TSTP Solution File: MED009+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Tue Apr 30 13:53:27 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 155 ( 8 unt; 0 def)
% Number of atoms : 750 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 901 ( 306 ~; 347 |; 173 &)
% ( 15 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 16 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 248 ( 225 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2131,plain,
$false,
inference(avatar_sat_refutation,[],[f419,f504,f597,f609,f668,f849,f1107,f1159,f1252,f1254,f1260,f1269,f1278,f1283,f1334,f2123,f2128]) ).
fof(f2128,plain,
( ~ spl29_33
| ~ spl29_5
| spl29_18
| ~ spl29_31
| ~ spl29_100 ),
inference(avatar_split_clause,[],[f2127,f1280,f595,f501,f413,f606]) ).
fof(f606,plain,
( spl29_33
<=> bcapacityne(sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_33])]) ).
fof(f413,plain,
( spl29_5
<=> s2(sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f501,plain,
( spl29_18
<=> gt(n0,sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).
fof(f595,plain,
( spl29_31
<=> ! [X0] :
( ~ gt(sK9(n0),X0)
| conditionhyper(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_31])]) ).
fof(f1280,plain,
( spl29_100
<=> gt(sK9(n0),sK6(sK9(n0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_100])]) ).
fof(f2127,plain,
( ~ bcapacityne(sK9(n0))
| ~ spl29_5
| spl29_18
| ~ spl29_31
| ~ spl29_100 ),
inference(subsumption_resolution,[],[f2126,f503]) ).
fof(f503,plain,
( ~ gt(n0,sK9(n0))
| spl29_18 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f2126,plain,
( ~ bcapacityne(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_5
| ~ spl29_31
| ~ spl29_100 ),
inference(subsumption_resolution,[],[f2116,f415]) ).
fof(f415,plain,
( s2(sK9(n0))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f2116,plain,
( ~ bcapacityne(sK9(n0))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_31
| ~ spl29_100 ),
inference(resolution,[],[f1574,f206]) ).
fof(f206,plain,
! [X0] :
( ~ conditionhyper(sK6(X0))
| ~ bcapacityne(X0)
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ! [X0] :
( ( ~ bcapacityex(X0)
& ~ bcapacityne(X0) )
| ( ~ conditionhyper(sK6(X0))
& gt(X0,sK6(X0)) )
| ~ s2(X0)
| gt(n0,X0) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& s1(n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f135,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
=> ( ~ conditionhyper(sK6(X0))
& gt(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ! [X0] :
( ( ~ bcapacityex(X0)
& ~ bcapacityne(X0) )
| ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
| ~ s2(X0)
| gt(n0,X0) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& s1(n0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
( ! [X1] :
( ( ~ bcapacityex(X1)
& ~ bcapacityne(X1) )
| ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ s2(X1)
| gt(n0,X1) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& s1(n0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
( ! [X1] :
( ( ~ bcapacityex(X1)
& ~ bcapacityne(X1) )
| ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ s2(X1)
| gt(n0,X1) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& s1(n0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ( ( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& s1(n0) )
=> ? [X1] :
( ( bcapacityex(X1)
| bcapacityne(X1) )
& ! [X2] :
( gt(X1,X2)
=> conditionhyper(X2) )
& s2(X1)
& ~ gt(n0,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X3] :
( gt(n0,X3)
=> conditionhyper(X3) )
& s1(n0) )
=> ? [X3] :
( ( bcapacityex(X3)
| bcapacityne(X3) )
& ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& s2(X3)
& ~ gt(n0,X3) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X3] :
( gt(n0,X3)
=> conditionhyper(X3) )
& s1(n0) )
=> ? [X3] :
( ( bcapacityex(X3)
| bcapacityne(X3) )
& ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& s2(X3)
& ~ gt(n0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transs1s2_qige27) ).
fof(f1574,plain,
( conditionhyper(sK6(sK9(n0)))
| ~ spl29_31
| ~ spl29_100 ),
inference(resolution,[],[f1282,f596]) ).
