TSTP Solution File: COM003+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM003+1 : 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 : n007.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 15:53:01 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 43
% Syntax : Number of formulae : 277 ( 2 unt; 0 def)
% Number of atoms : 1520 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 2254 (1011 ~;1000 |; 167 &)
% ( 28 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 29 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-1 aty)
% Number of variables : 332 ( 286 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f643,plain,
$false,
inference(avatar_sat_refutation,[],[f168,f176,f184,f188,f192,f196,f211,f218,f230,f234,f243,f251,f256,f262,f265,f270,f282,f286,f290,f300,f304,f310,f319,f326,f328,f331,f332,f336,f346,f369,f381,f407,f437,f439,f505,f521,f542,f547,f552,f557,f575,f642]) ).
fof(f642,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f639,f167]) ).
fof(f167,plain,
( program(sK7)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl10_2
<=> program(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f639,plain,
( ~ program(sK7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(resolution,[],[f633,f175]) ).
fof(f175,plain,
( ! [X0] :
( program(sK3(X0))
| ~ program(X0) )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl10_4
<=> ! [X0] :
( ~ program(X0)
| program(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f633,plain,
( ~ program(sK3(sK7))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f632,f167]) ).
fof(f632,plain,
( ~ program(sK3(sK7))
| ~ program(sK7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f629,f626]) ).
fof(f626,plain,
( outputs(sK7,bad)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f622,f167]) ).
fof(f622,plain,
( ~ program(sK7)
| outputs(sK7,bad)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(resolution,[],[f621,f210]) ).
fof(f210,plain,
( ! [X0] :
( program(sK8(X0))
| outputs(X0,bad)
| ~ program(X0) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl10_13
<=> ! [X0] :
( program(sK8(X0))
| outputs(X0,bad)
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f621,plain,
( ~ program(sK8(sK7))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f620,f167]) ).
fof(f620,plain,
( ~ program(sK7)
| ~ program(sK8(sK7))
| ~ spl10_4
| ~ spl10_9
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(resolution,[],[f618,f195]) ).
fof(f195,plain,
( ! [X4,X5] :
( decides(sK7,X4,X5)
| ~ program(X4) )
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl10_9
<=> ! [X4,X5] :
( ~ program(X4)
| decides(sK7,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f618,plain,
( ! [X1] :
( ~ decides(X1,sK8(X1),sK9(X1))
| ~ program(X1) )
| ~ spl10_4
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f617,f175]) ).
fof(f617,plain,
( ! [X1] :
( ~ program(X1)
| ~ decides(X1,sK8(X1),sK9(X1))
| ~ program(sK3(X1)) )
| ~ spl10_4
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f602,f281]) ).
fof(f281,plain,
( ! [X0] :
( outputs(X0,bad)
| ~ program(X0)
| ~ decides(X0,sK8(X0),sK9(X0)) )
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl10_29
<=> ! [X0] :
( ~ program(X0)
| outputs(X0,bad)
| ~ decides(X0,sK8(X0),sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
fof(f602,plain,
( ! [X1] :
( ~ decides(X1,sK8(X1),sK9(X1))
| ~ outputs(X1,bad)
| ~ program(sK3(X1))
| ~ program(X1) )
| ~ spl10_4
| ~ spl10_15
| ~ spl10_33 ),
inference(duplicate_literal_removal,[],[f600]) ).
fof(f600,plain,
( ! [X1] :
( ~ program(X1)
| ~ program(sK3(X1))
| ~ outputs(X1,bad)
| ~ decides(X1,sK8(X1),sK9(X1))
| ~ program(X1) )
| ~ spl10_4
| ~ spl10_15
| ~ spl10_33 ),
inference(resolution,[],[f577,f154]) ).
fof(f154,plain,
! [X3,X0,X4] :
( halts3(X0,X4,X3)
| ~ decides(X0,sK8(X0),sK9(X0))
| ~ program(X0)
| ~ program(X4) ),
inference(subsumption_resolution,[],[f124,f125]) ).
fof(f125,plain,
! [X3,X0,X4] :
( halts3(X0,X4,X3)
| ~ program(X0)
| ~ decides(X0,sK8(X0),sK9(X0))
| ~ halts2(X4,X3)
| ~ program(X4) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( program(sK8(X0))
& ~ decides(X0,sK8(X0),sK9(X0)) )
| ! [X3,X4] :
( ( ( outputs(X0,good)
& halts3(X0,X4,X3) )
| ~ halts2(X4,X3)
| ~ program(X4) )
& ( ( halts3(X0,X4,X3)
& outputs(X0,bad) )
| ~ program(X4)
| halts2(X4,X3) ) )
| ~ program(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f16,f34,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) )
=> ( program(sK8(X0))
& ? [X2] : ~ decides(X0,sK8(X0),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ? [X2] : ~ decides(X0,sK8(X0),X2)
=> ~ decides(X0,sK8(X0),sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) )
| ! [X3,X4] :
( ( ( outputs(X0,good)
& halts3(X0,X4,X3) )
| ~ halts2(X4,X3)
| ~ program(X4) )
& ( ( halts3(X0,X4,X3)
& outputs(X0,bad) )
| ~ program(X4)
| halts2(X4,X3) ) )
| ~ program(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X3,X4] :
( ( ( halts3(X0,X4,X3)
& outputs(X0,bad) )
| ~ program(X4)
| halts2(X4,X3) )
& ( ( outputs(X0,good)
& halts3(X0,X4,X3) )
| ~ program(X4)
| ~ halts2(X4,X3) ) )
| ~ program(X0)
| ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ( program(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) )
=> ! [X3,X4] :
( ( ( program(X4)
& ~ halts2(X4,X3) )
=> ( halts3(X0,X4,X3)
& outputs(X0,bad) ) )
& ( ( program(X4)
& halts2(X4,X3) )
=> ( outputs(X0,good)
& halts3(X0,X4,X3) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3] :
( ( ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) )
& program(X3) )
=> ! [X2,X1] :
( ( ( halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,good)
& halts3(X3,X1,X2) ) )
& ( ( program(X1)
& ~ halts2(X1,X2) )
=> ( outputs(X3,bad)
& halts3(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f124,plain,
! [X3,X0,X4] :
( ~ decides(X0,sK8(X0),sK9(X0))
| ~ program(X4)
| halts3(X0,X4,X3)
| ~ program(X0)
| halts2(X4,X3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f577,plain,
( ! [X1] :
( ~ halts3(X1,sK3(X1),sK3(X1))
| ~ outputs(X1,bad)
| ~ program(X1) )
| ~ spl10_4
| ~ spl10_15
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f559,f175]) ).
fof(f559,plain,
( ! [X1] :
( ~ program(X1)
| ~ outputs(X1,bad)
| ~ program(sK3(X1))
| ~ halts3(X1,sK3(X1),sK3(X1)) )
| ~ spl10_15
| ~ spl10_33 ),
inference(resolution,[],[f217,f299]) ).
