2,X3)
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X1) )
| ( ( ~ halts2(X0,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) ) ) ) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0] :
( algorithm(X0)
& ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f20,definition,
! [X1,X0] :
( ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ( halts2(X2,X3)
& outputs(X2,good) )
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f22,plain,
( sP1
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X1) )
| sP0(X1,X0) ) ) ),
inference(definition_folding,[],[f16,f21,f20]) ).
fof(f23,definition,
! [X1,X0] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) )
| ~ sP2(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ halts2(X2,X3)
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,plain,
( sP3
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X1) )
| sP2(X1,X0) ) ) ),
inference(definition_folding,[],[f18,f24,f23]) ).
fof(f26,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,[],[f12]) ).
fof(f27,plain,
( ( program(sK4)
& ! [X1] :
( ! [X2] : decides(sK4,X1,X2)
| ~ program(X1) ) )
| ! [X3] :
( ~ algorithm(X3)
| ( ~ decides(X3,sK5(X3),sK6(X3))
& program(sK5(X3)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X4,sK5(X3)),skolemize(X5,sK6(X3))],[f26]) ).
fof(f28,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,[],[f14]) ).
fof(f29,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,sK7(X0),sK8(X0))
& program(sK7(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X3,sK7(X0)),skolemize(X4,sK8(X0))],[f28]) ).
fof(f30,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ( halts2(X2,X3)
& outputs(X2,good) )
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f21]) ).
fof(f31,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ( halts2(X0,X1)
& outputs(X0,good) )
| ~ program(X1)
| ~ halts2(X1,X1) )
& ( ( halts2(X0,X1)
& outputs(X0,bad) )
| ~ program(X1)
| halts2(X1,X1) ) ) )
| ~ sP1 ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
( ( program(sK9)
& ! [X1] :
( ( ( halts2(sK9,X1)
& outputs(sK9,good) )
| ~ program(X1)
| ~ halts2(X1,X1) )
& ( ( halts2(sK9,X1)
& outputs(sK9,bad) )
| ~ program(X1)
| halts2(X1,X1) ) ) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f31]) ).
fof(f33,plain,
! [X1,X0] :
( ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( ~ halts3(X1,X0,X0)
| ~ outputs(X1,bad) )
& program(X0)
& ~ halts2(X0,X0) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
( sP1
| ! [X0] :
( ~ program(X0)
| ( ( ~ halts3(X0,sK10(X0),sK10(X0))
| ~ outputs(X0,good) )
& program(sK10(X0))
& halts2(sK10(X0),sK10(X0)) )
| sP0(sK10(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f22]) ).
fof(f36,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ halts2(X2,X3)
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| ~ program(X3)
| halts2(X3,X3) ) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f37,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ~ halts2(X0,X1)
| ~ program(X1)
| ~ halts2(X1,X1) )
& ( ( halts2(X0,X1)
& outputs(X0,bad) )
| ~ program(X1)
| halts2(X1,X1) ) ) )
| ~ sP3 ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
( ( program(sK11)
& ! [X1] :
( ( ~ halts2(sK11,X1)
| ~ program(X1)
| ~ halts2(X1,X1) )
& ( ( halts2(sK11,X1)
& outputs(sK11,bad) )
| ~ program(X1)
| halts2(X1,X1) ) ) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f37]) ).
fof(f39,plain,
! [X1,X0] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,bad) )
& program(X1)
& ~ halts2(X1,X1) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0,X1] :
( ( ( ~ halts2(X1,X0)
| ~ outputs(X1,bad) )
& program(X0)
& ~ halts2(X0,X0) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
( sP3
| ! [X0] :
( ~ program(X0)
| ( ( ~ halts2(X0,sK12(X0))
| ~ outputs(X0,good) )
& program(sK12(X0))
& halts2(sK12(X0),sK12(X0)) )
| sP2(sK12(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f25]) ).
fof(f42,plain,
( algorithm(sK13)
& ! [X1] :
( ! [X2] : decides(sK13,X1,X2)
| ~ program(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f19]) ).
fof(f43,plain,
! [X2,X3,X1] :
( decides(sK4,X1,X2)
| ~ program(X1)
| ~ algorithm(X3)
| program(sK5(X3)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X2,X3,X1] :
( decides(sK4,X1,X2)
| ~ program(X1)
| ~ algorithm(X3)
| ~ decides(X3,sK5(X3),sK6(X3)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X3] :
( program(sK4)
| ~ algorithm(X3)
| program(sK5(X3)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f46,plain,
! [X3] :
( program(sK4)
| ~ algorithm(X3)
| ~ decides(X3,sK5(X3),sK6(X3)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X2,X0,X1] :
( outputs(X0,bad)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| program(sK7(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X2,X0,X1] :
( outputs(X0,bad)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK7(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| program(sK7(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK7(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
! [X2,X0,X1] :
( outputs(X0,good)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| program(sK7(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X2,X0,X1] :
( outputs(X0,good)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK7(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| program(sK7(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| ~ halts2(X1,X2)
| ~ program(X0)
| ~ decides(X0,sK7(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f55,plain,
! [X1] :
( outputs(sK9,bad)
| ~ program(X1)
| halts2(X1,X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
! [X1] :
( halts2(sK9,X1)
| ~ program(X1)
| halts2(X1,X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
! [X1] :
( outputs(sK9,good)
| ~ program(X1)
| ~ halts2(X1,X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
! [X1] :
( halts2(sK9,X1)
| ~ program(X1)
| ~ halts2(X1,X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
( program(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ halts2(X0,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f61,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| program(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,X0,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f63,plain,
! [X0] :
( sP1
| ~ program(X0)
| halts2(sK10(X0),sK10(X0))
| sP0(sK10(X0),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0] :
( sP1
| ~ program(X0)
| program(sK10(X0))
| sP0(sK10(X0),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0] :
( sP1
| ~ program(X0)
| ~ halts3(X0,sK10(X0),sK10(X0))
| ~ outputs(X0,good)
| sP0(sK10(X0),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
! [X1] :
( halts2(sK11,X1)
| ~ program(X1)
| halts2(X1,X1)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f68,plain,
! [X1] :
( ~ halts2(sK11,X1)
| ~ program(X1)
| ~ halts2(X1,X1)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
( program(sK11)
| ~ sP3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ halts2(X0,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f71,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| program(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f72,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ outputs(X1,bad)
| ~ halts2(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f74,plain,
! [X0] :
( sP3
| ~ program(X0)
| program(sK12(X0))
| sP2(sK12(X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f75,plain,
! [X0] :
( sP3
| ~ program(X0)
| ~ halts2(X0,sK12(X0))
| ~ outputs(X0,good)
| sP2(sK12(X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f76,plain,
! [X2,X1] :
( decides(sK13,X1,X2)
| ~ program(X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f77,plain,
algorithm(sK13),
inference(cnf_transformation,[],[f42]) ).