fof(f596,plain,
( ! [X0] :
( ~ gt(sK9(n0),X0)
| conditionhyper(X0) )
| ~ spl29_31 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1282,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| ~ spl29_100 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f2123,plain,
( ~ spl29_32
| ~ spl29_5
| spl29_18
| ~ spl29_31
| ~ spl29_100 ),
inference(avatar_split_clause,[],[f2122,f1280,f595,f501,f413,f602]) ).
fof(f602,plain,
( spl29_32
<=> bcapacityex(sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_32])]) ).
fof(f2122,plain,
( ~ bcapacityex(sK9(n0))
| ~ spl29_5
| spl29_18
| ~ spl29_31
| ~ spl29_100 ),
inference(subsumption_resolution,[],[f2121,f503]) ).
fof(f2121,plain,
( ~ bcapacityex(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_5
| ~ spl29_31
| ~ spl29_100 ),
inference(subsumption_resolution,[],[f2115,f415]) ).
fof(f2115,plain,
( ~ bcapacityex(sK9(n0))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_31
| ~ spl29_100 ),
inference(resolution,[],[f1574,f208]) ).
fof(f208,plain,
! [X0] :
( ~ conditionhyper(sK6(X0))
| ~ bcapacityex(X0)
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1334,plain,
( spl29_18
| spl29_100
| ~ spl29_5
| ~ spl29_33 ),
inference(avatar_split_clause,[],[f1333,f606,f413,f1280,f501]) ).
fof(f1333,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| gt(n0,sK9(n0))
| ~ spl29_5
| ~ spl29_33 ),
inference(subsumption_resolution,[],[f1319,f415]) ).
fof(f1319,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_33 ),
inference(resolution,[],[f608,f205]) ).
fof(f205,plain,
! [X0] :
( ~ bcapacityne(X0)
| gt(X0,sK6(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f608,plain,
( bcapacityne(sK9(n0))
| ~ spl29_33 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f1283,plain,
( spl29_18
| ~ spl29_5
| spl29_100
| ~ spl29_32 ),
inference(avatar_split_clause,[],[f677,f602,f1280,f413,f501]) ).
fof(f677,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_32 ),
inference(resolution,[],[f604,f207]) ).
fof(f207,plain,
! [X0] :
( ~ bcapacityex(X0)
| gt(X0,sK6(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f604,plain,
( bcapacityex(sK9(n0))
| ~ spl29_32 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1278,plain,
~ spl29_35,
inference(avatar_contradiction_clause,[],[f1277]) ).
fof(f1277,plain,
( $false
| ~ spl29_35 ),
inference(subsumption_resolution,[],[f1273,f203]) ).
fof(f203,plain,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f137]) ).
fof(f1273,plain,
( bcapacitysn(n0)
| ~ spl29_35 ),
inference(resolution,[],[f641,f299]) ).
fof(f299,plain,
! [X0] :
( ~ sP2(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( bsecretioni(X2)
| gt(X0,X2) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f641,plain,
( sP2(n0)
| ~ spl29_35 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl29_35
<=> sP2(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_35])]) ).
fof(f1269,plain,
~ spl29_36,
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1268,plain,
( $false
| ~ spl29_36 ),
inference(subsumption_resolution,[],[f1266,f203]) ).
fof(f1266,plain,
( bcapacitysn(n0)
| ~ spl29_36 ),
inference(resolution,[],[f645,f295]) ).
fof(f295,plain,
! [X0] :
( ~ sP3(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( ~ releaselg(X2)
| gt(X0,X2) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f645,plain,
( sP3(n0)
| ~ spl29_36 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl29_36
<=> sP3(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_36])]) ).
fof(f1260,plain,
( spl29_26
| ~ spl29_34 ),
inference(avatar_split_clause,[],[f1257,f635,f558]) ).
fof(f558,plain,
( spl29_26
<=> ! [X0] :
( gt(n0,X0)
| uptakelg(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_26])]) ).