fof(f299,plain,
( ! [X0] :
( halts2(sK3(X0),sK3(X0))
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ program(X0)
| ~ outputs(X0,bad) )
| ~ spl10_33 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl10_33
<=> ! [X0] :
( ~ outputs(X0,bad)
| ~ halts3(X0,sK3(X0),sK3(X0))
| halts2(sK3(X0),sK3(X0))
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_33])]) ).
fof(f217,plain,
( ! [X3,X4] :
( ~ halts2(X4,X3)
| ~ program(X4) )
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl10_15
<=> ! [X4,X3] :
( ~ halts2(X4,X3)
| ~ program(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f629,plain,
( ~ outputs(sK7,bad)
| ~ program(sK7)
| ~ program(sK3(sK7))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(resolution,[],[f625,f577]) ).
fof(f625,plain,
( ! [X2,X3] :
( halts3(sK7,X2,X3)
| ~ program(X2) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f624,f167]) ).
fof(f624,plain,
( ! [X2,X3] :
( halts3(sK7,X2,X3)
| ~ program(sK7)
| ~ program(X2) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_15
| ~ spl10_29
| ~ spl10_33 ),
inference(resolution,[],[f621,f160]) ).
fof(f160,plain,
! [X3,X0,X4] :
( program(sK8(X0))
| ~ program(X4)
| halts3(X0,X4,X3)
| ~ program(X0) ),
inference(subsumption_resolution,[],[f128,f129]) ).
fof(f129,plain,
! [X3,X0,X4] :
( program(sK8(X0))
| ~ program(X0)
| ~ program(X4)
| halts3(X0,X4,X3)
| ~ halts2(X4,X3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f128,plain,
! [X3,X0,X4] :
( ~ program(X0)
| ~ program(X4)
| halts3(X0,X4,X3)
| program(sK8(X0))
| halts2(X4,X3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f575,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_8
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f570,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_8
| ~ spl10_15 ),
inference(resolution,[],[f561,f167]) ).
fof(f561,plain,
( ! [X2] : ~ program(X2)
| ~ spl10_3
| ~ spl10_8
| ~ spl10_15 ),
inference(subsumption_resolution,[],[f560,f172]) ).
fof(f172,plain,
( program(sK4)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl10_3
<=> program(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f560,plain,
( ! [X2] :
( ~ program(X2)
| ~ program(sK4) )
| ~ spl10_8
| ~ spl10_15 ),
inference(resolution,[],[f217,f191]) ).
fof(f191,plain,
( ! [X3] :
( halts2(sK4,X3)
| ~ program(X3) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl10_8
<=> ! [X3] :
( ~ program(X3)
| halts2(sK4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f557,plain,
( ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_18
| ~ spl10_22
| ~ spl10_26
| ~ spl10_40 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f556,plain,
( $false
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_18
| ~ spl10_22
| ~ spl10_26
| ~ spl10_40 ),
inference(subsumption_resolution,[],[f555,f247]) ).
fof(f247,plain,
( outputs(sK4,good)
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl10_22
<=> outputs(sK4,good) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f555,plain,
( ~ outputs(sK4,good)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_18
| ~ spl10_26
| ~ spl10_40 ),
inference(subsumption_resolution,[],[f554,f429]) ).
fof(f429,plain,
( program(sK0(sK4))
| ~ spl10_40 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl10_40
<=> program(sK0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_40])]) ).
fof(f554,plain,
( ~ program(sK0(sK4))
| ~ outputs(sK4,good)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_18
| ~ spl10_26 ),
inference(subsumption_resolution,[],[f553,f172]) ).
fof(f553,plain,
( ~ program(sK4)
| ~ outputs(sK4,good)
| ~ program(sK0(sK4))
| ~ spl10_6
| ~ spl10_8
| ~ spl10_18
| ~ spl10_26 ),
inference(resolution,[],[f551,f191]) ).
fof(f551,plain,
( ! [X0] :
( ~ halts2(X0,sK0(X0))
| ~ outputs(X0,good)
| ~ program(X0) )
| ~ spl10_6
| ~ spl10_18
| ~ spl10_26 ),
inference(subsumption_resolution,[],[f550,f183]) ).
fof(f183,plain,
( ! [X0] :
( program(sK0(X0))
| ~ program(X0) )
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl10_6
<=> ! [X0] :
( ~ program(X0)
| program(sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f550,plain,
( ! [X0] :
( ~ program(sK0(X0))
| ~ halts2(X0,sK0(X0))
| ~ outputs(X0,good)
| ~ program(X0) )
| ~ spl10_18
| ~ spl10_26 ),
inference(resolution,[],[f229,f269]) ).
fof(f269,plain,
( ! [X0] :
( ~ halts2(sK0(X0),sK0(X0))
| ~ halts2(X0,sK0(X0))
| ~ outputs(X0,good)
| ~ program(X0) )
| ~ spl10_26 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl10_26
<=> ! [X0] :
( ~ halts2(sK0(X0),sK0(X0))
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(X0,sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).
fof(f229,plain,
( ! [X3] :
( halts2(X3,X3)
| ~ program(X3) )
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl10_18
<=> ! [X3] :
( halts2(X3,X3)
| ~ program(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f552,plain,
( spl10_4
| ~ spl10_11
| ~ spl10_34 ),
inference(avatar_split_clause,[],[f528,f302,f202,f174]) ).
fof(f202,plain,
( spl10_11
<=> ! [X0] :
( ~ program(X0)
| program(sK3(X0))
| ~ halts2(sK3(X0),sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f302,plain,
( spl10_34
<=> ! [X0] :
( program(sK3(X0))
| halts2(sK3(X0),sK3(X0))
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
fof(f528,plain,
( ! [X0] :
( ~ program(X0)
| program(sK3(X0)) )
| ~ spl10_11
| ~ spl10_34 ),
inference(subsumption_resolution,[],[f303,f203]) ).
fof(f203,plain,
( ! [X0] :
( program(sK3(X0))
| ~ program(X0)
| ~ halts2(sK3(X0),sK3(X0)) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f303,plain,
( ! [X0] :
( ~ program(X0)
| program(sK3(X0))
| halts2(sK3(X0),sK3(X0)) )
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f547,plain,
( ~ spl10_17
| ~ spl10_3
| ~ spl10_8
| ~ spl10_22
| ~ spl10_25
| ~ spl10_40 ),
inference(avatar_split_clause,[],[f546,f428,f260,f245,f190,f170,f224]) ).