fof(f82,definition,
( spl14_2
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f86,definition,
( spl14_3
<=> ! [X0] :
( ~ program(X0)
| sP2(sK12(X0),X0)
| program(sK12(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f87,plain,
( ! [X0] :
( sP2(sK12(X0),X0)
| ~ program(X0)
| program(sK12(X0)) )
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( spl14_3
| spl14_2 ),
inference(avatar_split_clause,[],[f74,f82,f86]) ).
fof(f90,definition,
( spl14_4
<=> ! [X0] :
( ~ program(X0)
| sP2(sK12(X0),X0)
| ~ outputs(X0,good)
| ~ halts2(X0,sK12(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f91,plain,
( ! [X0] :
( sP2(sK12(X0),X0)
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(X0,sK12(X0)) )
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( spl14_4
| spl14_2 ),
inference(avatar_split_clause,[],[f75,f82,f90]) ).
fof(f95,definition,
( spl14_5
<=> ! [X1] :
( ~ program(X1)
| halts2(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f96,plain,
( ! [X1] :
( halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f102,definition,
( spl14_7
<=> ! [X1] :
( halts2(sK11,X1)
| halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f103,plain,
( ! [X1] :
( halts2(X1,X1)
| halts2(sK11,X1)
| ~ program(X1) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( ~ spl14_2
| spl14_7 ),
inference(avatar_split_clause,[],[f67,f102,f82]) ).
fof(f106,definition,
( spl14_8
<=> ! [X1] :
( ~ halts2(sK11,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
fof(f107,plain,
( ! [X1] :
( ~ halts2(sK11,X1)
| ~ halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( ~ spl14_2
| spl14_8 ),
inference(avatar_split_clause,[],[f68,f106,f82]) ).
fof(f110,definition,
( spl14_9
<=> program(sK11) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f112,plain,
( ~ spl14_2
| spl14_9 ),
inference(avatar_split_clause,[],[f69,f110,f82]) ).
fof(f114,definition,
( spl14_10
<=> ! [X0] :
( ~ program(X0)
| sP0(sK10(X0),X0)
| halts2(sK10(X0),sK10(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl14_10])],[avatar_definition]) ).
fof(f115,plain,
( ! [X0] :
( sP0(sK10(X0),X0)
| ~ program(X0)
| halts2(sK10(X0),sK10(X0)) )
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,definition,
( spl14_11
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl14_11])],[avatar_definition]) ).
fof(f119,plain,
( spl14_10
| spl14_11 ),
inference(avatar_split_clause,[],[f63,f117,f114]) ).
fof(f121,definition,
( spl14_12
<=> ! [X0] :
( ~ program(X0)
| sP0(sK10(X0),X0)
| program(sK10(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] :
( sP0(sK10(X0),X0)
| ~ program(X0)
| program(sK10(X0)) )
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( spl14_12
| spl14_11 ),
inference(avatar_split_clause,[],[f64,f117,f121]) ).
fof(f125,definition,
( spl14_13
<=> ! [X0] :
( ~ program(X0)
| sP0(sK10(X0),X0)
| ~ outputs(X0,good)
| ~ halts3(X0,sK10(X0),sK10(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl14_13])],[avatar_definition]) ).
fof(f126,plain,
( ! [X0] :
( sP0(sK10(X0),X0)
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts3(X0,sK10(X0),sK10(X0)) )
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( spl14_13
| spl14_11 ),
inference(avatar_split_clause,[],[f65,f117,f125]) ).
fof(f130,definition,
( spl14_14
<=> outputs(sK9,bad) ),
introduced(definition,[new_symbols(definition,[spl14_14])],[avatar_definition]) ).
fof(f132,plain,
( ~ spl14_11
| spl14_5
| spl14_14 ),
inference(avatar_split_clause,[],[f55,f130,f95,f117]) ).
fof(f134,definition,
( spl14_15
<=> ! [X1] :
( halts2(sK9,X1)
| halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_15])],[avatar_definition]) ).
fof(f135,plain,
( ! [X1] :
( halts2(X1,X1)
| halts2(sK9,X1)
| ~ program(X1) )
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( ~ spl14_11
| spl14_15 ),
inference(avatar_split_clause,[],[f56,f134,f117]) ).
fof(f138,definition,
( spl14_16
<=> ! [X1] :
( ~ program(X1)
| ~ halts2(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
fof(f139,plain,
( ! [X1] :
( ~ halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,definition,
( spl14_17
<=> outputs(sK9,good) ),
introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition]) ).
fof(f142,plain,
( outputs(sK9,good)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f143,plain,
( ~ spl14_11
| spl14_16
| spl14_17 ),
inference(avatar_split_clause,[],[f57,f141,f138,f117]) ).
fof(f145,definition,
( spl14_18
<=> ! [X1] :
( halts2(sK9,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition]) ).
fof(f146,plain,
( ! [X1] :
( halts2(sK9,X1)
| ~ halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( ~ spl14_11
| spl14_18 ),
inference(avatar_split_clause,[],[f58,f145,f117]) ).
fof(f149,definition,
( spl14_19
<=> program(sK9) ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
fof(f151,plain,
( ~ spl14_11
| spl14_19 ),
inference(avatar_split_clause,[],[f59,f149,f117]) ).
fof(f153,definition,
( spl14_20
<=> ! [X2,X1] :
( ~ program(X1)
| halts2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl14_20])],[avatar_definition]) ).
fof(f154,plain,
( ! [X2,X1] :
( halts2(X1,X2)
| ~ program(X1) )
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,definition,
( spl14_21
<=> ! [X0] :
( outputs(X0,bad)
| program(sK7(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition]) ).