fof(f635,plain,
( spl29_34
<=> sP5(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_34])]) ).
fof(f1257,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_34 ),
inference(resolution,[],[f637,f286]) ).
fof(f286,plain,
! [X3,X0] :
( ~ sP5(X0)
| gt(X0,X3)
| uptakelg(X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& bcapacityex(X0)
& ! [X2] :
( uptakepg(X2)
| gt(X0,X2) )
& ! [X3] :
( uptakelg(X3)
| gt(X0,X3) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
& ! [X4] :
( uptakelg(X4)
| gt(X0,X4) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
& ! [X4] :
( uptakelg(X4)
| gt(X0,X4) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f637,plain,
( sP5(n0)
| ~ spl29_34 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f1254,plain,
( spl29_34
| spl29_35
| spl29_36
| spl29_37
| ~ spl29_6 ),
inference(avatar_split_clause,[],[f1253,f417,f647,f643,f639,f635]) ).
fof(f647,plain,
( spl29_37
<=> sP4(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_37])]) ).
fof(f417,plain,
( spl29_6
<=> ! [X0] :
( conditionnormo(X0)
| gt(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
fof(f1253,plain,
( sP4(n0)
| sP3(n0)
| sP2(n0)
| sP5(n0)
| ~ spl29_6 ),
inference(subsumption_resolution,[],[f735,f303]) ).
fof(f303,plain,
! [X0] :
( ~ conditionnormo(sK28(X0))
| sP4(X0)
| sP3(X0)
| sP2(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( sP5(X0)
| sP4(X0)
| sP3(X0)
| sP2(X0)
| ( ~ conditionnormo(sK28(X0))
& ~ gt(X0,sK28(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f134,f199]) ).
fof(f199,plain,
! [X0] :
( ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) )
=> ( ~ conditionnormo(sK28(X0))
& ~ gt(X0,sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( sP5(X0)
| sP4(X0)
| sP3(X0)
| sP2(X0)
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(definition_folding,[],[f119,f133,f132,f131,f130]) ).
fof(f132,plain,
! [X0] :
( ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f119,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
& ! [X4] :
( uptakelg(X4)
| gt(X0,X4) ) )
| ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
& ! [X4] :
( uptakelg(X4)
| gt(X0,X4) ) )
| ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
=> ( ( ! [X2] :
( gt(X0,X2)
=> conditionhyper(X2) )
& bcapacityex(X0)
& ! [X3] :
( ~ gt(X0,X3)
=> uptakepg(X3) )
& ! [X4] :
( ~ gt(X0,X4)
=> uptakelg(X4) ) )
| ( ! [X5] :
( gt(X0,X5)
=> conditionhyper(X5) )
& ! [X6] :
( ~ gt(X0,X6)
=> bsecretioni(X6) )
& bcapacityne(X0)
& ( ! [X7] :
( ~ gt(X0,X7)
=> uptakepg(X7) )
| ! [X8] :
( ~ gt(X0,X8)
=> ~ releaselg(X8) ) ) )
| ( ! [X9] :
( gt(X0,X9)
=> conditionhyper(X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ gt(X0,X10)
=> ~ releaselg(X10) ) )
| ( ! [X11] :
( gt(X0,X11)
=> conditionhyper(X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( ~ gt(X0,X12)
=> bsecretioni(X12) ) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ! [X4] :
( ~ gt(X3,X4)
=> conditionnormo(X4) )
=> ( ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& bcapacityex(X3)
& ! [X4] :
( ~ gt(X3,X4)
=> uptakepg(X4) )
& ! [X4] :
( ~ gt(X3,X4)
=> uptakelg(X4) ) )
| ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(X3,X4)
=> bsecretioni(X4) )
& bcapacityne(X3)
& ( ! [X4] :
( ~ gt(X3,X4)
=> uptakepg(X4) )
| ! [X4] :
( ~ gt(X3,X4)
=> ~ releaselg(X4) ) ) )
| ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& ~ qilt27(X3)
& bcapacitysn(X3)
& ! [X4] :
( ~ gt(X3,X4)
=> ~ releaselg(X4) ) )
| ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& qilt27(X3)
& bcapacitysn(X3)
& ! [X4] :
( ~ gt(X3,X4)
=> bsecretioni(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normo) ).
