TSTP Solution File: COM003+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM003+3 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:53:02 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 37
% Syntax : Number of formulae : 230 ( 2 unt; 0 def)
% Number of atoms : 1021 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1386 ( 595 ~; 610 |; 122 &)
% ( 23 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 24 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 272 ( 228 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f343,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f75,f82,f87,f91,f96,f97,f101,f125,f147,f167,f172,f192,f198,f203,f221,f223,f230,f234,f244,f254,f255,f257,f261,f272,f279,f285,f293,f302,f309,f320,f321,f332,f342]) ).
fof(f342,plain,
( spl11_24
| ~ spl11_1
| ~ spl11_7
| spl11_14
| ~ spl11_19
| ~ spl11_25 ),
inference(avatar_split_clause,[],[f341,f215,f161,f122,f84,f63,f212]) ).
fof(f212,plain,
( spl11_24
<=> ! [X0] : ~ program(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
fof(f63,plain,
( spl11_1
<=> ! [X2,X1] :
( ~ halts2(X1,X2)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f84,plain,
( spl11_7
<=> program(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f122,plain,
( spl11_14
<=> program(sK5(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f161,plain,
( spl11_19
<=> ! [X1] :
( ~ halts3(sK9,X1,X1)
| ~ program(X1)
| halts2(sK2(sK9),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f215,plain,
( spl11_25
<=> program(sK2(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
fof(f341,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_1
| ~ spl11_7
| spl11_14
| ~ spl11_19
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f339,f216]) ).
fof(f216,plain,
( program(sK2(sK9))
| ~ spl11_25 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f339,plain,
( ! [X0] :
( ~ program(sK2(sK9))
| ~ program(X0) )
| ~ spl11_1
| ~ spl11_7
| spl11_14
| ~ spl11_19 ),
inference(resolution,[],[f338,f64]) ).
fof(f64,plain,
( ! [X2,X1] :
( ~ halts2(X1,X2)
| ~ program(X1) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f338,plain,
( ! [X1] :
( halts2(sK2(sK9),X1)
| ~ program(X1) )
| ~ spl11_7
| spl11_14
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f337,f124]) ).
fof(f124,plain,
( ~ program(sK5(sK9))
| spl11_14 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f337,plain,
( ! [X1] :
( halts2(sK2(sK9),X1)
| ~ program(X1)
| program(sK5(sK9)) )
| ~ spl11_7
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f336,f86]) ).
fof(f86,plain,
( program(sK9)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f336,plain,
( ! [X1] :
( ~ program(sK9)
| ~ program(X1)
| halts2(sK2(sK9),X1)
| program(sK5(sK9)) )
| ~ spl11_19 ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f334,plain,
( ! [X1] :
( ~ program(X1)
| ~ program(sK9)
| halts2(sK2(sK9),X1)
| program(sK5(sK9))
| ~ program(X1) )
| ~ spl11_19 ),
inference(resolution,[],[f162,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| program(sK5(X0))
| ~ program(X1)
| ~ program(X0) ),
inference(subsumption_resolution,[],[f55,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| ~ program(X0)
| halts2(X1,X2)
| program(sK5(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1,X2] :
( ( ( halts3(X0,X1,X2)
& outputs(X0,good) )
| ~ halts2(X1,X2)
| ~ program(X1) )
& ( halts2(X1,X2)
| ~ program(X1)
| ( halts3(X0,X1,X2)
& outputs(X0,bad) ) ) )
| ~ program(X0)
| ( program(sK5(X0))
& ~ decides(X0,sK5(X0),sK6(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f28,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ? [X4] : ~ decides(X0,X3,X4) )
=> ( program(sK5(X0))
& ? [X4] : ~ decides(X0,sK5(X0),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X4] : ~ decides(X0,sK5(X0),X4)
=> ~ decides(X0,sK5(X0),sK6(X0)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ! [X1,X2] :
( ( ( halts3(X0,X1,X2)
& outputs(X0,good) )
| ~ halts2(X1,X2)
| ~ program(X1) )
& ( halts2(X1,X2)
| ~ program(X1)
| ( halts3(X0,X1,X2)
& outputs(X0,bad) ) ) )
| ~ program(X0)
| ? [X3] :
( program(X3)
& ? [X4] : ~ decides(X0,X3,X4) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X3,X4] :
( ( ( halts3(X0,X3,X4)
& outputs(X0,good) )
| ~ halts2(X3,X4)
| ~ program(X3) )
& ( halts2(X3,X4)
| ~ program(X3)
| ( halts3(X0,X3,X4)
& outputs(X0,bad) ) ) )
| ~ program(X0)
| ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X4,X3] :
( ( ( halts3(X0,X3,X4)
& outputs(X0,bad) )
| halts2(X3,X4)
| ~ program(X3) )
& ( ( halts3(X0,X3,X4)
& outputs(X0,good) )
| ~ program(X3)
| ~ halts2(X3,X4) ) )
| ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) )
| ~ program(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& program(X0) )
=> ! [X4,X3] :
( ( ( ~ halts2(X3,X4)
& program(X3) )
=> ( halts3(X0,X3,X4)
& outputs(X0,bad) ) )
& ( ( program(X3)
& halts2(X3,X4) )
=> ( halts3(X0,X3,X4)
& outputs(X0,good) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3] :
( ( ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) )
& program(X3) )
=> ! [X1,X2] :
( ( ( halts2(X1,X2)
& program(X1) )
=> ( halts3(X3,X1,X2)
& outputs(X3,good) ) )
& ( ( ~ halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,bad)
& halts3(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ program(X1)
| program(sK5(X0))
| ~ program(X0)
| halts3(X0,X1,X2)
| ~ halts2(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f162,plain,
( ! [X1] :
( ~ halts3(sK9,X1,X1)
| ~ program(X1)
| halts2(sK2(sK9),X1) )
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f332,plain,
( spl11_24
| ~ spl11_1
| ~ spl11_19
| ~ spl11_20
| ~ spl11_25 ),
inference(avatar_split_clause,[],[f331,f215,f175,f161,f63,f212]) ).