fof(f157,plain,
( ! [X0] :
( outputs(X0,bad)
| program(sK7(X0))
| ~ program(X0) )
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( spl14_20
| spl14_21 ),
inference(avatar_split_clause,[],[f47,f156,f153]) ).
fof(f160,definition,
( spl14_22
<=> ! [X0] :
( outputs(X0,bad)
| ~ decides(X0,sK7(X0),sK8(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_22])],[avatar_definition]) ).
fof(f161,plain,
( ! [X0] :
( ~ decides(X0,sK7(X0),sK8(X0))
| outputs(X0,bad)
| ~ program(X0) )
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f162,plain,
( spl14_20
| spl14_22 ),
inference(avatar_split_clause,[],[f48,f160,f153]) ).
fof(f164,definition,
( spl14_23
<=> ! [X2,X1] :
( ~ program(X1)
| ~ halts2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl14_23])],[avatar_definition]) ).
fof(f165,plain,
( ! [X2,X1] :
( ~ halts2(X1,X2)
| ~ program(X1) )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f167,definition,
( spl14_24
<=> ! [X0] :
( outputs(X0,good)
| program(sK7(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_24])],[avatar_definition]) ).
fof(f168,plain,
( ! [X0] :
( outputs(X0,good)
| program(sK7(X0))
| ~ program(X0) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( spl14_23
| spl14_24 ),
inference(avatar_split_clause,[],[f51,f167,f164]) ).
fof(f171,definition,
( spl14_25
<=> ! [X0] :
( outputs(X0,good)
| ~ decides(X0,sK7(X0),sK8(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_25])],[avatar_definition]) ).
fof(f172,plain,
( ! [X0] :
( ~ decides(X0,sK7(X0),sK8(X0))
| outputs(X0,good)
| ~ program(X0) )
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f173,plain,
( spl14_23
| spl14_25 ),
inference(avatar_split_clause,[],[f52,f171,f164]) ).
fof(f175,definition,
( spl14_26
<=> ! [X3] :
( ~ algorithm(X3)
| program(sK5(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
fof(f176,plain,
( ! [X3] :
( ~ algorithm(X3)
| program(sK5(X3)) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,definition,
( spl14_27
<=> ! [X2,X1] :
( decides(sK4,X1,X2)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_27])],[avatar_definition]) ).
fof(f179,plain,
( ! [X2,X1] :
( decides(sK4,X1,X2)
| ~ program(X1) )
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f180,plain,
( spl14_26
| spl14_27 ),
inference(avatar_split_clause,[],[f43,f178,f175]) ).
fof(f182,definition,
( spl14_28
<=> ! [X3] :
( ~ algorithm(X3)
| ~ decides(X3,sK5(X3),sK6(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl14_28])],[avatar_definition]) ).
fof(f183,plain,
( ! [X3] :
( ~ algorithm(X3)
| ~ decides(X3,sK5(X3),sK6(X3)) )
| ~ spl14_28 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( spl14_28
| spl14_27 ),
inference(avatar_split_clause,[],[f44,f178,f182]) ).
fof(f186,definition,
( spl14_29
<=> program(sK4) ),
introduced(definition,[new_symbols(definition,[spl14_29])],[avatar_definition]) ).
fof(f187,plain,
( program(sK4)
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( spl14_26
| spl14_29 ),
inference(avatar_split_clause,[],[f45,f186,f175]) ).
fof(f189,plain,
( spl14_28
| spl14_29 ),
inference(avatar_split_clause,[],[f46,f186,f182]) ).
fof(f191,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(X0) )
| ~ spl14_20
| ~ spl14_23 ),
inference(resolution,[],[f165,f154]) ).
fof(f196,plain,
( program(sK5(sK13))
| ~ spl14_26 ),
inference(resolution,[],[f176,f77]) ).
fof(f206,definition,
( spl14_30
<=> ! [X0] : ~ program(X0) ),
introduced(definition,[new_symbols(definition,[spl14_30])],[avatar_definition]) ).
fof(f207,plain,
( ! [X0] : ~ program(X0)
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,plain,
( ~ halts2(sK11,sK11)
| ~ program(sK11)
| ~ spl14_8 ),
inference(factoring,[],[f107]) ).
fof(f213,definition,
( spl14_31
<=> halts2(sK11,sK11) ),
introduced(definition,[new_symbols(definition,[spl14_31])],[avatar_definition]) ).
fof(f214,plain,
( ~ halts2(sK11,sK11)
| spl14_31 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f215,plain,
( ~ spl14_9
| ~ spl14_31
| ~ spl14_8 ),
inference(avatar_split_clause,[],[f210,f106,f213,f110]) ).
fof(f216,plain,
( halts2(sK11,sK11)
| ~ program(sK11)
| ~ spl14_7
| spl14_31 ),
inference(resolution,[],[f214,f103]) ).
fof(f218,plain,
( ~ spl14_9
| spl14_31
| ~ spl14_7
| spl14_31 ),
inference(avatar_split_clause,[],[f216,f213,f102,f213,f110]) ).
fof(f219,plain,
( ~ decides(sK13,sK5(sK13),sK6(sK13))
| ~ spl14_28 ),
inference(resolution,[],[f183,f77]) ).
fof(f220,plain,
( ~ program(sK5(sK13))
| ~ spl14_28 ),
inference(resolution,[],[f219,f76]) ).
fof(f221,plain,
( $false
| ~ spl14_26
| ~ spl14_28 ),
inference(resolution,[],[f220,f196]) ).
fof(f222,plain,
( ~ spl14_26
| ~ spl14_28 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f224,plain,
( outputs(sK4,bad)
| ~ program(sK4)
| ~ program(sK7(sK4))
| ~ spl14_22
| ~ spl14_27 ),
inference(resolution,[],[f161,f179]) ).
fof(f226,definition,
( spl14_32
<=> program(sK7(sK4)) ),
introduced(definition,[new_symbols(definition,[spl14_32])],[avatar_definition]) ).
fof(f227,plain,
( ~ program(sK7(sK4))
| spl14_32 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl14_33
<=> outputs(sK4,bad) ),
introduced(definition,[new_symbols(definition,[spl14_33])],[avatar_definition]) ).