fof(f735,plain,
( conditionnormo(sK28(n0))
| sP4(n0)
| sP3(n0)
| sP2(n0)
| sP5(n0)
| ~ spl29_6 ),
inference(resolution,[],[f418,f302]) ).
fof(f302,plain,
! [X0] :
( ~ gt(X0,sK28(X0))
| sP4(X0)
| sP3(X0)
| sP2(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f418,plain,
( ! [X0] :
( gt(n0,X0)
| conditionnormo(X0) )
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f1252,plain,
( spl29_26
| ~ spl29_29 ),
inference(avatar_split_clause,[],[f1245,f572,f558]) ).
fof(f572,plain,
( spl29_29
<=> ! [X0] :
( gt(n0,X0)
| ~ releaselg(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_29])]) ).
fof(f1245,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_29 ),
inference(resolution,[],[f573,f326]) ).
fof(f326,plain,
! [X0] :
( releaselg(X0)
| uptakelg(X0) ),
inference(resolution,[],[f304,f209]) ).
fof(f209,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f304,plain,
! [X0,X1] :
( gt(X0,X1)
| releaselg(X1)
| uptakelg(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( uptakelg(X1)
| releaselg(X1)
| gt(X0,X1) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( uptakelg(X1)
| releaselg(X1)
| gt(X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ gt(X0,X1)
=> ( ~ releaselg(X1)
=> uptakelg(X1) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X3,X4] :
( ~ gt(X3,X4)
=> ( ~ releaselg(X4)
=> uptakelg(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uptake_completion) ).
fof(f573,plain,
( ! [X0] :
( ~ releaselg(X0)
| gt(n0,X0) )
| ~ spl29_29 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1159,plain,
( spl29_19
| ~ spl29_26 ),
inference(avatar_split_clause,[],[f1158,f558,f529]) ).
fof(f529,plain,
( spl29_19
<=> ! [X0] :
( gt(n0,X0)
| drugi(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
fof(f1158,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_26 ),
inference(subsumption_resolution,[],[f1138,f271]) ).
fof(f271,plain,
! [X0,X1] :
( ~ uptakelg(sK23(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( drugi(X1)
| gt(X0,X1) )
| ( ~ uptakepg(sK22(X0))
& ~ gt(X0,sK22(X0))
& ~ uptakelg(sK23(X0))
& ~ gt(X0,sK23(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f175,f177,f176]) ).
fof(f176,plain,
! [X0] :
( ? [X2] :
( ~ uptakepg(X2)
& ~ gt(X0,X2) )
=> ( ~ uptakepg(sK22(X0))
& ~ gt(X0,sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0] :
( ? [X3] :
( ~ uptakelg(X3)
& ~ gt(X0,X3) )
=> ( ~ uptakelg(sK23(X0))
& ~ gt(X0,sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( drugi(X1)
| gt(X0,X1) )
| ( ? [X2] :
( ~ uptakepg(X2)
& ~ gt(X0,X2) )
& ? [X3] :
( ~ uptakelg(X3)
& ~ gt(X0,X3) ) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X3] :
( drugi(X3)
| gt(X0,X3) )
| ( ? [X1] :
( ~ uptakepg(X1)
& ~ gt(X0,X1) )
& ? [X2] :
( ~ uptakelg(X2)
& ~ gt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) )
| ! [X2] :
( ~ gt(X0,X2)
=> uptakelg(X2) ) )
=> ! [X3] :
( ~ gt(X0,X3)
=> drugi(X3) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X3] :
( ( ! [X4] :
( ~ gt(X3,X4)
=> uptakepg(X4) )
| ! [X4] :
( ~ gt(X3,X4)
=> uptakelg(X4) ) )
=> ! [X4] :
( ~ gt(X3,X4)
=> drugi(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insulin_completion) ).