fof(f224,plain,
( spl10_17
<=> outputs(sK4,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f260,plain,
( spl10_25
<=> ! [X0] :
( ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(X0,sK0(X0))
| ~ outputs(X0,bad) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
fof(f546,plain,
( ~ outputs(sK4,bad)
| ~ spl10_3
| ~ spl10_8
| ~ spl10_22
| ~ spl10_25
| ~ spl10_40 ),
inference(subsumption_resolution,[],[f545,f429]) ).
fof(f545,plain,
( ~ outputs(sK4,bad)
| ~ program(sK0(sK4))
| ~ spl10_3
| ~ spl10_8
| ~ spl10_22
| ~ spl10_25 ),
inference(subsumption_resolution,[],[f544,f247]) ).
fof(f544,plain,
( ~ outputs(sK4,bad)
| ~ outputs(sK4,good)
| ~ program(sK0(sK4))
| ~ spl10_3
| ~ spl10_8
| ~ spl10_25 ),
inference(subsumption_resolution,[],[f410,f172]) ).
fof(f410,plain,
( ~ program(sK4)
| ~ outputs(sK4,good)
| ~ outputs(sK4,bad)
| ~ program(sK0(sK4))
| ~ spl10_8
| ~ spl10_25 ),
inference(resolution,[],[f261,f191]) ).
fof(f261,plain,
( ! [X0] :
( ~ halts2(X0,sK0(X0))
| ~ program(X0)
| ~ outputs(X0,good)
| ~ outputs(X0,bad) )
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f542,plain,
( ~ spl10_3
| ~ spl10_8
| ~ spl10_23 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl10_3
| ~ spl10_8
| ~ spl10_23 ),
inference(subsumption_resolution,[],[f539,f172]) ).
fof(f539,plain,
( ~ program(sK4)
| ~ spl10_8
| ~ spl10_23 ),
inference(duplicate_literal_removal,[],[f536]) ).
fof(f536,plain,
( ~ program(sK4)
| ~ program(sK4)
| ~ spl10_8
| ~ spl10_23 ),
inference(resolution,[],[f250,f191]) ).
fof(f250,plain,
( ! [X3] :
( ~ halts2(X3,X3)
| ~ program(X3) )
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl10_23
<=> ! [X3] :
( ~ halts2(X3,X3)
| ~ program(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f521,plain,
( ~ spl10_3
| ~ spl10_6
| spl10_40 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f520,plain,
( $false
| ~ spl10_3
| ~ spl10_6
| spl10_40 ),
inference(subsumption_resolution,[],[f518,f172]) ).
fof(f518,plain,
( ~ program(sK4)
| ~ spl10_6
| spl10_40 ),
inference(resolution,[],[f430,f183]) ).
fof(f430,plain,
( ~ program(sK0(sK4))
| spl10_40 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f505,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f503,f167]) ).
fof(f503,plain,
( ~ program(sK7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(resolution,[],[f499,f175]) ).
fof(f499,plain,
( ~ program(sK3(sK7))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f498,f460]) ).
fof(f460,plain,
( outputs(sK7,good)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_14
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f455,f167]) ).
fof(f455,plain,
( outputs(sK7,good)
| ~ program(sK7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_14
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(resolution,[],[f452,f214]) ).
fof(f214,plain,
( ! [X0] :
( program(sK8(X0))
| outputs(X0,good)
| ~ program(X0) )
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl10_14
<=> ! [X0] :
( outputs(X0,good)
| program(sK8(X0))
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f452,plain,
( ~ program(sK8(sK7))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f451,f167]) ).
fof(f451,plain,
( ~ program(sK7)
| ~ program(sK8(sK7))
| ~ spl10_4
| ~ spl10_9
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(resolution,[],[f449,f195]) ).
fof(f449,plain,
( ! [X1] :
( ~ decides(X1,sK8(X1),sK9(X1))
| ~ program(X1) )
| ~ spl10_4
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f448,f175]) ).
fof(f448,plain,
( ! [X1] :
( ~ program(X1)
| ~ decides(X1,sK8(X1),sK9(X1))
| ~ program(sK3(X1)) )
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f447,f281]) ).
fof(f447,plain,
( ! [X1] :
( ~ program(sK3(X1))
| ~ decides(X1,sK8(X1),sK9(X1))
| ~ outputs(X1,bad)
| ~ program(X1) )
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f442,f285]) ).
fof(f285,plain,
( ! [X0] :
( outputs(X0,good)
| ~ decides(X0,sK8(X0),sK9(X0))
| ~ program(X0) )
| ~ spl10_30 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl10_30
<=> ! [X0] :
( ~ decides(X0,sK8(X0),sK9(X0))
| outputs(X0,good)
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).
fof(f442,plain,
( ! [X1] :
( ~ program(sK3(X1))
| ~ program(X1)
| ~ decides(X1,sK8(X1),sK9(X1))
| ~ outputs(X1,bad)
| ~ outputs(X1,good) )
| ~ spl10_31 ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f441,plain,
( ! [X1] :
( ~ decides(X1,sK8(X1),sK9(X1))
| ~ outputs(X1,bad)
| ~ program(sK3(X1))
| ~ program(X1)
| ~ outputs(X1,good)
| ~ program(X1) )
| ~ spl10_31 ),
inference(resolution,[],[f289,f154]) ).
fof(f289,plain,
( ! [X0] :
( ~ halts3(X0,sK3(X0),sK3(X0))
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ outputs(X0,good) )
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl10_31
<=> ! [X0] :
( ~ outputs(X0,bad)
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts3(X0,sK3(X0),sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
fof(f498,plain,
( ~ outputs(sK7,good)
| ~ program(sK3(sK7))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f497,f459]) ).
fof(f459,plain,
( outputs(sK7,bad)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f453,f167]) ).
fof(f453,plain,
( outputs(sK7,bad)
| ~ program(sK7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(resolution,[],[f452,f210]) ).
fof(f497,plain,
( ~ program(sK3(sK7))
| ~ outputs(sK7,bad)
| ~ outputs(sK7,good)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f496,f167]) ).
fof(f496,plain,
( ~ program(sK7)
| ~ outputs(sK7,bad)
| ~ program(sK3(sK7))
| ~ outputs(sK7,good)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(resolution,[],[f458,f289]) ).
fof(f458,plain,
( ! [X2,X3] :
( halts3(sK7,X2,X3)
| ~ program(X2) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(subsumption_resolution,[],[f456,f167]) ).
fof(f456,plain,
( ! [X2,X3] :
( ~ program(sK7)
| ~ program(X2)
| halts3(sK7,X2,X3) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_9
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(resolution,[],[f452,f160]) ).
fof(f439,plain,
( spl10_17
| spl10_18
| spl10_31 ),
inference(avatar_split_clause,[],[f144,f288,f228,f224]) ).