fof(f231,plain,
( outputs(sK4,bad)
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( ~ spl14_32
| ~ spl14_29
| spl14_33
| ~ spl14_22
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f224,f178,f160,f230,f186,f226]) ).
fof(f246,definition,
( spl14_37
<=> outputs(sK4,good) ),
introduced(definition,[new_symbols(definition,[spl14_37])],[avatar_definition]) ).
fof(f247,plain,
( outputs(sK4,good)
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,plain,
( ! [X0] :
( program(sK10(X0))
| ~ program(X0)
| program(sK10(X0)) )
| ~ spl14_12 ),
inference(resolution,[],[f61,f122]) ).
fof(f251,plain,
( ! [X0] :
( program(sK10(X0))
| ~ program(X0) )
| ~ spl14_12 ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f255,plain,
( ! [X0] :
( program(sK12(X0))
| ~ program(X0)
| program(sK12(X0)) )
| ~ spl14_3 ),
inference(resolution,[],[f71,f87]) ).
fof(f256,plain,
( ! [X0] :
( program(sK12(X0))
| ~ program(X0) )
| ~ spl14_3 ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f257,plain,
( ! [X0] :
( ~ halts3(X0,sK10(X0),sK10(X0))
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(sK10(X0),sK10(X0)) )
| ~ spl14_13 ),
inference(resolution,[],[f60,f126]) ).
fof(f260,plain,
( ! [X0] :
( ~ outputs(X0,good)
| ~ program(X0)
| ~ halts2(sK12(X0),sK12(X0))
| ~ halts2(X0,sK12(X0)) )
| ~ spl14_4 ),
inference(resolution,[],[f70,f91]) ).
fof(f265,plain,
( ! [X0] :
( ~ outputs(X0,bad)
| ~ halts2(X0,sK12(X0))
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(X0,sK12(X0)) )
| ~ spl14_4 ),
inference(resolution,[],[f72,f91]) ).
fof(f268,plain,
( ! [X0] :
( ~ outputs(X0,good)
| ~ halts2(X0,sK12(X0))
| ~ program(X0)
| ~ outputs(X0,bad) )
| ~ spl14_4 ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f272,plain,
( ! [X0] :
( ~ halts3(X0,sK10(X0),sK10(X0))
| ~ outputs(X0,bad)
| ~ program(X0)
| halts2(sK10(X0),sK10(X0)) )
| ~ spl14_10 ),
inference(resolution,[],[f62,f115]) ).
fof(f292,plain,
( ! [X0] :
( ~ program(sK10(X0))
| halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ outputs(X0,bad)
| ~ program(X0)
| halts2(sK10(X0),sK10(X0)) )
| ~ spl14_10 ),
inference(resolution,[],[f49,f272]) ).
fof(f297,plain,
( ! [X0] :
( ~ outputs(X0,bad)
| halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0)) )
| ~ spl14_10 ),
inference(duplicate_literal_removal,[],[f292]) ).
fof(f299,plain,
( ! [X0] :
( halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0))
| program(sK7(X0))
| ~ program(X0) )
| ~ spl14_10
| ~ spl14_21 ),
inference(resolution,[],[f297,f157]) ).
fof(f300,plain,
( ! [X0] :
( halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0)) )
| ~ spl14_10
| ~ spl14_21 ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f314,plain,
( ! [X0] :
( ~ program(sK10(X0))
| ~ halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(sK10(X0),sK10(X0)) )
| ~ spl14_13 ),
inference(resolution,[],[f53,f257]) ).
fof(f315,plain,
( ! [X0] :
( ~ outputs(X0,good)
| ~ halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0)) )
| ~ spl14_13 ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f318,plain,
( ! [X0] :
( ~ halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0))
| program(sK7(X0))
| ~ program(X0) )
| ~ spl14_13
| ~ spl14_24 ),
inference(resolution,[],[f315,f168]) ).
fof(f319,plain,
( ! [X0] :
( ~ halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0)) )
| ~ spl14_13
| ~ spl14_24 ),
inference(duplicate_literal_removal,[],[f318]) ).
fof(f320,plain,
( ! [X0] :
( ~ program(sK10(X0))
| halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| ~ decides(X0,sK7(X0),sK8(X0))
| ~ outputs(X0,bad)
| ~ program(X0)
| halts2(sK10(X0),sK10(X0)) )
| ~ spl14_10 ),
inference(resolution,[],[f50,f272]) ).
fof(f325,plain,
( ! [X0] :
( ~ decides(X0,sK7(X0),sK8(X0))
| halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| ~ program(sK10(X0))
| ~ outputs(X0,bad) )
| ~ spl14_10 ),
inference(duplicate_literal_removal,[],[f320]) ).
fof(f326,plain,
( ! [X0] :
( ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0))
| ~ program(X0)
| program(sK7(X0))
| ~ program(sK10(X0)) )
| ~ spl14_10
| ~ spl14_13
| ~ spl14_21
| ~ spl14_24 ),
inference(resolution,[],[f319,f300]) ).
fof(f327,plain,
( ! [X0] :
( ~ program(sK10(X0))
| program(sK7(X0))
| ~ program(X0) )
| ~ spl14_10
| ~ spl14_13
| ~ spl14_21
| ~ spl14_24 ),
inference(duplicate_literal_removal,[],[f326]) ).
fof(f329,plain,
( halts2(sK10(sK4),sK10(sK4))
| ~ program(sK4)
| ~ program(sK10(sK4))
| ~ outputs(sK4,bad)
| ~ program(sK7(sK4))
| ~ spl14_10
| ~ spl14_27 ),
inference(resolution,[],[f325,f179]) ).
fof(f330,plain,
( ! [X0] :
( program(sK7(X0))
| ~ program(X0)
| ~ program(X0) )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_21
| ~ spl14_24 ),
inference(resolution,[],[f327,f251]) ).
fof(f331,plain,
( ! [X0] :
( program(sK7(X0))
| ~ program(X0) )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_21
| ~ spl14_24 ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f332,plain,
( ~ program(sK4)
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_21
| ~ spl14_24
| spl14_32 ),
inference(resolution,[],[f331,f227]) ).