fof(f175,plain,
( spl11_20
<=> ! [X2,X3] :
( halts3(sK9,X2,X3)
| ~ program(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f331,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_1
| ~ spl11_19
| ~ spl11_20
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f329,f216]) ).
fof(f329,plain,
( ! [X0] :
( ~ program(sK2(sK9))
| ~ program(X0) )
| ~ spl11_1
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f325,f64]) ).
fof(f325,plain,
( ! [X1] :
( halts2(sK2(sK9),X1)
| ~ program(X1) )
| ~ spl11_19
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f162,f176]) ).
fof(f176,plain,
( ! [X2,X3] :
( halts3(sK9,X2,X3)
| ~ program(X2) )
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f321,plain,
( spl11_22
| ~ spl11_1
| ~ spl11_7
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f316,f282,f84,f63,f185]) ).
fof(f185,plain,
( spl11_22
<=> sP1(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
fof(f282,plain,
( spl11_26
<=> halts2(sK4(sK9),sK3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
fof(f316,plain,
( sP1(sK9)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_26 ),
inference(subsumption_resolution,[],[f315,f86]) ).
fof(f315,plain,
( ~ program(sK9)
| sP1(sK9)
| ~ spl11_1
| ~ spl11_26 ),
inference(resolution,[],[f313,f102]) ).
fof(f102,plain,
! [X0] :
( program(sK4(X0))
| sP1(X0)
| ~ program(X0) ),
inference(subsumption_resolution,[],[f46,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| program(X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ( ~ halts3(X2,X1,X0)
| ~ outputs(X2,bad) )
& program(X1)
& ~ halts2(X1,X0) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( ( ( ~ halts3(X0,X2,X1)
| ~ outputs(X0,bad) )
& program(X2)
& ~ halts2(X2,X1) )
| ~ sP0(X1,X2,X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X2,X0] :
( ( ( ~ halts3(X0,X2,X1)
| ~ outputs(X0,bad) )
& program(X2)
& ~ halts2(X2,X1) )
| ~ sP0(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f46,plain,
! [X0] :
( ~ program(X0)
| sP1(X0)
| sP0(sK3(X0),sK4(X0),X0)
| program(sK4(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ~ program(X0)
| sP1(X0)
| ( halts2(sK4(X0),sK3(X0))
& program(sK4(X0))
& ( ~ outputs(X0,good)
| ~ halts3(X0,sK4(X0),sK3(X0)) ) )
| sP0(sK3(X0),sK4(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f19,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1,X2] :
( ( halts2(X2,X1)
& program(X2)
& ( ~ outputs(X0,good)
| ~ halts3(X0,X2,X1) ) )
| sP0(X1,X2,X0) )
=> ( ( halts2(sK4(X0),sK3(X0))
& program(sK4(X0))
& ( ~ outputs(X0,good)
| ~ halts3(X0,sK4(X0),sK3(X0)) ) )
| sP0(sK3(X0),sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ~ program(X0)
| sP1(X0)
| ? [X1,X2] :
( ( halts2(X2,X1)
& program(X2)
& ( ~ outputs(X0,good)
| ~ halts3(X0,X2,X1) ) )
| sP0(X1,X2,X0) ) ),
inference(definition_folding,[],[f13,f18,f17]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad)
| ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ program(X4) )
& ( ~ program(X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4)
| ~ halts2(X3,X4) ) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X0] :
( ~ program(X0)
| ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad)
| ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ program(X4) )
& ( ~ program(X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4)
| ~ halts2(X3,X4) ) ) )
| ? [X1,X2] :
( ( halts2(X2,X1)
& program(X2)
& ( ~ outputs(X0,good)
| ~ halts3(X0,X2,X1) ) )
| ( ( ~ halts3(X0,X2,X1)
| ~ outputs(X0,bad) )
& program(X2)
& ~ halts2(X2,X1) ) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts2(X3,X4)
| ~ program(X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4) )
& ( ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ program(X4)
| ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad) ) ) )
| ~ program(X0)
| ? [X2,X1] :
( ( ( ~ halts3(X0,X2,X1)
| ~ outputs(X0,bad) )
& program(X2)
& ~ halts2(X2,X1) )
| ( ( ~ outputs(X0,good)
| ~ halts3(X0,X2,X1) )
& program(X2)
& halts2(X2,X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ( program(X0)
& ! [X2,X1] :
( ( ( program(X2)
& ~ halts2(X2,X1) )
=> ( outputs(X0,bad)