fof(f144,plain,
! [X3,X0] :
( ~ program(X0)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ program(X3)
| outputs(sK4,bad)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| halts2(X3,X3) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
! [X3,X0] :
( ~ halts3(X0,sK3(X0),sK3(X0))
| halts2(X3,X3)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,bad)
| ~ program(X0)
| ~ outputs(X0,good)
| outputs(sK4,bad)
| ~ program(X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ! [X0] :
( ( ~ halts2(sK3(X0),sK3(X0))
& program(sK3(X0))
& ( ~ outputs(X0,bad)
| ~ halts3(X0,sK3(X0),sK3(X0)) ) )
| ( ( ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,good) )
& halts2(sK3(X0),sK3(X0))
& program(sK3(X0)) )
| ~ program(X0) )
| ( ! [X3] :
( ( ~ halts2(X3,X3)
| ( halts2(sK4,X3)
& outputs(sK4,good) )
| ~ program(X3) )
& ( ( halts2(sK4,X3)
& outputs(sK4,bad) )
| halts2(X3,X3)
| ~ program(X3) ) )
& program(sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f14,f27,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ( ~ halts2(X1,X1)
& program(X1)
& ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X1) ) )
| ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& halts2(X1,X1)
& program(X1) ) )
=> ( ( ~ halts2(sK3(X0),sK3(X0))
& program(sK3(X0))
& ( ~ outputs(X0,bad)
| ~ halts3(X0,sK3(X0),sK3(X0)) ) )
| ( ( ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,good) )
& halts2(sK3(X0),sK3(X0))
& program(sK3(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X2] :
( ! [X3] :
( ( ~ halts2(X3,X3)
| ( halts2(X2,X3)
& outputs(X2,good) )
| ~ program(X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| halts2(X3,X3)
| ~ program(X3) ) )
& program(X2) )
=> ( ! [X3] :
( ( ~ halts2(X3,X3)
| ( halts2(sK4,X3)
& outputs(sK4,good) )
| ~ program(X3) )
& ( ( halts2(sK4,X3)
& outputs(sK4,bad) )
| halts2(X3,X3)
| ~ program(X3) ) )
& program(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ! [X0] :
( ? [X1] :
( ( ~ halts2(X1,X1)
& program(X1)
& ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X1) ) )
| ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& halts2(X1,X1)
& program(X1) ) )
| ~ program(X0) )
| ? [X2] :
( ! [X3] :
( ( ~ halts2(X3,X3)
| ( halts2(X2,X3)
& outputs(X2,good) )
| ~ program(X3) )
& ( ( halts2(X2,X3)
& outputs(X2,bad) )
| halts2(X3,X3)
| ~ program(X3) ) )
& program(X2) ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
( ? [X2] :
( ! [X3] :
( ( ( halts2(X2,X3)
& outputs(X2,bad) )
| halts2(X3,X3)
| ~ program(X3) )
& ( ( halts2(X2,X3)
& outputs(X2,good) )
| ~ halts2(X3,X3)
| ~ program(X3) ) )
& program(X2) )
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& halts2(X1,X1)
& program(X1) )
| ( ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X1) )
& program(X1)
& ~ halts2(X1,X1) ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ( halts2(X1,X1)
& program(X1) )
=> ( outputs(X0,good)
& halts3(X0,X1,X1) ) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( outputs(X0,bad)
& halts3(X0,X1,X1) ) ) ) )
=> ? [X2] :
( ! [X3] :
( ( ( ~ halts2(X3,X3)
& program(X3) )
=> ( halts2(X2,X3)
& outputs(X2,bad) ) )
& ( ( halts2(X3,X3)
& program(X3) )
=> ( halts2(X2,X3)
& outputs(X2,good) ) ) )
& program(X2) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( ? [X3] :
( program(X3)
& ! [X1] :
( ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( outputs(X3,bad)
& halts3(X3,X1,X1) ) )
& ( ( halts2(X1,X1)
& program(X1) )
=> ( halts3(X3,X1,X1)
& outputs(X3,good) ) ) ) )
=> ? [X4] :
( program(X4)
& ! [X1] :
( ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( outputs(X4,bad)
& halts2(X4,X1) ) )
& ( ( halts2(X1,X1)
& program(X1) )
=> ( halts2(X4,X1)
& outputs(X4,good) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f437,plain,
( spl10_23
| spl10_31
| spl10_22 ),
inference(avatar_split_clause,[],[f133,f245,f288,f249]) ).
fof(f133,plain,
! [X3,X0] :
( outputs(sK4,good)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| ~ program(X3)
| ~ outputs(X0,bad)
| ~ halts2(X3,X3) ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f87,plain,
! [X3,X0] :
( ~ halts2(X3,X3)
| ~ program(X3)
| ~ outputs(X0,bad)
| ~ program(X0)
| outputs(sK4,good)
| ~ outputs(X0,good)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ halts3(X0,sK3(X0),sK3(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f407,plain,
( ~ spl10_5
| ~ spl10_19
| ~ spl10_21 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl10_5
| ~ spl10_19
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f405,f402]) ).
fof(f402,plain,
( ~ halts2(sK1,sK1)
| ~ spl10_5
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f390,f180]) ).
fof(f180,plain,
( program(sK1)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl10_5
<=> program(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f390,plain,
( ~ program(sK1)
| ~ halts2(sK1,sK1)
| ~ spl10_21 ),
inference(factoring,[],[f242]) ).
fof(f242,plain,
( ! [X3] :
( ~ halts2(sK1,X3)
| ~ halts2(X3,X3)
| ~ program(X3) )
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl10_21
<=> ! [X3] :
( ~ halts2(sK1,X3)
| ~ program(X3)
| ~ halts2(X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
fof(f405,plain,
( halts2(sK1,sK1)
| ~ spl10_5
| ~ spl10_19
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f404,f180]) ).
fof(f404,plain,
( ~ program(sK1)
| halts2(sK1,sK1)
| ~ spl10_5
| ~ spl10_19
| ~ spl10_21 ),
inference(resolution,[],[f402,f233]) ).
fof(f233,plain,
( ! [X3] :
( halts2(sK1,X3)
| ~ program(X3)
| halts2(X3,X3) )
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl10_19
<=> ! [X3] :
( halts2(sK1,X3)
| halts2(X3,X3)
| ~ program(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f381,plain,
( ~ spl10_2
| ~ spl10_12
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| ~ spl10_2
| ~ spl10_12
| ~ spl10_15 ),
inference(resolution,[],[f370,f167]) ).
fof(f370,plain,
( ! [X4] : ~ program(X4)
| ~ spl10_12
| ~ spl10_15 ),
inference(subsumption_resolution,[],[f217,f207]) ).