fof(f333,plain,
( ~ spl14_29
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_21
| ~ spl14_24
| spl14_32 ),
inference(avatar_split_clause,[],[f332,f226,f167,f156,f125,f121,f114,f186]) ).
fof(f334,plain,
( ~ outputs(sK4,bad)
| spl14_33 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f336,definition,
( spl14_43
<=> program(sK10(sK4)) ),
introduced(definition,[new_symbols(definition,[spl14_43])],[avatar_definition]) ).
fof(f337,plain,
( ~ program(sK10(sK4))
| spl14_43 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,definition,
( spl14_44
<=> halts2(sK10(sK4),sK10(sK4)) ),
introduced(definition,[new_symbols(definition,[spl14_44])],[avatar_definition]) ).
fof(f340,plain,
( halts2(sK10(sK4),sK10(sK4))
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f341,plain,
( ~ spl14_32
| ~ spl14_33
| ~ spl14_43
| ~ spl14_29
| spl14_44
| ~ spl14_10
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f329,f178,f114,f339,f186,f336,f230,f226]) ).
fof(f342,plain,
( halts2(sK10(sK4),sK10(sK4))
| ~ program(sK4)
| program(sK7(sK4))
| ~ program(sK10(sK4))
| ~ spl14_10
| ~ spl14_33 ),
inference(resolution,[],[f231,f297]) ).
fof(f346,definition,
( spl14_45
<=> halts2(sK12(sK4),sK12(sK4)) ),
introduced(definition,[new_symbols(definition,[spl14_45])],[avatar_definition]) ).
fof(f349,definition,
( spl14_46
<=> halts2(sK4,sK12(sK4)) ),
introduced(definition,[new_symbols(definition,[spl14_46])],[avatar_definition]) ).
fof(f350,plain,
( ~ halts2(sK4,sK12(sK4))
| spl14_46 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f355,plain,
( ~ halts2(sK12(sK4),sK12(sK4))
| spl14_45 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f358,plain,
( ~ program(sK4)
| ~ spl14_12
| spl14_43 ),
inference(resolution,[],[f337,f251]) ).
fof(f359,plain,
( ~ spl14_29
| ~ spl14_12
| spl14_43 ),
inference(avatar_split_clause,[],[f358,f336,f121,f186]) ).
fof(f361,plain,
( ~ spl14_43
| spl14_32
| ~ spl14_29
| spl14_44
| ~ spl14_10
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f342,f230,f114,f339,f186,f226,f336]) ).
fof(f368,definition,
( spl14_48
<=> halts2(sK9,sK12(sK9)) ),
introduced(definition,[new_symbols(definition,[spl14_48])],[avatar_definition]) ).
fof(f369,plain,
( ~ halts2(sK9,sK12(sK9))
| spl14_48 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f373,definition,
( spl14_49
<=> halts2(sK12(sK9),sK12(sK9)) ),
introduced(definition,[new_symbols(definition,[spl14_49])],[avatar_definition]) ).
fof(f377,plain,
( ~ halts2(sK9,sK12(sK9))
| ~ program(sK9)
| ~ outputs(sK9,bad)
| ~ spl14_4
| ~ spl14_17 ),
inference(resolution,[],[f142,f268]) ).
fof(f378,plain,
( ~ program(sK9)
| ~ halts2(sK12(sK9),sK12(sK9))
| ~ halts2(sK9,sK12(sK9))
| ~ spl14_4
| ~ spl14_17 ),
inference(resolution,[],[f142,f260]) ).
fof(f379,plain,
( ~ halts2(sK12(sK9),sK12(sK9))
| spl14_49 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f380,plain,
( ~ spl14_48
| ~ spl14_49
| ~ spl14_19
| ~ spl14_4
| ~ spl14_17 ),
inference(avatar_split_clause,[],[f378,f141,f90,f149,f373,f368]) ).
fof(f382,plain,
( ~ spl14_14
| ~ spl14_19
| ~ spl14_48
| ~ spl14_4
| ~ spl14_17 ),
inference(avatar_split_clause,[],[f377,f141,f90,f368,f149,f130]) ).
fof(f387,plain,
( ~ program(sK4)
| ~ spl14_20
| spl14_46 ),
inference(resolution,[],[f154,f350]) ).
fof(f393,plain,
( ~ spl14_29
| ~ spl14_20
| spl14_46 ),
inference(avatar_split_clause,[],[f387,f349,f153,f186]) ).
fof(f407,plain,
( ! [X0] :
( ~ program(sK10(X0))
| ~ halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| ~ decides(X0,sK7(X0),sK8(X0))
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(sK10(X0),sK10(X0)) )
| ~ spl14_13 ),
inference(resolution,[],[f54,f257]) ).
fof(f408,plain,
( ! [X0] :
( ~ decides(X0,sK7(X0),sK8(X0))
| ~ halts2(sK10(X0),sK10(X0))
| ~ program(X0)
| ~ program(sK10(X0))
| ~ outputs(X0,good) )
| ~ spl14_13 ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f410,plain,
( ~ halts2(sK12(sK9),sK12(sK9))
| ~ program(sK12(sK9))
| ~ spl14_18
| spl14_48 ),
inference(resolution,[],[f369,f146]) ).
fof(f412,definition,
( spl14_51
<=> program(sK12(sK9)) ),
introduced(definition,[new_symbols(definition,[spl14_51])],[avatar_definition]) ).
fof(f413,plain,
( ~ program(sK12(sK9))
| spl14_51 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( ~ spl14_51
| ~ spl14_49
| ~ spl14_18
| spl14_48 ),
inference(avatar_split_clause,[],[f410,f368,f145,f373,f412]) ).
fof(f419,plain,
( halts2(sK9,sK12(sK9))
| ~ program(sK12(sK9))
| ~ spl14_15
| spl14_49 ),
inference(resolution,[],[f379,f135]) ).
fof(f421,plain,
( ~ spl14_51
| spl14_48
| ~ spl14_15
| spl14_49 ),
inference(avatar_split_clause,[],[f419,f373,f134,f368,f412]) ).
fof(f424,plain,
( ~ program(sK9)
| ~ spl14_3
| spl14_51 ),
inference(resolution,[],[f413,f256]) ).