& halts3(X0,X2,X1) ) )
& ( ( program(X2)
& halts2(X2,X1) )
=> ( halts3(X0,X2,X1)
& outputs(X0,good) ) ) ) )
=> ? [X3] :
( program(X3)
& ! [X4] :
( ( ( program(X4)
& outputs(X0,good)
& halts3(X0,X4,X4) )
=> ~ halts2(X3,X4) )
& ( ( program(X4)
& halts3(X0,X4,X4)
& outputs(X0,bad) )
=> ( outputs(X3,bad)
& halts2(X3,X4) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3] :
( ( ! [X2,X1] :
( ( ( ~ halts2(X1,X2)
& program(X1) )
=> ( halts3(X3,X1,X2)
& outputs(X3,bad) ) )
& ( ( program(X1)
& halts2(X1,X2) )
=> ( outputs(X3,good)
& halts3(X3,X1,X2) ) ) )
& program(X3) )
=> ? [X4] :
( program(X4)
& ! [X1] :
( ( ( halts3(X3,X1,X1)
& program(X1)
& outputs(X3,good) )
=> ~ halts2(X4,X1) )
& ( ( halts3(X3,X1,X1)
& program(X1)
& outputs(X3,bad) )
=> ( halts2(X4,X1)
& outputs(X4,bad) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f313,plain,
( ~ program(sK4(sK9))
| ~ spl11_1
| ~ spl11_26 ),
inference(resolution,[],[f284,f64]) ).
fof(f284,plain,
( halts2(sK4(sK9),sK3(sK9))
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f320,plain,
( spl11_24
| ~ spl11_17
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f319,f175,f153,f212]) ).
fof(f153,plain,
( spl11_17
<=> ! [X0] :
( ~ program(X0)
| ~ halts3(sK9,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f319,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_17
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f154,f176]) ).
fof(f154,plain,
( ! [X0] :
( ~ halts3(sK9,X0,X0)
| ~ program(X0) )
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f309,plain,
( spl11_20
| ~ spl11_14
| ~ spl11_3
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f308,f84,f70,f122,f175]) ).
fof(f70,plain,
( spl11_3
<=> ! [X4,X5] :
( ~ program(X4)
| decides(sK9,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f308,plain,
( ! [X0,X1] :
( ~ program(sK5(sK9))
| halts3(sK9,X0,X1)
| ~ program(X0) )
| ~ spl11_3
| ~ spl11_7 ),
inference(subsumption_resolution,[],[f246,f86]) ).
fof(f246,plain,
( ! [X0,X1] :
( ~ program(sK5(sK9))
| halts3(sK9,X0,X1)
| ~ program(X0)
| ~ program(sK9) )
| ~ spl11_3 ),
inference(resolution,[],[f71,f103]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ decides(X0,sK5(X0),sK6(X0))
| halts3(X0,X1,X2)
| ~ program(X1)
| ~ program(X0) ),
inference(subsumption_resolution,[],[f50,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ halts2(X1,X2)
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ program(X1)
| ~ program(X0)
| halts3(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ program(X1)
| ~ decides(X0,sK5(X0),sK6(X0))
| halts2(X1,X2)
| halts3(X0,X1,X2)
| ~ program(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f71,plain,
( ! [X4,X5] :
( decides(sK9,X4,X5)
| ~ program(X4) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f302,plain,
( ~ spl11_16
| ~ spl11_21
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| ~ spl11_16
| ~ spl11_21
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f299,f190]) ).
fof(f190,plain,
( halts3(sK9,sK4(sK9),sK3(sK9))
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl11_23
<=> halts3(sK9,sK4(sK9),sK3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f299,plain,
( ~ halts3(sK9,sK4(sK9),sK3(sK9))
| ~ spl11_16
| ~ spl11_21 ),
inference(resolution,[],[f294,f183]) ).
fof(f183,plain,
( sP0(sK3(sK9),sK4(sK9),sK9)
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl11_21
<=> sP0(sK3(sK9),sK4(sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f294,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1,sK9)
| ~ halts3(sK9,X1,X0) )
| ~ spl11_16 ),
inference(resolution,[],[f150,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ outputs(X2,bad)
| ~ sP0(X0,X1,X2)
| ~ halts3(X2,X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f150,plain,
( outputs(sK9,bad)
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl11_16
<=> outputs(sK9,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f293,plain,
( ~ spl11_7
| spl11_14
| spl11_22
| spl11_23 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl11_7
| spl11_14
| spl11_22
| spl11_23 ),
inference(subsumption_resolution,[],[f291,f86]) ).