fof(f207,plain,
( ! [X3,X4] :
( halts2(X4,X3)
| ~ program(X4) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl10_12
<=> ! [X4,X3] :
( ~ program(X4)
| halts2(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f369,plain,
( ~ spl10_2
| ~ spl10_6
| ~ spl10_9
| ~ spl10_12
| ~ spl10_14
| ~ spl10_26
| ~ spl10_30 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| ~ spl10_2
| ~ spl10_6
| ~ spl10_9
| ~ spl10_12
| ~ spl10_14
| ~ spl10_26
| ~ spl10_30 ),
inference(subsumption_resolution,[],[f367,f167]) ).
fof(f367,plain,
( ~ program(sK7)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_9
| ~ spl10_12
| ~ spl10_14
| ~ spl10_26
| ~ spl10_30 ),
inference(resolution,[],[f366,f351]) ).
fof(f351,plain,
( ! [X0] :
( ~ outputs(X0,good)
| ~ program(X0) )
| ~ spl10_6
| ~ spl10_12
| ~ spl10_26 ),
inference(subsumption_resolution,[],[f350,f183]) ).
fof(f350,plain,
( ! [X0] :
( ~ program(X0)
| ~ outputs(X0,good)
| ~ program(sK0(X0)) )
| ~ spl10_12
| ~ spl10_26 ),
inference(resolution,[],[f349,f207]) ).
fof(f349,plain,
( ! [X0] :
( ~ halts2(sK0(X0),sK0(X0))
| ~ program(X0)
| ~ outputs(X0,good) )
| ~ spl10_12
| ~ spl10_26 ),
inference(subsumption_resolution,[],[f269,f207]) ).
fof(f366,plain,
( outputs(sK7,good)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_9
| ~ spl10_12
| ~ spl10_14
| ~ spl10_26
| ~ spl10_30 ),
inference(subsumption_resolution,[],[f363,f167]) ).
fof(f363,plain,
( ~ program(sK7)
| outputs(sK7,good)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_9
| ~ spl10_12
| ~ spl10_14
| ~ spl10_26
| ~ spl10_30 ),
inference(resolution,[],[f360,f214]) ).
fof(f360,plain,
( ~ program(sK8(sK7))
| ~ spl10_2
| ~ spl10_6
| ~ spl10_9
| ~ spl10_12
| ~ spl10_26
| ~ spl10_30 ),
inference(subsumption_resolution,[],[f359,f167]) ).
fof(f359,plain,
( ~ program(sK8(sK7))
| ~ program(sK7)
| ~ spl10_6
| ~ spl10_9
| ~ spl10_12
| ~ spl10_26
| ~ spl10_30 ),
inference(resolution,[],[f354,f195]) ).
fof(f354,plain,
( ! [X0] :
( ~ decides(X0,sK8(X0),sK9(X0))
| ~ program(X0) )
| ~ spl10_6
| ~ spl10_12
| ~ spl10_26
| ~ spl10_30 ),
inference(duplicate_literal_removal,[],[f352]) ).
fof(f352,plain,
( ! [X0] :
( ~ program(X0)
| ~ decides(X0,sK8(X0),sK9(X0))
| ~ program(X0) )
| ~ spl10_6
| ~ spl10_12
| ~ spl10_26
| ~ spl10_30 ),
inference(resolution,[],[f351,f285]) ).
fof(f346,plain,
( ~ spl10_5
| ~ spl10_12
| ~ spl10_21 ),
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl10_5
| ~ spl10_12
| ~ spl10_21 ),
inference(resolution,[],[f335,f180]) ).
fof(f335,plain,
( ! [X0] : ~ program(X0)
| ~ spl10_5
| ~ spl10_12
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f334,f180]) ).
fof(f334,plain,
( ! [X0] :
( ~ program(sK1)
| ~ program(X0) )
| ~ spl10_12
| ~ spl10_21 ),
inference(resolution,[],[f333,f207]) ).
fof(f333,plain,
( ! [X3] :
( ~ halts2(sK1,X3)
| ~ program(X3) )
| ~ spl10_12
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f242,f207]) ).
fof(f336,plain,
( spl10_19
| spl10_26 ),
inference(avatar_split_clause,[],[f41,f268,f232]) ).
fof(f41,plain,
! [X3,X0] :
( ~ outputs(X0,good)
| ~ halts2(X0,sK0(X0))
| halts2(X3,X3)
| halts2(sK1,X3)
| ~ halts2(sK0(X0),sK0(X0))
| ~ program(X0)
| ~ program(X3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ! [X0] :
( ( halts2(sK0(X0),sK0(X0))
& program(sK0(X0))
& ( ~ outputs(X0,good)
| ~ halts2(X0,sK0(X0)) ) )
| ( ( ~ outputs(X0,bad)
| ~ halts2(X0,sK0(X0)) )
& ~ halts2(sK0(X0),sK0(X0))
& program(sK0(X0)) )
| ~ program(X0) )
| ( program(sK1)
& ! [X3] :
( ( halts2(X3,X3)
| ~ program(X3)
| ( outputs(sK1,bad)
& halts2(sK1,X3) ) )
& ( ~ halts2(X3,X3)
| ~ halts2(sK1,X3)
| ~ program(X3) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f22,f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ( halts2(X1,X1)
& program(X1)
& ( ~ outputs(X0,good)
| ~ halts2(X0,X1) ) )
| ( ( ~ outputs(X0,bad)
| ~ halts2(X0,X1) )
& ~ halts2(X1,X1)
& program(X1) ) )
=> ( ( halts2(sK0(X0),sK0(X0))
& program(sK0(X0))
& ( ~ outputs(X0,good)
| ~ halts2(X0,sK0(X0)) ) )
| ( ( ~ outputs(X0,bad)
| ~ halts2(X0,sK0(X0)) )
& ~ halts2(sK0(X0),sK0(X0))
& program(sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( halts2(X3,X3)
| ~ program(X3)
| ( outputs(X2,bad)
& halts2(X2,X3) ) )
& ( ~ halts2(X3,X3)
| ~ halts2(X2,X3)
| ~ program(X3) ) ) )
=> ( program(sK1)
& ! [X3] :
( ( halts2(X3,X3)
| ~ program(X3)
| ( outputs(sK1,bad)
& halts2(sK1,X3) ) )
& ( ~ halts2(X3,X3)
| ~ halts2(sK1,X3)
| ~ program(X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ! [X0] :
( ? [X1] :
( ( halts2(X1,X1)
& program(X1)
& ( ~ outputs(X0,good)
| ~ halts2(X0,X1) ) )
| ( ( ~ outputs(X0,bad)
| ~ halts2(X0,X1) )
& ~ halts2(X1,X1)
& program(X1) ) )
| ~ program(X0) )
| ? [X2] :
( program(X2)
& ! [X3] :
( ( halts2(X3,X3)
| ~ program(X3)
| ( outputs(X2,bad)
& halts2(X2,X3) ) )
& ( ~ halts2(X3,X3)
| ~ halts2(X2,X3)
| ~ program(X3) ) ) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ halts2(X2,X3)
| ~ halts2(X3,X3)
| ~ program(X3) )
& ( ( outputs(X2,bad)
& halts2(X2,X3) )
| halts2(X3,X3)
| ~ program(X3) ) ) )
| ! [X0] :
( ~ program(X0)
| ? [X1] :
( ( ( ~ outputs(X0,good)
| ~ halts2(X0,X1) )
& halts2(X1,X1)
& program(X1) )
| ( ( ~ outputs(X0,bad)
| ~ halts2(X0,X1) )
& ~ halts2(X1,X1)
& program(X1) ) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ( halts2(X1,X1)
& program(X1) )
=> ( halts2(X0,X1)
& outputs(X0,good) ) )
& ( ( ~ halts2(X1,X1)
& program(X1) )
=> ( halts2(X0,X1)
& outputs(X0,bad) ) ) ) )
=> ? [X2] :
( program(X2)
& ! [X3] :
( ( ( halts2(X3,X3)
& program(X3) )
=> ~ halts2(X2,X3) )
& ( ( ~ halts2(X3,X3)
& program(X3) )
=> ( outputs(X2,bad)
& halts2(X2,X3) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
( ? [X4] :
( ! [X1] :
( ( ( halts2(X1,X1)
& program(X1) )
=> ( halts2(X4,X1)
& outputs(X4,good) ) )
& ( ( ~ halts2(X1,X1)
& program(X1) )
=> ( outputs(X4,bad)
& halts2(X4,X1) ) ) )
& program(X4) )
=> ? [X5] :
( program(X5)
& ! [X1] :
( ( ( ~ halts2(X1,X1)
& program(X1) )
=> ( halts2(X5,X1)
& outputs(X5,bad) ) )
& ( ( program(X1)
& halts2(X1,X1) )
=> ~ halts2(X5,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f332,plain,
( spl10_26
| spl10_21 ),
inference(avatar_split_clause,[],[f40,f241,f268]) ).