fof(f425,plain,
( ~ spl14_19
| ~ spl14_3
| spl14_51 ),
inference(avatar_split_clause,[],[f424,f412,f86,f149]) ).
fof(f431,plain,
( ~ program(sK12(sK9))
| ~ spl14_5
| spl14_49 ),
inference(resolution,[],[f96,f379]) ).
fof(f435,plain,
( ~ spl14_51
| ~ spl14_5
| spl14_49 ),
inference(avatar_split_clause,[],[f431,f373,f95,f412]) ).
fof(f452,plain,
( $false
| ~ spl14_29
| ~ spl14_30 ),
inference(resolution,[],[f207,f187]) ).
fof(f453,plain,
( $false
| ~ spl14_26
| ~ spl14_30 ),
inference(resolution,[],[f207,f196]) ).
fof(f458,plain,
( ~ spl14_26
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f459,plain,
( ~ spl14_29
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f494,definition,
( spl14_54
<=> program(sK12(sK4)) ),
introduced(definition,[new_symbols(definition,[spl14_54])],[avatar_definition]) ).
fof(f495,plain,
( ~ program(sK12(sK4))
| spl14_54 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f503,plain,
( ~ program(sK4)
| ~ spl14_3
| spl14_54 ),
inference(resolution,[],[f495,f256]) ).
fof(f504,plain,
( ~ spl14_29
| ~ spl14_3
| spl14_54 ),
inference(avatar_split_clause,[],[f503,f494,f86,f186]) ).
fof(f506,plain,
( ~ halts2(sK10(sK4),sK10(sK4))
| ~ program(sK4)
| ~ program(sK10(sK4))
| ~ outputs(sK4,good)
| ~ program(sK7(sK4))
| ~ spl14_13
| ~ spl14_27 ),
inference(resolution,[],[f408,f179]) ).
fof(f507,plain,
( ~ outputs(sK4,good)
| spl14_37 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f508,plain,
( ~ spl14_32
| ~ spl14_37
| ~ spl14_43
| ~ spl14_29
| ~ spl14_44
| ~ spl14_13
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f506,f178,f125,f339,f186,f336,f246,f226]) ).
fof(f512,plain,
( program(sK7(sK4))
| ~ program(sK4)
| ~ spl14_21
| spl14_33 ),
inference(resolution,[],[f334,f157]) ).
fof(f516,plain,
( ~ program(sK12(sK4))
| ~ spl14_20
| spl14_45 ),
inference(resolution,[],[f355,f154]) ).
fof(f517,plain,
( ~ spl14_54
| ~ spl14_20
| spl14_45 ),
inference(avatar_split_clause,[],[f516,f346,f153,f494]) ).
fof(f519,plain,
( ! [X0] : ~ program(X0)
| ~ spl14_20
| ~ spl14_23 ),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f521,plain,
( spl14_30
| ~ spl14_20
| ~ spl14_23 ),
inference(avatar_split_clause,[],[f519,f164,f153,f206]) ).
fof(f524,plain,
( outputs(sK4,good)
| ~ program(sK4)
| ~ program(sK7(sK4))
| ~ spl14_25
| ~ spl14_27 ),
inference(resolution,[],[f172,f179]) ).
fof(f525,plain,
( ~ spl14_32
| ~ spl14_29
| spl14_37
| ~ spl14_25
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f524,f178,f171,f246,f186,f226]) ).
fof(f526,plain,
( program(sK7(sK4))
| ~ program(sK4)
| ~ spl14_24
| spl14_37 ),
inference(resolution,[],[f507,f168]) ).
fof(f527,plain,
( ~ spl14_29
| spl14_32
| ~ spl14_24
| spl14_37 ),
inference(avatar_split_clause,[],[f526,f246,f167,f226,f186]) ).
fof(f528,plain,
( ~ spl14_29
| spl14_32
| ~ spl14_21
| spl14_33 ),
inference(avatar_split_clause,[],[f512,f230,f156,f226,f186]) ).
fof(f537,plain,
( ! [X0] :
( ~ program(X0)
| halts2(sK9,X0)
| ~ program(X0) )
| ~ spl14_15
| ~ spl14_16 ),
inference(resolution,[],[f139,f135]) ).
fof(f543,plain,
( ! [X0] :
( halts2(sK9,X0)
| ~ program(X0) )
| ~ spl14_15
| ~ spl14_16 ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f563,plain,
( ~ program(sK4)
| ~ halts2(sK12(sK4),sK12(sK4))
| ~ halts2(sK4,sK12(sK4))
| ~ spl14_4
| ~ spl14_37 ),
inference(resolution,[],[f247,f260]) ).
fof(f564,plain,
( ~ spl14_46
| ~ spl14_45
| ~ spl14_29
| ~ spl14_4
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f563,f246,f90,f186,f346,f349]) ).
fof(f568,plain,
( ~ program(sK9)
| ~ program(sK9)
| ~ spl14_15
| ~ spl14_16 ),
inference(resolution,[],[f543,f139]) ).
fof(f569,plain,
( ~ program(sK9)
| ~ spl14_15
| ~ spl14_16 ),
inference(duplicate_literal_removal,[],[f568]) ).
fof(f570,plain,
( ~ spl14_19
| ~ spl14_15
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f569,f138,f134,f149]) ).
fof(f605,plain,
( ~ program(sK10(sK4))
| ~ spl14_23
| ~ spl14_44 ),
inference(resolution,[],[f340,f165]) ).
fof(f606,plain,
( ~ spl14_43
| ~ spl14_23
| ~ spl14_44 ),
inference(avatar_split_clause,[],[f605,f339,f164,f336]) ).
cnf(s2,plain,
( spl14_2
| spl14_3 ),
inference(sat_conversion,[],[f88]) ).
cnf(s3,plain,
( spl14_2
| spl14_4 ),
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( ~ spl14_2
| spl14_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s6,plain,
( ~ spl14_2
| spl14_8 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( ~ spl14_2
| spl14_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s8,plain,
( spl14_10
| spl14_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
( spl14_11
| spl14_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s10,plain,
( spl14_11
| spl14_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s11,plain,
( spl14_5
| ~ spl14_11
| spl14_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s12,plain,
( ~ spl14_11
| spl14_15 ),
inference(sat_conversion,[],[f136]) ).