fof(f291,plain,
( ~ program(sK9)
| ~ spl11_7
| spl11_14
| spl11_22
| spl11_23 ),
inference(subsumption_resolution,[],[f290,f186]) ).
fof(f186,plain,
( ~ sP1(sK9)
| spl11_22 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f290,plain,
( sP1(sK9)
| ~ program(sK9)
| ~ spl11_7
| spl11_14
| spl11_23 ),
inference(resolution,[],[f289,f102]) ).
fof(f289,plain,
( ~ program(sK4(sK9))
| ~ spl11_7
| spl11_14
| spl11_23 ),
inference(subsumption_resolution,[],[f288,f86]) ).
fof(f288,plain,
( ~ program(sK4(sK9))
| ~ program(sK9)
| spl11_14
| spl11_23 ),
inference(subsumption_resolution,[],[f287,f124]) ).
fof(f287,plain,
( program(sK5(sK9))
| ~ program(sK9)
| ~ program(sK4(sK9))
| spl11_23 ),
inference(resolution,[],[f191,f92]) ).
fof(f191,plain,
( ~ halts3(sK9,sK4(sK9),sK3(sK9))
| spl11_23 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f285,plain,
( spl11_26
| spl11_22
| ~ spl11_7
| spl11_21 ),
inference(avatar_split_clause,[],[f280,f181,f84,f185,f282]) ).
fof(f280,plain,
( sP1(sK9)
| halts2(sK4(sK9),sK3(sK9))
| ~ spl11_7
| spl11_21 ),
inference(subsumption_resolution,[],[f209,f86]) ).
fof(f209,plain,
( ~ program(sK9)
| halts2(sK4(sK9),sK3(sK9))
| sP1(sK9)
| spl11_21 ),
inference(resolution,[],[f182,f47]) ).
fof(f47,plain,
! [X0] :
( sP0(sK3(X0),sK4(X0),X0)
| sP1(X0)
| halts2(sK4(X0),sK3(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f182,plain,
( ~ sP0(sK3(sK9),sK4(sK9),sK9)
| spl11_21 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f279,plain,
( spl11_17
| ~ spl11_5
| ~ spl11_15
| ~ spl11_25 ),
inference(avatar_split_clause,[],[f278,f215,f145,f77,f153]) ).
fof(f77,plain,
( spl11_5
<=> ! [X2,X1] :
( halts2(X1,X2)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f145,plain,
( spl11_15
<=> ! [X2] :
( ~ halts2(sK2(sK9),X2)
| ~ program(X2)
| ~ halts3(sK9,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f278,plain,
( ! [X0] :
( ~ program(X0)
| ~ halts3(sK9,X0,X0) )
| ~ spl11_5
| ~ spl11_15
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f277,f216]) ).
fof(f277,plain,
( ! [X0] :
( ~ halts3(sK9,X0,X0)
| ~ program(sK2(sK9))
| ~ program(X0) )
| ~ spl11_5
| ~ spl11_15 ),
inference(resolution,[],[f146,f78]) ).
fof(f78,plain,
( ! [X2,X1] :
( halts2(X1,X2)
| ~ program(X1) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f146,plain,
( ! [X2] :
( ~ halts2(sK2(sK9),X2)
| ~ halts3(sK9,X2,X2)
| ~ program(X2) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f272,plain,
( spl11_24
| ~ spl11_7
| spl11_14
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f271,f153,f122,f84,f212]) ).
fof(f271,plain,
( ! [X1] : ~ program(X1)
| ~ spl11_7
| spl11_14
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f270,f124]) ).
fof(f270,plain,
( ! [X1] :
( program(sK5(sK9))
| ~ program(X1) )
| ~ spl11_7
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f269,f86]) ).
fof(f269,plain,
( ! [X1] :
( ~ program(X1)
| ~ program(sK9)
| program(sK5(sK9)) )
| ~ spl11_17 ),
inference(duplicate_literal_removal,[],[f267]) ).
fof(f267,plain,
( ! [X1] :
( ~ program(sK9)
| program(sK5(sK9))
| ~ program(X1)
| ~ program(X1) )
| ~ spl11_17 ),
inference(resolution,[],[f154,f92]) ).
fof(f261,plain,
( spl11_17
| ~ spl11_15
| ~ spl11_19 ),
inference(avatar_split_clause,[],[f260,f161,f145,f153]) ).
fof(f260,plain,
( ! [X1] :
( ~ halts3(sK9,X1,X1)
| ~ program(X1) )
| ~ spl11_15
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f162,f146]) ).
fof(f257,plain,
( spl11_19
| ~ spl11_16
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f256,f185,f149,f161]) ).
fof(f256,plain,
( ! [X1] :
( ~ halts3(sK9,X1,X1)
| ~ program(X1)
| halts2(sK2(sK9),X1) )
| ~ spl11_16
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f205,f150]) ).
fof(f205,plain,
( ! [X1] :
( ~ program(X1)
| halts2(sK2(sK9),X1)
| ~ outputs(sK9,bad)
| ~ halts3(sK9,X1,X1) )
| ~ spl11_22 ),
inference(resolution,[],[f187,f39]) ).