fof(f40,plain,
! [X3,X0] :
( ~ halts2(X3,X3)
| ~ outputs(X0,good)
| ~ halts2(sK1,X3)
| ~ program(X0)
| ~ program(X3)
| ~ halts2(sK0(X0),sK0(X0))
| ~ halts2(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f331,plain,
( spl10_8
| spl10_33 ),
inference(avatar_split_clause,[],[f158,f298,f190]) ).
fof(f158,plain,
! [X3,X0] :
( ~ outputs(X0,bad)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ program(X0)
| halts2(sK4,X3)
| ~ program(X3)
| halts2(sK3(X0),sK3(X0)) ),
inference(subsumption_resolution,[],[f81,f83]) ).
fof(f83,plain,
! [X3,X0] :
( ~ outputs(X0,bad)
| halts2(sK3(X0),sK3(X0))
| ~ halts2(X3,X3)
| ~ program(X0)
| ~ program(X3)
| ~ halts3(X0,sK3(X0),sK3(X0))
| halts2(sK4,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f81,plain,
! [X3,X0] :
( halts2(sK4,X3)
| ~ program(X0)
| ~ outputs(X0,bad)
| halts2(sK3(X0),sK3(X0))
| ~ halts3(X0,sK3(X0),sK3(X0))
| halts2(X3,X3)
| ~ program(X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f328,plain,
( spl10_19
| spl10_25 ),
inference(avatar_split_clause,[],[f136,f260,f232]) ).
fof(f136,plain,
! [X3,X0] :
( ~ halts2(X0,sK0(X0))
| ~ outputs(X0,good)
| halts2(sK1,X3)
| ~ program(X3)
| ~ outputs(X0,bad)
| ~ program(X0)
| halts2(X3,X3) ),
inference(duplicate_literal_removal,[],[f45]) ).
fof(f45,plain,
! [X3,X0] :
( ~ program(X3)
| halts2(X3,X3)
| ~ halts2(X0,sK0(X0))
| ~ program(X0)
| halts2(sK1,X3)
| ~ halts2(X0,sK0(X0))
| ~ outputs(X0,bad)
| ~ outputs(X0,good) ),
inference(cnf_transformation,[],[f23]) ).
fof(f326,plain,
( spl10_25
| spl10_21 ),
inference(avatar_split_clause,[],[f132,f241,f260]) ).
fof(f132,plain,
! [X3,X0] :
( ~ program(X3)
| ~ halts2(X0,sK0(X0))
| ~ halts2(X3,X3)
| ~ halts2(sK1,X3)
| ~ outputs(X0,good)
| ~ outputs(X0,bad)
| ~ program(X0) ),
inference(duplicate_literal_removal,[],[f44]) ).
fof(f44,plain,
! [X3,X0] :
( ~ halts2(X0,sK0(X0))
| ~ program(X0)
| ~ halts2(X0,sK0(X0))
| ~ program(X3)
| ~ halts2(X3,X3)
| ~ outputs(X0,good)
| ~ outputs(X0,bad)
| ~ halts2(sK1,X3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f319,plain,
( spl10_31
| spl10_8 ),
inference(avatar_split_clause,[],[f157,f190,f288]) ).
fof(f157,plain,
! [X3,X0] :
( ~ program(X3)
| ~ outputs(X0,bad)
| ~ program(X0)
| halts2(sK4,X3)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,good) ),
inference(subsumption_resolution,[],[f138,f141]) ).
fof(f141,plain,
! [X3,X0] :
( ~ halts2(X3,X3)
| ~ program(X3)
| ~ outputs(X0,bad)
| halts2(sK4,X3)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,good)
| ~ program(X0) ),
inference(duplicate_literal_removal,[],[f88]) ).
fof(f88,plain,
! [X3,X0] :
( ~ halts3(X0,sK3(X0),sK3(X0))
| ~ program(X0)
| ~ outputs(X0,good)
| ~ program(X3)
| ~ halts3(X0,sK3(X0),sK3(X0))
| halts2(sK4,X3)
| ~ halts2(X3,X3)
| ~ outputs(X0,bad) ),
inference(cnf_transformation,[],[f28]) ).
fof(f138,plain,
! [X3,X0] :
( ~ outputs(X0,bad)
| halts2(X3,X3)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,good)
| halts2(sK4,X3)
| ~ program(X3)
| ~ program(X0) ),
inference(duplicate_literal_removal,[],[f86]) ).
fof(f86,plain,
! [X3,X0] :
( ~ program(X3)
| ~ outputs(X0,bad)
| halts2(sK4,X3)
| ~ outputs(X0,good)
| ~ program(X0)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ halts3(X0,sK3(X0),sK3(X0))
| halts2(X3,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f310,plain,
( spl10_22
| spl10_23
| spl10_11 ),
inference(avatar_split_clause,[],[f107,f202,f249,f245]) ).