cnf(s13,plain,
( ~ spl14_11
| spl14_16
| spl14_17 ),
inference(sat_conversion,[],[f143]) ).
cnf(s14,plain,
( ~ spl14_11
| spl14_18 ),
inference(sat_conversion,[],[f147]) ).
cnf(s15,plain,
( ~ spl14_11
| spl14_19 ),
inference(sat_conversion,[],[f151]) ).
cnf(s16,plain,
( spl14_20
| spl14_21 ),
inference(sat_conversion,[],[f158]) ).
cnf(s17,plain,
( spl14_20
| spl14_22 ),
inference(sat_conversion,[],[f162]) ).
cnf(s18,plain,
( spl14_23
| spl14_24 ),
inference(sat_conversion,[],[f169]) ).
cnf(s19,plain,
( spl14_23
| spl14_25 ),
inference(sat_conversion,[],[f173]) ).
cnf(s20,plain,
( spl14_26
| spl14_27 ),
inference(sat_conversion,[],[f180]) ).
cnf(s21,plain,
( spl14_27
| spl14_28 ),
inference(sat_conversion,[],[f184]) ).
cnf(s22,plain,
( spl14_26
| spl14_29 ),
inference(sat_conversion,[],[f188]) ).
cnf(s23,plain,
( spl14_28
| spl14_29 ),
inference(sat_conversion,[],[f189]) ).
cnf(s28,plain,
( ~ spl14_8
| ~ spl14_9
| ~ spl14_31 ),
inference(sat_conversion,[],[f215]) ).
cnf(s29,plain,
( spl14_31
| ~ spl14_9
| ~ spl14_7
| spl14_31 ),
inference(sat_conversion,[],[f218]) ).
cnf(s30,plain,
( ~ spl14_7
| ~ spl14_9
| spl14_31 ),
inference(rat,[],[s29]) ).
cnf(s31,plain,
( ~ spl14_26
| ~ spl14_28 ),
inference(sat_conversion,[],[f222]) ).
cnf(s32,plain,
( ~ spl14_22
| ~ spl14_27
| ~ spl14_29
| ~ spl14_32
| spl14_33 ),
inference(sat_conversion,[],[f232]) ).
cnf(s39,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_21
| ~ spl14_24
| ~ spl14_29
| spl14_32 ),
inference(sat_conversion,[],[f333]) ).
cnf(s40,plain,
( ~ spl14_10
| ~ spl14_27
| ~ spl14_29
| ~ spl14_32
| ~ spl14_33
| ~ spl14_43
| spl14_44 ),
inference(sat_conversion,[],[f341]) ).
cnf(s44,plain,
( ~ spl14_12
| ~ spl14_29
| spl14_43 ),
inference(sat_conversion,[],[f359]) ).
cnf(s45,plain,
( ~ spl14_10
| ~ spl14_29
| spl14_32
| ~ spl14_33
| ~ spl14_43
| spl14_44 ),
inference(sat_conversion,[],[f361]) ).
cnf(s48,plain,
( ~ spl14_4
| ~ spl14_17
| ~ spl14_19
| ~ spl14_48
| ~ spl14_49 ),
inference(sat_conversion,[],[f380]) ).
cnf(s49,plain,
( ~ spl14_4
| ~ spl14_14
| ~ spl14_17
| ~ spl14_19
| ~ spl14_48 ),
inference(sat_conversion,[],[f382]) ).
cnf(s51,plain,
( ~ spl14_20
| ~ spl14_29
| spl14_46 ),
inference(sat_conversion,[],[f393]) ).
cnf(s55,plain,
( ~ spl14_18
| spl14_48
| ~ spl14_49
| ~ spl14_51 ),
inference(sat_conversion,[],[f414]) ).
cnf(s56,plain,
( ~ spl14_15
| spl14_48
| spl14_49
| ~ spl14_51 ),
inference(sat_conversion,[],[f421]) ).
cnf(s57,plain,
( ~ spl14_3
| ~ spl14_19
| spl14_51 ),
inference(sat_conversion,[],[f425]) ).
cnf(s58,plain,
( ~ spl14_5
| spl14_49
| ~ spl14_51 ),
inference(sat_conversion,[],[f435]) ).
cnf(s64,plain,
( ~ spl14_26
| ~ spl14_30 ),
inference(sat_conversion,[],[f458]) ).
cnf(s65,plain,
( ~ spl14_29
| ~ spl14_30 ),
inference(sat_conversion,[],[f459]) ).
cnf(s72,plain,
( ~ spl14_3
| ~ spl14_29
| spl14_54 ),
inference(sat_conversion,[],[f504]) ).
cnf(s73,plain,
( ~ spl14_13
| ~ spl14_27
| ~ spl14_29
| ~ spl14_32
| ~ spl14_37
| ~ spl14_43
| ~ spl14_44 ),
inference(sat_conversion,[],[f508]) ).
cnf(s77,plain,
( ~ spl14_20
| spl14_45
| ~ spl14_54 ),
inference(sat_conversion,[],[f517]) ).
cnf(s79,plain,
( ~ spl14_20
| ~ spl14_23
| spl14_30 ),
inference(sat_conversion,[],[f521]) ).
cnf(s83,plain,
( ~ spl14_25
| ~ spl14_27
| ~ spl14_29
| ~ spl14_32
| spl14_37 ),
inference(sat_conversion,[],[f525]) ).
cnf(s84,plain,
( ~ spl14_24
| ~ spl14_29
| spl14_32
| spl14_37 ),
inference(sat_conversion,[],[f527]) ).
cnf(s85,plain,
( ~ spl14_21
| ~ spl14_29
| spl14_32
| spl14_33 ),
inference(sat_conversion,[],[f528]) ).
cnf(s102,plain,
( ~ spl14_4
| ~ spl14_29
| ~ spl14_37
| ~ spl14_45
| ~ spl14_46 ),
inference(sat_conversion,[],[f564]) ).
cnf(s104,plain,
( ~ spl14_15
| ~ spl14_16
| ~ spl14_19 ),
inference(sat_conversion,[],[f570]) ).
cnf(s106,plain,
( ~ spl14_23
| ~ spl14_43
| ~ spl14_44 ),
inference(sat_conversion,[],[f606]) ).