fof(f39,plain,
! [X2,X0] :
( ~ sP1(X0)
| halts2(sK2(X0),X2)
| ~ outputs(X0,bad)
| ~ program(X2)
| ~ halts3(X0,X2,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( program(sK2(X0))
& ! [X2] :
( ( ~ halts3(X0,X2,X2)
| ~ outputs(X0,bad)
| ( outputs(sK2(X0),bad)
& halts2(sK2(X0),X2) )
| ~ program(X2) )
& ( ~ program(X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ halts2(sK2(X0),X2) ) ) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f22]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( program(X1)
& ! [X2] :
( ( ~ halts3(X0,X2,X2)
| ~ outputs(X0,bad)
| ( outputs(X1,bad)
& halts2(X1,X2) )
| ~ program(X2) )
& ( ~ program(X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ halts2(X1,X2) ) ) )
=> ( program(sK2(X0))
& ! [X2] :
( ( ~ halts3(X0,X2,X2)
| ~ outputs(X0,bad)
| ( outputs(sK2(X0),bad)
& halts2(sK2(X0),X2) )
| ~ program(X2) )
& ( ~ program(X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ halts2(sK2(X0),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( program(X1)
& ! [X2] :
( ( ~ halts3(X0,X2,X2)
| ~ outputs(X0,bad)
| ( outputs(X1,bad)
& halts2(X1,X2) )
| ~ program(X2) )
& ( ~ program(X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ halts2(X1,X2) ) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ! [X4] :
( ( ~ halts3(X0,X4,X4)
| ~ outputs(X0,bad)
| ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ program(X4) )
& ( ~ program(X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4)
| ~ halts2(X3,X4) ) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f18]) ).
fof(f187,plain,
( sP1(sK9)
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f255,plain,
( spl11_15
| ~ spl11_13
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f207,f185,f118,f145]) ).
fof(f118,plain,
( spl11_13
<=> outputs(sK9,good) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f207,plain,
( ! [X2] :
( ~ halts3(sK9,X2,X2)
| ~ halts2(sK2(sK9),X2)
| ~ program(X2) )
| ~ spl11_13
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f206,f120]) ).
fof(f120,plain,
( outputs(sK9,good)
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f206,plain,
( ! [X2] :
( ~ outputs(sK9,good)
| ~ halts3(sK9,X2,X2)
| ~ program(X2)
| ~ halts2(sK2(sK9),X2) )
| ~ spl11_22 ),
inference(resolution,[],[f187,f38]) ).
fof(f38,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ halts3(X0,X2,X2)
| ~ program(X2)
| ~ outputs(X0,good)
| ~ halts2(sK2(X0),X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f254,plain,
( ~ spl11_6
| ~ spl11_7
| spl11_14
| spl11_16 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| ~ spl11_6
| ~ spl11_7
| spl11_14
| spl11_16 ),
inference(subsumption_resolution,[],[f252,f86]) ).
fof(f252,plain,
( ~ program(sK9)
| ~ spl11_6
| spl11_14
| spl11_16 ),
inference(subsumption_resolution,[],[f251,f124]) ).
fof(f251,plain,
( program(sK5(sK9))
| ~ program(sK9)
| ~ spl11_6
| spl11_16 ),
inference(resolution,[],[f81,f151]) ).
fof(f151,plain,
( ~ outputs(sK9,bad)
| spl11_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f81,plain,
( ! [X0] :
( outputs(X0,bad)
| program(sK5(X0))
| ~ program(X0) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl11_6
<=> ! [X0] :
( ~ program(X0)
| outputs(X0,bad)
| program(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f244,plain,
( ~ spl11_4
| ~ spl11_9 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl11_4
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f242,f61]) ).
fof(f61,plain,
algorithm(sK10),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( algorithm(sK10)
& ! [X1] :
( ~ program(X1)
| ! [X2] : decides(sK10,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f11,f36]) ).
fof(f36,plain,
( ? [X0] :
( algorithm(X0)
& ! [X1] :
( ~ program(X1)
| ! [X2] : decides(X0,X1,X2) ) )
=> ( algorithm(sK10)
& ! [X1] :
( ~ program(X1)
| ! [X2] : decides(sK10,X1,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( algorithm(X0)
& ! [X1] :
( ~ program(X1)
| ! [X2] : decides(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
~ ~ ? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ~ ? [X5] :
( ! [X6] :
( program(X6)
=> ! [X7] : decides(X5,X6,X7) )
& algorithm(X5) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
~ ? [X5] :
( ! [X6] :
( program(X6)
=> ! [X7] : decides(X5,X6,X7) )
& algorithm(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f242,plain,
( ~ algorithm(sK10)
| ~ spl11_4
| ~ spl11_9 ),
inference(resolution,[],[f241,f95]) ).
fof(f95,plain,
( ! [X0] :
( program(sK7(X0))
| ~ algorithm(X0) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl11_9
<=> ! [X0] :
( ~ algorithm(X0)
| program(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f241,plain,
( ~ program(sK7(sK10))
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f240,f61]) ).