fof(f107,plain,
! [X3,X0] :
( ~ halts2(sK3(X0),sK3(X0))
| ~ halts2(X3,X3)
| program(sK3(X0))
| outputs(sK4,good)
| ~ program(X3)
| ~ program(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f304,plain,
( spl10_17
| spl10_34
| spl10_18 ),
inference(avatar_split_clause,[],[f95,f228,f302,f224]) ).
fof(f95,plain,
! [X3,X0] :
( ~ program(X3)
| program(sK3(X0))
| outputs(sK4,bad)
| ~ program(X0)
| halts2(sK3(X0),sK3(X0))
| halts2(X3,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f300,plain,
( spl10_33
| spl10_3 ),
inference(avatar_split_clause,[],[f79,f170,f298]) ).
fof(f79,plain,
! [X0] :
( program(sK4)
| ~ outputs(X0,bad)
| ~ program(X0)
| halts2(sK3(X0),sK3(X0))
| ~ halts3(X0,sK3(X0),sK3(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f290,plain,
( spl10_3
| spl10_31 ),
inference(avatar_split_clause,[],[f145,f288,f170]) ).
fof(f145,plain,
! [X0] :
( ~ outputs(X0,bad)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ outputs(X0,good)
| ~ program(X0)
| program(sK4) ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,sK3(X0),sK3(X0))
| ~ halts3(X0,sK3(X0),sK3(X0))
| program(sK4)
| ~ program(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f286,plain,
( spl10_15
| spl10_30 ),
inference(avatar_split_clause,[],[f126,f284,f216]) ).
fof(f126,plain,
! [X3,X0,X4] :
( ~ decides(X0,sK8(X0),sK9(X0))
| ~ program(X4)
| ~ halts2(X4,X3)
| ~ program(X0)
| outputs(X0,good) ),
inference(cnf_transformation,[],[f35]) ).
fof(f282,plain,
( spl10_12
| spl10_29 ),
inference(avatar_split_clause,[],[f123,f280,f206]) ).
fof(f123,plain,
! [X3,X0,X4] :
( ~ program(X0)
| ~ decides(X0,sK8(X0),sK9(X0))
| outputs(X0,bad)
| halts2(X4,X3)
| ~ program(X4) ),
inference(cnf_transformation,[],[f35]) ).
fof(f270,plain,
( spl10_5
| spl10_26 ),
inference(avatar_split_clause,[],[f43,f268,f178]) ).
fof(f43,plain,
! [X0] :
( ~ halts2(sK0(X0),sK0(X0))
| ~ halts2(X0,sK0(X0))
| program(sK1)
| ~ outputs(X0,good)
| ~ program(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f265,plain,
( ~ spl10_1
| ~ spl10_7 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl10_1
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f263,f72]) ).
fof(f72,plain,
algorithm(sK2),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ! [X1] :
( ~ program(X1)
| ! [X2] : decides(sK2,X1,X2) )
& algorithm(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f20,f24]) ).
fof(f24,plain,
( ? [X0] :
( ! [X1] :
( ~ program(X1)
| ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) )
=> ( ! [X1] :
( ~ program(X1)
| ! [X2] : decides(sK2,X1,X2) )
& algorithm(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0] :
( ! [X1] :
( ~ program(X1)
| ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
~ ~ ? [X0] :
( algorithm(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ~ ? [X6] :
( ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) )
& algorithm(X6) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
~ ? [X6] :
( ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) )
& algorithm(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f263,plain,
( ~ algorithm(sK2)
| ~ spl10_1
| ~ spl10_7 ),
inference(resolution,[],[f258,f163]) ).
fof(f163,plain,
( ! [X0] :
( program(sK5(X0))
| ~ algorithm(X0) )
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl10_1
<=> ! [X0] :
( ~ algorithm(X0)
| program(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f258,plain,
( ~ program(sK5(sK2))
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f257,f72]) ).
fof(f257,plain,
( ~ program(sK5(sK2))
| ~ algorithm(sK2)
| ~ spl10_7 ),
inference(resolution,[],[f187,f73]) ).
fof(f73,plain,
! [X2,X1] :
( decides(sK2,X1,X2)
| ~ program(X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f187,plain,
( ! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ algorithm(X0) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl10_7
<=> ! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ algorithm(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f262,plain,
( spl10_5
| spl10_25 ),
inference(avatar_split_clause,[],[f131,f260,f178]) ).
fof(f131,plain,
! [X0] :
( ~ program(X0)
| program(sK1)
| ~ outputs(X0,bad)
| ~ halts2(X0,sK0(X0))
| ~ outputs(X0,good) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ halts2(X0,sK0(X0))
| program(sK1)
| ~ outputs(X0,bad)
| ~ program(X0)
| ~ outputs(X0,good)
| ~ halts2(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f256,plain,
( spl10_9
| spl10_7 ),
inference(avatar_split_clause,[],[f122,f186,f194]) ).
fof(f122,plain,
! [X0,X4,X5] :
( ~ algorithm(X0)
| ~ program(X4)
| decides(sK7,X4,X5)
| ~ decides(X0,sK5(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ! [X0] :
( ~ algorithm(X0)
| ( ~ decides(X0,sK5(X0),sK6(X0))
& program(sK5(X0)) ) )
| ( ! [X4] :
( ! [X5] : decides(sK7,X4,X5)
| ~ program(X4) )
& program(sK7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f19,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) )
=> ( ? [X2] : ~ decides(X0,sK5(X0),X2)
& program(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X2] : ~ decides(X0,sK5(X0),X2)
=> ~ decides(X0,sK5(X0),sK6(X0)) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ? [X3] :
( ! [X4] :
( ! [X5] : decides(X3,X4,X5)
| ~ program(X4) )
& program(X3) )
=> ( ! [X4] :
( ! [X5] : decides(sK7,X4,X5)
| ~ program(X4) )
& program(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ! [X0] :
( ~ algorithm(X0)
| ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) ) )
| ? [X3] :
( ! [X4] :
( ! [X5] : decides(X3,X4,X5)
| ~ program(X4) )
& program(X3) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,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(f251,plain,
( spl10_4
| spl10_22
| spl10_23 ),
inference(avatar_split_clause,[],[f152,f249,f245,f174]) ).
fof(f152,plain,
! [X3,X0] :
( ~ halts2(X3,X3)
| outputs(sK4,good)
| ~ program(X0)
| program(sK3(X0))
| ~ program(X3) ),
inference(subsumption_resolution,[],[f97,f107]) ).
fof(f97,plain,
! [X3,X0] :
( outputs(sK4,good)
| halts2(sK3(X0),sK3(X0))
| ~ program(X3)
| ~ program(X0)
| program(sK3(X0))
| ~ halts2(X3,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f243,plain,
( spl10_21
| spl10_6 ),
inference(avatar_split_clause,[],[f149,f182,f241]) ).