fof(f1138,plain,
( ! [X0] :
( uptakelg(sK23(n0))
| gt(n0,X0)
| drugi(X0) )
| ~ spl29_26 ),
inference(resolution,[],[f559,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ gt(X0,sK23(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f559,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_26 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f1107,plain,
( spl29_19
| ~ spl29_24 ),
inference(avatar_split_clause,[],[f1106,f550,f529]) ).
fof(f550,plain,
( spl29_24
<=> ! [X0] :
( gt(n0,X0)
| uptakepg(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_24])]) ).
fof(f1106,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_24 ),
inference(subsumption_resolution,[],[f1091,f273]) ).
fof(f273,plain,
! [X0,X1] :
( ~ uptakepg(sK22(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f1091,plain,
( ! [X0] :
( uptakepg(sK22(n0))
| gt(n0,X0)
| drugi(X0) )
| ~ spl29_24 ),
inference(resolution,[],[f551,f272]) ).
fof(f272,plain,
! [X0,X1] :
( ~ gt(X0,sK22(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f551,plain,
( ! [X0] :
( gt(n0,X0)
| uptakepg(X0) )
| ~ spl29_24 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f849,plain,
~ spl29_19,
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f848,plain,
( $false
| ~ spl29_19 ),
inference(subsumption_resolution,[],[f845,f201]) ).
fof(f201,plain,
s1(n0),
inference(cnf_transformation,[],[f137]) ).
fof(f845,plain,
( ~ s1(n0)
| ~ spl29_19 ),
inference(resolution,[],[f843,f219]) ).
fof(f219,plain,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( ~ s3(X3)
| ~ s1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep6) ).
fof(f843,plain,
( s3(n0)
| ~ spl29_19 ),
inference(resolution,[],[f800,f225]) ).
fof(f225,plain,
! [X0] :
( ~ drugi(X0)
| s3(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( s3(X0)
| ~ drugi(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( drugi(X0)
=> s3(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X3] :
( drugi(X3)
=> s3(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insulincomp) ).
fof(f800,plain,
( drugi(n0)
| ~ spl29_19 ),
inference(resolution,[],[f530,f209]) ).
fof(f530,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f668,plain,
( spl29_29
| spl29_24
| ~ spl29_37 ),
inference(avatar_split_clause,[],[f664,f647,f550,f572]) ).
fof(f664,plain,
( ! [X0,X1] :
( gt(n0,X0)
| ~ releaselg(X1)
| gt(n0,X1)
| uptakepg(X0) )
| ~ spl29_37 ),
inference(resolution,[],[f649,f290]) ).
fof(f290,plain,
! [X3,X0,X4] :
( ~ sP4(X0)
| gt(X0,X3)
| ~ releaselg(X4)
| gt(X0,X4)
| uptakepg(X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& ! [X2] :
( bsecretioni(X2)
| gt(X0,X2) )
& bcapacityne(X0)
& ( ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
| ! [X4] :
( ~ releaselg(X4)
| gt(X0,X4) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f132]) ).
fof(f649,plain,
( sP4(n0)
| ~ spl29_37 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f609,plain,
( spl29_32
| spl29_6
| spl29_33 ),
inference(avatar_split_clause,[],[f598,f606,f417,f602]) ).
fof(f598,plain,
! [X0] :
( bcapacityne(sK9(n0))
| conditionnormo(X0)
| gt(n0,X0)
| bcapacityex(sK9(n0)) ),
inference(resolution,[],[f245,f201]) ).