fof(f240,plain,
( ~ program(sK7(sK10))
| ~ algorithm(sK10)
| ~ spl11_4 ),
inference(resolution,[],[f74,f60]) ).
fof(f60,plain,
! [X2,X1] :
( decides(sK10,X1,X2)
| ~ program(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f74,plain,
( ! [X0] :
( ~ decides(X0,sK7(X0),sK8(X0))
| ~ algorithm(X0) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl11_4
<=> ! [X0] :
( ~ decides(X0,sK7(X0),sK8(X0))
| ~ algorithm(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f234,plain,
( spl11_24
| ~ spl11_13
| ~ spl11_16
| ~ spl11_20
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f233,f185,f175,f149,f118,f212]) ).
fof(f233,plain,
( ! [X1] : ~ program(X1)
| ~ spl11_13
| ~ spl11_16
| ~ spl11_20
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f232,f208]) ).
fof(f208,plain,
( ! [X2] :
( ~ halts2(sK2(sK9),X2)
| ~ program(X2) )
| ~ spl11_13
| ~ spl11_20
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f207,f176]) ).
fof(f232,plain,
( ! [X1] :
( halts2(sK2(sK9),X1)
| ~ program(X1) )
| ~ spl11_16
| ~ spl11_20
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f231,f176]) ).
fof(f231,plain,
( ! [X1] :
( ~ halts3(sK9,X1,X1)
| halts2(sK2(sK9),X1)
| ~ program(X1) )
| ~ spl11_16
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f205,f150]) ).
fof(f230,plain,
( spl11_16
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f227,f122,f89,f84,f70,f149]) ).
fof(f89,plain,
( spl11_8
<=> ! [X0] :
( outputs(X0,bad)
| ~ program(X0)
| ~ decides(X0,sK5(X0),sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f227,plain,
( outputs(sK9,bad)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f226,f86]) ).
fof(f226,plain,
( ~ program(sK9)
| outputs(sK9,bad)
| ~ spl11_3
| ~ spl11_8
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f225,f123]) ).
fof(f123,plain,
( program(sK5(sK9))
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f225,plain,
( ~ program(sK5(sK9))
| ~ program(sK9)
| outputs(sK9,bad)
| ~ spl11_3
| ~ spl11_8 ),
inference(resolution,[],[f90,f71]) ).
fof(f90,plain,
( ! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ program(X0)
| outputs(X0,bad) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f223,plain,
( ~ spl11_24
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| ~ spl11_24
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f216,f213]) ).
fof(f213,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f221,plain,
( ~ spl11_22
| spl11_25 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| ~ spl11_22
| spl11_25 ),
inference(subsumption_resolution,[],[f219,f187]) ).
fof(f219,plain,
( ~ sP1(sK9)
| spl11_25 ),
inference(resolution,[],[f217,f41]) ).
fof(f41,plain,
! [X0] :
( program(sK2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f217,plain,
( ~ program(sK2(sK9))
| spl11_25 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f203,plain,
( ~ spl11_5
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| ~ spl11_5
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f201,f200]) ).
fof(f200,plain,
( program(sK4(sK9))
| ~ spl11_21 ),
inference(resolution,[],[f183,f43]) ).
fof(f201,plain,
( ~ program(sK4(sK9))
| ~ spl11_5
| ~ spl11_21 ),
inference(resolution,[],[f199,f78]) ).
fof(f199,plain,
( ~ halts2(sK4(sK9),sK3(sK9))
| ~ spl11_21 ),
inference(resolution,[],[f183,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ~ halts2(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f198,plain,
( spl11_22
| ~ spl11_7
| ~ spl11_20
| spl11_23 ),
inference(avatar_split_clause,[],[f197,f189,f175,f84,f185]) ).
fof(f197,plain,
( sP1(sK9)
| ~ spl11_7
| ~ spl11_20
| spl11_23 ),
inference(subsumption_resolution,[],[f196,f86]) ).
fof(f196,plain,
( sP1(sK9)
| ~ program(sK9)
| ~ spl11_20
| spl11_23 ),
inference(resolution,[],[f193,f102]) ).
fof(f193,plain,
( ~ program(sK4(sK9))
| ~ spl11_20
| spl11_23 ),
inference(resolution,[],[f191,f176]) ).
fof(f192,plain,
( spl11_21
| spl11_22
| ~ spl11_23
| ~ spl11_7
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f179,f118,f84,f189,f185,f181]) ).
fof(f179,plain,
( ~ halts3(sK9,sK4(sK9),sK3(sK9))
| sP1(sK9)
| sP0(sK3(sK9),sK4(sK9),sK9)
| ~ spl11_7
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f178,f86]) ).
fof(f178,plain,
( sP0(sK3(sK9),sK4(sK9),sK9)
| ~ halts3(sK9,sK4(sK9),sK3(sK9))
| ~ program(sK9)
| sP1(sK9)
| ~ spl11_13 ),
inference(resolution,[],[f120,f45]) ).