cnf(s107,plain,
~ spl14_2,
inference(rat,[],[s30,s28,s5,s6,s7]) ).
cnf(s108,plain,
spl14_4,
inference(rat,[],[s3,s107]) ).
cnf(s109,plain,
spl14_3,
inference(rat,[],[s2,s107]) ).
cnf(s112,plain,
( ~ spl14_11
| spl14_5 ),
inference(rat,[],[s55,s56,s49,s13,s104,s57,s11,s12,s14,s15,s108,s109]) ).
cnf(s114,plain,
( spl14_26
| spl14_23
| spl14_20
| spl14_11 ),
inference(rat,[],[s73,s40,s83,s32,s39,s44,s20,s22,s10,s9,s8,s17,s16,s19,s18]) ).
cnf(s115,plain,
( spl14_23
| spl14_20
| spl14_11 ),
inference(rat,[],[s73,s40,s83,s32,s39,s44,s21,s23,s31,s114,s18,s19,s10,s9,s8,s17,s16]) ).
cnf(s118,plain,
( ~ spl14_32
| spl14_44
| ~ spl14_43
| ~ spl14_27
| ~ spl14_29
| ~ spl14_22
| ~ spl14_10 ),
inference(rat,[],[s40,s32]) ).
cnf(s119,plain,
( spl14_26
| spl14_20
| spl14_11 ),
inference(rat,[],[s85,s45,s118,s106,s44,s20,s22,s9,s8,s17,s16,s115]) ).
cnf(s120,plain,
( spl14_20
| spl14_11 ),
inference(rat,[],[s85,s45,s118,s106,s44,s21,s23,s31,s119,s115,s16,s17,s9,s8]) ).
cnf(s121,plain,
~ spl14_30,
inference(rat,[],[s22,s64,s65]) ).
cnf(s122,plain,
( spl14_26
| ~ spl14_20 ),
inference(rat,[],[s83,s84,s102,s77,s51,s72,s20,s22,s19,s18,s79,s108,s109,s121]) ).
cnf(s123,plain,
~ spl14_20,
inference(rat,[],[s83,s84,s102,s77,s51,s72,s21,s23,s31,s122,s18,s19,s79,s108,s109,s121]) ).
cnf(s126,plain,
spl14_11,
inference(rat,[],[s120,s123]) ).
cnf(s127,plain,
spl14_19,
inference(rat,[],[s15,s126]) ).
cnf(s128,plain,
spl14_18,
inference(rat,[],[s14,s126]) ).
cnf(s129,plain,
spl14_15,
inference(rat,[],[s12,s126]) ).
cnf(s130,plain,
spl14_5,
inference(rat,[],[s112,s126]) ).
cnf(s131,plain,
spl14_51,
inference(rat,[],[s57,s109,s127]) ).
cnf(s132,plain,
~ spl14_16,
inference(rat,[],[s104,s129,s127]) ).
cnf(s133,plain,
spl14_49,
inference(rat,[],[s58,s131,s130]) ).
cnf(s134,plain,
spl14_17,
inference(rat,[],[s13,s126,s132]) ).
cnf(s135,plain,
spl14_48,
inference(rat,[],[s55,s131,s128,s133]) ).
cnf(s136,plain,
$false,
inference(rat,[],[s48,s134,s127,s108,s133,s135]) ).
fof(f607,plain,
$false,
inference(avatar_sat_refutation,[],[s136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM003+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 21:44:55 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.12 % (3822309)Detected formulas, will run a generic FOF schedule.
% 3.10/1.12 % (3822318)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1677196805:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.10/1.12 % (3822318)Refutation not found, incomplete strategy
% 3.10/1.12 % (3822318)------------------------------
% 3.10/1.12 % (3822318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.12 % (3822318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.12 % (3822318)CaDiCaL version: 2.1.3
% 3.10/1.12 % (3822318)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.12 % (3822318)Time elapsed: 0.001 s
% 3.10/1.12 % (3822318)Peak memory usage: 88 MB
% 3.10/1.12 % (3822319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2787042986:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.10/1.12 % (3822316)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=406492309:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.10/1.12 % (3822315)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=4191689226:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.10/1.12 % (3822317)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1671009163:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.10/1.12 % (3822314)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=2386220766:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.10/1.12 % (3822320)dis-21_1_sil=8000:lcm=predicate:random_seed=358682318: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)
% 3.10/1.12 % (3822317)Refutation not found, incomplete strategy
% 3.10/1.12 % (3822317)------------------------------
% 3.10/1.12 % (3822317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.12 % (3822317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.12 % (3822317)CaDiCaL version: 2.1.3
% 3.10/1.12 % (3822317)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.12 % (3822317)Time elapsed: 0.001 s
% 3.10/1.12 % (3822317)Peak memory usage: 88 MB
% 3.10/1.12 % (3822320)First to succeed.
% 3.10/1.12 % (3822319)Also succeeded, but the first one will report.
% 3.10/1.12 % (3822320)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3822309"
% 3.10/1.12 % (3822318)------------------------------
% 3.10/1.12 % (3822318)------------------------------
% 3.10/1.12 % (3822328)lrs+10_1_sil=8000:sp=occurrence:random_seed=146755205:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.10/1.12 % (3822328)Also succeeded, but the first one will report.
% 3.10/1.12 % (3822317)------------------------------
% 3.10/1.12 % (3822317)------------------------------
% 3.10/1.12 % (3822320)Refutation found. Thanks to Tanya!
% 3.10/1.12 % SZS status Theorem for theBenchmark
% 3.10/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.31 % (3822320)------------------------------
% 3.99/1.31 % (3822320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.31 % (3822320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.31 % (3822320)CaDiCaL version: 2.1.3
% 3.99/1.31 % (3822320)Termination reason: Refutation
% 3.99/1.31 % (3822320)Time elapsed: 0.014 s
% 3.99/1.31 % (3822320)Peak memory usage: 89 MB
% 3.99/1.31 % (3822320)Instructions burned: 19 (million)
% 3.99/1.31 % (3822320)------------------------------
% 3.99/1.31 % (3822320)------------------------------
% 3.99/1.31 % (3822309)Success in time 0.472 s
% 3.99/1.31 % Vampire exiting
%------------------------------------------------------------------------------