fof(f149,plain,
! [X3,X0] :
( ~ program(X0)
| ~ halts2(sK1,X3)
| ~ halts2(X3,X3)
| program(sK0(X0))
| ~ program(X3) ),
inference(subsumption_resolution,[],[f60,f52]) ).
fof(f52,plain,
! [X3,X0] :
( program(sK0(X0))
| ~ program(X3)
| ~ halts2(sK0(X0),sK0(X0))
| ~ program(X0)
| ~ halts2(sK1,X3)
| ~ halts2(X3,X3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
! [X3,X0] :
( halts2(sK0(X0),sK0(X0))
| ~ program(X0)
| ~ program(X3)
| ~ halts2(sK1,X3)
| program(sK0(X0))
| ~ halts2(X3,X3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f234,plain,
( spl10_6
| spl10_19 ),
inference(avatar_split_clause,[],[f142,f232,f182]) ).
fof(f142,plain,
! [X3,X0] :
( halts2(sK1,X3)
| ~ program(X3)
| ~ program(X0)
| halts2(X3,X3)
| program(sK0(X0)) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X3,X0] :
( halts2(sK1,X3)
| halts2(X3,X3)
| ~ program(X0)
| program(sK0(X0))
| ~ program(X3)
| program(sK0(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f230,plain,
( spl10_17
| spl10_4
| spl10_18 ),
inference(avatar_split_clause,[],[f139,f228,f174,f224]) ).
fof(f139,plain,
! [X3,X0] :
( halts2(X3,X3)
| ~ program(X3)
| ~ program(X0)
| program(sK3(X0))
| outputs(sK4,bad) ),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f90,plain,
! [X3,X0] :
( ~ program(X3)
| outputs(sK4,bad)
| halts2(X3,X3)
| program(sK3(X0))
| ~ program(X0)
| program(sK3(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f218,plain,
( spl10_14
| spl10_15 ),
inference(avatar_split_clause,[],[f130,f216,f213]) ).
fof(f130,plain,
! [X3,X0,X4] :
( ~ halts2(X4,X3)
| outputs(X0,good)
| ~ program(X4)
| ~ program(X0)
| program(sK8(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f211,plain,
( spl10_12
| spl10_13 ),
inference(avatar_split_clause,[],[f127,f209,f206]) ).
fof(f127,plain,
! [X3,X0,X4] :
( program(sK8(X0))
| ~ program(X0)
| outputs(X0,bad)
| ~ program(X4)
| halts2(X4,X3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f196,plain,
( spl10_9
| spl10_1 ),
inference(avatar_split_clause,[],[f120,f162,f194]) ).
fof(f120,plain,
! [X0,X4,X5] :
( program(sK5(X0))
| ~ algorithm(X0)
| ~ program(X4)
| decides(sK7,X4,X5) ),
inference(cnf_transformation,[],[f32]) ).
fof(f192,plain,
( spl10_8
| spl10_4 ),
inference(avatar_split_clause,[],[f159,f174,f190]) ).
fof(f159,plain,
! [X3,X0] :
( program(sK3(X0))
| ~ program(X3)
| ~ program(X0)
| halts2(sK4,X3) ),
inference(subsumption_resolution,[],[f135,f137]) ).
fof(f137,plain,
! [X3,X0] :
( halts2(sK4,X3)
| ~ halts2(X3,X3)
| program(sK3(X0))
| ~ program(X0)
| ~ program(X3) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f93,plain,
! [X3,X0] :
( program(sK3(X0))
| ~ program(X3)
| ~ program(X0)
| ~ halts2(X3,X3)
| program(sK3(X0))
| halts2(sK4,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f135,plain,
! [X3,X0] :
( halts2(X3,X3)
| halts2(sK4,X3)
| ~ program(X0)
| ~ program(X3)
| program(sK3(X0)) ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f91,plain,
! [X3,X0] :
( halts2(X3,X3)
| ~ program(X0)
| program(sK3(X0))
| halts2(sK4,X3)
| ~ program(X3)
| program(sK3(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f188,plain,
( spl10_2
| spl10_7 ),
inference(avatar_split_clause,[],[f121,f186,f165]) ).
fof(f121,plain,
! [X0] :
( ~ decides(X0,sK5(X0),sK6(X0))
| ~ algorithm(X0)
| program(sK7) ),
inference(cnf_transformation,[],[f32]) ).
fof(f184,plain,
( spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f151,f182,f178]) ).
fof(f151,plain,
! [X0] :
( ~ program(X0)
| program(sK1)
| program(sK0(X0)) ),
inference(subsumption_resolution,[],[f55,f63]) ).
fof(f63,plain,
! [X0] :
( ~ program(X0)
| program(sK0(X0))
| program(sK1)
| halts2(sK0(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f55,plain,
! [X0] :
( program(sK0(X0))
| ~ program(X0)
| ~ halts2(sK0(X0),sK0(X0))
| program(sK1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f176,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f150,f174,f170]) ).
fof(f150,plain,
! [X0] :
( ~ program(X0)
| program(sK3(X0))
| program(sK4) ),
inference(subsumption_resolution,[],[f94,f104]) ).
fof(f104,plain,
! [X0] :
( ~ program(X0)
| ~ halts2(sK3(X0),sK3(X0))
| program(sK3(X0))
| program(sK4) ),
inference(cnf_transformation,[],[f28]) ).
fof(f94,plain,
! [X0] :
( program(sK4)
| halts2(sK3(X0),sK3(X0))
| program(sK3(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f168,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f119,f165,f162]) ).
fof(f119,plain,
! [X0] :
( program(sK7)
| ~ algorithm(X0)
| program(sK5(X0)) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:45:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 % (17081)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.46 % (17103)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.48 % (17092)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (17103)First to succeed.
% 0.20/0.49 % (17092)Refutation not found, incomplete strategy% (17092)------------------------------
% 0.20/0.49 % (17092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (17092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (17092)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (17092)Memory used [KB]: 5884
% 0.20/0.49 % (17092)Time elapsed: 0.096 s
% 0.20/0.49 % (17092)Instructions burned: 1 (million)
% 0.20/0.49 % (17092)------------------------------
% 0.20/0.49 % (17092)------------------------------
% 0.20/0.49 % (17075)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.49 % (17088)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (17079)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.50 % (17103)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (17103)------------------------------
% 0.20/0.50 % (17103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (17103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (17103)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (17103)Memory used [KB]: 6268
% 0.20/0.50 % (17103)Time elapsed: 0.114 s
% 0.20/0.50 % (17103)Instructions burned: 14 (million)
% 0.20/0.50 % (17103)------------------------------
% 0.20/0.50 % (17103)------------------------------
% 0.20/0.50 % (17073)Success in time 0.153 s
%------------------------------------------------------------------------------