fof(f45,plain,
! [X0] :
( ~ outputs(X0,good)
| sP0(sK3(X0),sK4(X0),X0)
| ~ halts3(X0,sK4(X0),sK3(X0))
| ~ program(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f172,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_7 ),
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7 ),
inference(resolution,[],[f168,f86]) ).
fof(f168,plain,
( ! [X1] : ~ program(X1)
| ~ spl11_1
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f64,f78]) ).
fof(f167,plain,
( ~ spl11_2
| ~ spl11_7
| spl11_13
| spl11_14 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| ~ spl11_2
| ~ spl11_7
| spl11_13
| spl11_14 ),
inference(subsumption_resolution,[],[f165,f124]) ).
fof(f165,plain,
( program(sK5(sK9))
| ~ spl11_2
| ~ spl11_7
| spl11_13 ),
inference(subsumption_resolution,[],[f164,f86]) ).
fof(f164,plain,
( ~ program(sK9)
| program(sK5(sK9))
| ~ spl11_2
| spl11_13 ),
inference(resolution,[],[f119,f67]) ).
fof(f67,plain,
( ! [X0] :
( outputs(X0,good)
| program(sK5(X0))
| ~ program(X0) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl11_2
<=> ! [X0] :
( program(sK5(X0))
| outputs(X0,good)
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f119,plain,
( ~ outputs(sK9,good)
| spl11_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f147,plain,
( ~ spl11_13
| spl11_15
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_14 ),
inference(avatar_split_clause,[],[f143,f122,f84,f77,f66,f145,f118]) ).
fof(f143,plain,
( ! [X2] :
( ~ halts2(sK2(sK9),X2)
| ~ halts3(sK9,X2,X2)
| ~ program(X2)
| ~ outputs(sK9,good) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_14 ),
inference(resolution,[],[f140,f38]) ).
fof(f140,plain,
( sP1(sK9)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_14 ),
inference(subsumption_resolution,[],[f139,f86]) ).
fof(f139,plain,
( sP1(sK9)
| ~ program(sK9)
| ~ spl11_2
| ~ spl11_5
| spl11_14 ),
inference(resolution,[],[f138,f124]) ).
fof(f138,plain,
( ! [X0] :
( program(sK5(X0))
| ~ program(X0)
| sP1(X0) )
| ~ spl11_2
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f137,f102]) ).
fof(f137,plain,
( ! [X0] :
( sP1(X0)
| ~ program(X0)
| program(sK5(X0))
| ~ program(sK4(X0)) )
| ~ spl11_2
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f136,f92]) ).
fof(f136,plain,
( ! [X0] :
( ~ program(X0)
| program(sK5(X0))
| ~ halts3(X0,sK4(X0),sK3(X0))
| sP1(X0)
| ~ program(sK4(X0)) )
| ~ spl11_2
| ~ spl11_5 ),
inference(resolution,[],[f134,f78]) ).
fof(f134,plain,
( ! [X0] :
( ~ halts2(sK4(X0),sK3(X0))
| ~ program(X0)
| sP1(X0)
| program(sK5(X0))
| ~ halts3(X0,sK4(X0),sK3(X0)) )
| ~ spl11_2 ),
inference(resolution,[],[f133,f42]) ).
fof(f133,plain,
( ! [X0] :
( sP0(sK3(X0),sK4(X0),X0)
| program(sK5(X0))
| ~ halts3(X0,sK4(X0),sK3(X0))
| sP1(X0)
| ~ program(X0) )
| ~ spl11_2 ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
( ! [X0] :
( ~ program(X0)
| sP1(X0)
| program(sK5(X0))
| sP0(sK3(X0),sK4(X0),X0)
| ~ halts3(X0,sK4(X0),sK3(X0))
| ~ program(X0) )
| ~ spl11_2 ),
inference(resolution,[],[f45,f67]) ).
fof(f125,plain,
( spl11_13
| ~ spl11_14
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f116,f99,f84,f70,f122,f118]) ).
fof(f99,plain,
( spl11_10
<=> ! [X0] :
( ~ program(X0)
| outputs(X0,good)
| ~ decides(X0,sK5(X0),sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f116,plain,
( ~ program(sK5(sK9))
| outputs(sK9,good)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f105,f86]) ).
fof(f105,plain,
( outputs(sK9,good)
| ~ program(sK5(sK9))
| ~ program(sK9)
| ~ spl11_3
| ~ spl11_10 ),
inference(resolution,[],[f100,f71]) ).
fof(f100,plain,
( ! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| outputs(X0,good)
| ~ program(X0) )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( spl11_1
| spl11_10 ),
inference(avatar_split_clause,[],[f52,f99,f63]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ program(X0)
| ~ program(X1)
| ~ decides(X0,sK5(X0),sK6(X0))
| ~ halts2(X1,X2)
| outputs(X0,good) ),
inference(cnf_transformation,[],[f31]) ).
fof(f97,plain,
( spl11_3
| spl11_9 ),
inference(avatar_split_clause,[],[f58,f94,f70]) ).