fof(f245,plain,
! [X3,X0] :
( ~ s1(X0)
| bcapacityne(sK9(X0))
| conditionnormo(X3)
| gt(X0,X3)
| bcapacityex(sK9(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( ( bcapacityex(sK9(X0))
| bcapacityne(sK9(X0)) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(sK9(X0),X2) )
& s2(sK9(X0))
& ~ gt(X0,sK9(X0)) )
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) )
| ~ s1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f144,f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( ( bcapacityex(X1)
| bcapacityne(X1) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X1,X2) )
& s2(X1)
& ~ gt(X0,X1) )
=> ( ( bcapacityex(sK9(X0))
| bcapacityne(sK9(X0)) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(sK9(X0),X2) )
& s2(sK9(X0))
& ~ gt(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( ( bcapacityex(X1)
| bcapacityne(X1) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X1,X2) )
& s2(X1)
& ~ gt(X0,X1) )
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) )
| ~ s1(X0) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ? [X2] :
( ( bcapacityex(X2)
| bcapacityne(X2) )
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& s2(X2)
& ~ gt(X0,X2) )
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ~ s1(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ? [X2] :
( ( bcapacityex(X2)
| bcapacityne(X2) )
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& s2(X2)
& ~ gt(X0,X2) )
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ~ s1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( ~ ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
& s1(X0) )
=> ? [X2] :
( ( bcapacityex(X2)
| bcapacityne(X2) )
& ! [X3] :
( gt(X2,X3)
=> conditionhyper(X3) )
& s2(X2)
& ~ gt(X0,X2) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X3] :
( ( ~ ! [X4] :
( ~ gt(X3,X4)
=> conditionnormo(X4) )
& s1(X3) )
=> ? [X4] :
( ( bcapacityex(X4)
| bcapacityne(X4) )
& ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& s2(X4)
& ~ gt(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_ax2) ).
fof(f597,plain,
( spl29_6
| spl29_31 ),
inference(avatar_split_clause,[],[f591,f595,f417]) ).
fof(f591,plain,
! [X0,X1] :
( ~ gt(sK9(n0),X0)
| conditionnormo(X1)
| gt(n0,X1)
| conditionhyper(X0) ),
inference(resolution,[],[f244,f201]) ).
fof(f244,plain,
! [X2,X3,X0] :
( ~ s1(X0)
| ~ gt(sK9(X0),X2)
| conditionnormo(X3)
| gt(X0,X3)
| conditionhyper(X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f504,plain,
( ~ spl29_18
| spl29_6 ),
inference(avatar_split_clause,[],[f497,f417,f501]) ).
fof(f497,plain,
! [X0] :
( conditionnormo(X0)
| gt(n0,X0)
| ~ gt(n0,sK9(n0)) ),
inference(resolution,[],[f242,f201]) ).
fof(f242,plain,
! [X3,X0] :
( ~ s1(X0)
| conditionnormo(X3)
| gt(X0,X3)
| ~ gt(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f419,plain,
( spl29_5
| spl29_6 ),
inference(avatar_split_clause,[],[f409,f417,f413]) ).
fof(f409,plain,
! [X0] :
( conditionnormo(X0)
| gt(n0,X0)
| s2(sK9(n0)) ),
inference(resolution,[],[f243,f201]) ).
fof(f243,plain,
! [X3,X0] :
( ~ s1(X0)
| conditionnormo(X3)
| gt(X0,X3)
| s2(sK9(X0)) ),
inference(cnf_transformation,[],[f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 23:14:46 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (3837)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (3839)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (3838)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (3841)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (3840)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (3842)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (3844)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (3843)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.21/0.39 TRYING [5]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.40 TRYING [5]
% 0.21/0.40 TRYING [6]
% 0.21/0.40 % (3843)First to succeed.
% 0.21/0.41 TRYING [5]
% 0.21/0.41 % (3843)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (3843)------------------------------
% 0.21/0.41 % (3843)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (3843)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (3843)Memory used [KB]: 1548
% 0.21/0.41 % (3843)Time elapsed: 0.035 s
% 0.21/0.41 % (3843)Instructions burned: 57 (million)
% 0.21/0.41 % (3843)------------------------------
% 0.21/0.41 % (3843)------------------------------
% 0.21/0.41 % (3837)Success in time 0.052 s
%------------------------------------------------------------------------------