fof(f58,plain,
! [X0,X4,X5] :
( program(sK7(X0))
| decides(sK9,X4,X5)
| ~ program(X4)
| ~ algorithm(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ! [X0] :
( ( program(sK7(X0))
& ~ decides(X0,sK7(X0),sK8(X0)) )
| ~ algorithm(X0) )
| ( program(sK9)
& ! [X4] :
( ! [X5] : decides(sK9,X4,X5)
| ~ program(X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f14,f34,f33,f32]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) )
=> ( program(sK7(X0))
& ? [X2] : ~ decides(X0,sK7(X0),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ? [X2] : ~ decides(X0,sK7(X0),X2)
=> ~ decides(X0,sK7(X0),sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X3] :
( program(X3)
& ! [X4] :
( ! [X5] : decides(X3,X4,X5)
| ~ program(X4) ) )
=> ( program(sK9)
& ! [X4] :
( ! [X5] : decides(sK9,X4,X5)
| ~ program(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ! [X0] :
( ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) )
| ~ algorithm(X0) )
| ? [X3] :
( program(X3)
& ! [X4] :
( ! [X5] : decides(X3,X4,X5)
| ~ program(X4) ) ) ),
inference(ennf_transformation,[],[f6]) ).
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(f1,axiom,
( ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) )
=> ? [X3] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) )
& program(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f96,plain,
( spl11_9
| spl11_7 ),
inference(avatar_split_clause,[],[f59,f84,f94]) ).
fof(f59,plain,
! [X0] :
( program(sK9)
| ~ algorithm(X0)
| program(sK7(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f91,plain,
( spl11_5
| spl11_8 ),
inference(avatar_split_clause,[],[f48,f89,f77]) ).
fof(f48,plain,
! [X2,X0,X1] :
( outputs(X0,bad)
| ~ program(X1)
| ~ decides(X0,sK5(X0),sK6(X0))
| halts2(X1,X2)
| ~ program(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f87,plain,
( spl11_7
| spl11_4 ),
inference(avatar_split_clause,[],[f57,f73,f84]) ).
fof(f57,plain,
! [X0] :
( ~ decides(X0,sK7(X0),sK8(X0))
| ~ algorithm(X0)
| program(sK9) ),
inference(cnf_transformation,[],[f35]) ).
fof(f82,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f49,f80,f77]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ program(X0)
| program(sK5(X0))
| halts2(X1,X2)
| ~ program(X1)
| outputs(X0,bad) ),
inference(cnf_transformation,[],[f31]) ).
fof(f75,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f56,f73,f70]) ).
fof(f56,plain,
! [X0,X4,X5] :
( ~ decides(X0,sK7(X0),sK8(X0))
| ~ program(X4)
| decides(sK9,X4,X5)
| ~ algorithm(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f68,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f53,f66,f63]) ).
fof(f53,plain,
! [X2,X0,X1] :
( program(sK5(X0))
| ~ program(X0)
| ~ halts2(X1,X2)
| ~ program(X1)
| outputs(X0,good) ),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM003+3 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 17:04:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (3419)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.44 % (3419)Refutation not found, incomplete strategy% (3419)------------------------------
% 0.19/0.44 % (3419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (3419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (3419)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47 % (3419)Memory used [KB]: 6012
% 0.19/0.47 % (3419)Time elapsed: 0.064 s
% 0.19/0.47 % (3419)Instructions burned: 2 (million)
% 0.19/0.47 % (3419)------------------------------
% 0.19/0.47 % (3419)------------------------------
% 0.19/0.48 % (3435)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.48 % (3443)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.48 % (3427)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.48 % (3435)Instruction limit reached!
% 0.19/0.48 % (3435)------------------------------
% 0.19/0.48 % (3435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (3435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (3435)Termination reason: Unknown
% 0.19/0.49 % (3435)Termination phase: Finite model building preprocessing
% 0.19/0.49
% 0.19/0.49 % (3435)Memory used [KB]: 1407
% 0.19/0.49 % (3435)Time elapsed: 0.008 s
% 0.19/0.49 % (3435)Instructions burned: 3 (million)
% 0.19/0.49 % (3435)------------------------------
% 0.19/0.49 % (3435)------------------------------
% 0.19/0.49 % (3427)Refutation not found, incomplete strategy% (3427)------------------------------
% 0.19/0.49 % (3427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (3427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (3427)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (3427)Memory used [KB]: 6012
% 0.19/0.49 % (3427)Time elapsed: 0.104 s
% 0.19/0.49 % (3427)Instructions burned: 3 (million)
% 0.19/0.49 % (3427)------------------------------
% 0.19/0.49 % (3427)------------------------------
% 0.19/0.49 % (3443)First to succeed.
% 0.19/0.51 % (3443)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (3443)------------------------------
% 0.19/0.51 % (3443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3443)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (3443)Memory used [KB]: 6140
% 0.19/0.51 % (3443)Time elapsed: 0.124 s
% 0.19/0.51 % (3443)Instructions burned: 7 (million)
% 0.19/0.51 % (3443)------------------------------
% 0.19/0.51 % (3443)------------------------------
% 0.19/0.51 % (3414)Success in time 0.161 s
%------------------------------------------------------------------------------