TSTP Solution File: MED007+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MED007+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 : n017.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 : Sun May 5 07:56:26 EDT 2024
% Result : Theorem 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 33
% Syntax : Number of formulae : 158 ( 8 unt; 0 def)
% Number of atoms : 756 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 899 ( 301 ~; 349 |; 173 &)
% ( 16 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 17 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 248 ( 225 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1919,plain,
$false,
inference(avatar_sat_refutation,[],[f426,f518,f611,f623,f664,f686,f692,f702,f722,f1175,f1205,f1248,f1308,f1339,f1344,f1379,f1912,f1917]) ).
fof(f1917,plain,
( ~ spl29_34
| ~ spl29_5
| spl29_19
| ~ spl29_32
| ~ spl29_101 ),
inference(avatar_split_clause,[],[f1916,f1341,f609,f515,f420,f620]) ).
fof(f620,plain,
( spl29_34
<=> bcapacityne(sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_34])]) ).
fof(f420,plain,
( spl29_5
<=> s2(sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f515,plain,
( spl29_19
<=> gt(n0,sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
fof(f609,plain,
( spl29_32
<=> ! [X0] :
( ~ gt(sK9(n0),X0)
| conditionhyper(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_32])]) ).
fof(f1341,plain,
( spl29_101
<=> gt(sK9(n0),sK6(sK9(n0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_101])]) ).
fof(f1916,plain,
( ~ bcapacityne(sK9(n0))
| ~ spl29_5
| spl29_19
| ~ spl29_32
| ~ spl29_101 ),
inference(subsumption_resolution,[],[f1915,f517]) ).
fof(f517,plain,
( ~ gt(n0,sK9(n0))
| spl29_19 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1915,plain,
( ~ bcapacityne(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_5
| ~ spl29_32
| ~ spl29_101 ),
inference(subsumption_resolution,[],[f1905,f422]) ).
fof(f422,plain,
( s2(sK9(n0))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f1905,plain,
( ~ bcapacityne(sK9(n0))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_32
| ~ spl29_101 ),
inference(resolution,[],[f1678,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/sandbox/benchmark/theBenchmark.p',transs1s2_qilt27) ).
fof(f1678,plain,
( conditionhyper(sK6(sK9(n0)))
| ~ spl29_32
| ~ spl29_101 ),
inference(resolution,[],[f1343,f610]) ).
fof(f610,plain,
( ! [X0] :
( ~ gt(sK9(n0),X0)
| conditionhyper(X0) )
| ~ spl29_32 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f1343,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| ~ spl29_101 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1912,plain,
( ~ spl29_33
| ~ spl29_5
| spl29_19
| ~ spl29_32
| ~ spl29_101 ),
inference(avatar_split_clause,[],[f1911,f1341,f609,f515,f420,f616]) ).
fof(f616,plain,
( spl29_33
<=> bcapacityex(sK9(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_33])]) ).
fof(f1911,plain,
( ~ bcapacityex(sK9(n0))
| ~ spl29_5
| spl29_19
| ~ spl29_32
| ~ spl29_101 ),
inference(subsumption_resolution,[],[f1910,f517]) ).
fof(f1910,plain,
( ~ bcapacityex(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_5
| ~ spl29_32
| ~ spl29_101 ),
inference(subsumption_resolution,[],[f1904,f422]) ).
fof(f1904,plain,
( ~ bcapacityex(sK9(n0))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_32
| ~ spl29_101 ),
inference(resolution,[],[f1678,f208]) ).
fof(f208,plain,
! [X0] :
( ~ conditionhyper(sK6(X0))
| ~ bcapacityex(X0)
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1379,plain,
( spl29_19
| spl29_101
| ~ spl29_5
| ~ spl29_34 ),
inference(avatar_split_clause,[],[f1378,f620,f420,f1341,f515]) ).
fof(f1378,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| gt(n0,sK9(n0))
| ~ spl29_5
| ~ spl29_34 ),
inference(subsumption_resolution,[],[f1364,f422]) ).
fof(f1364,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_34 ),
inference(resolution,[],[f622,f205]) ).
fof(f205,plain,
! [X0] :
( ~ bcapacityne(X0)
| gt(X0,sK6(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f622,plain,
( bcapacityne(sK9(n0))
| ~ spl29_34 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f1344,plain,
( spl29_19
| ~ spl29_5
| spl29_101
| ~ spl29_33 ),
inference(avatar_split_clause,[],[f727,f616,f1341,f420,f515]) ).
fof(f727,plain,
( gt(sK9(n0),sK6(sK9(n0)))
| ~ s2(sK9(n0))
| gt(n0,sK9(n0))
| ~ spl29_33 ),
inference(resolution,[],[f618,f207]) ).
fof(f207,plain,
! [X0] :
( ~ bcapacityex(X0)
| gt(X0,sK6(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f618,plain,
( bcapacityex(sK9(n0))
| ~ spl29_33 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f1339,plain,
~ spl29_75,
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl29_75 ),
inference(subsumption_resolution,[],[f1335,f201]) ).
fof(f201,plain,
s1(n0),
inference(cnf_transformation,[],[f137]) ).
fof(f1335,plain,
( ~ s1(n0)
| ~ spl29_75 ),
inference(resolution,[],[f996,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/sandbox/benchmark/theBenchmark.p',xorstep6) ).
fof(f996,plain,
( s3(n0)
| ~ spl29_75 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f994,plain,
( spl29_75
<=> s3(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_75])]) ).
fof(f1308,plain,
( spl29_75
| ~ spl29_20 ),
inference(avatar_split_clause,[],[f1307,f542,f994]) ).
fof(f542,plain,
( spl29_20
<=> ! [X0] :
( gt(n0,X0)
| drugi(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
fof(f1307,plain,
( s3(n0)
| ~ spl29_20 ),
inference(resolution,[],[f1287,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/sandbox/benchmark/theBenchmark.p',insulincomp) ).
fof(f1287,plain,
( drugi(n0)
| ~ spl29_20 ),
inference(resolution,[],[f543,f209]) ).
fof(f209,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f543,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1248,plain,
( spl29_20
| ~ spl29_25 ),
inference(avatar_split_clause,[],[f1247,f563,f542]) ).
fof(f563,plain,
( spl29_25
<=> ! [X0] :
( gt(n0,X0)
| uptakepg(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_25])]) ).
fof(f1247,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_25 ),
inference(subsumption_resolution,[],[f1230,f273]) ).
fof(f273,plain,
! [X0,X1] :
( ~ uptakepg(sK22(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/sandbox/benchmark/theBenchmark.p',insulin_completion) ).
fof(f1230,plain,
( ! [X0] :
( uptakepg(sK22(n0))
| gt(n0,X0)
| drugi(X0) )
| ~ spl29_25 ),
inference(resolution,[],[f564,f272]) ).
fof(f272,plain,
! [X0,X1] :
( ~ gt(X0,sK22(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f564,plain,
( ! [X0] :
( gt(n0,X0)
| uptakepg(X0) )
| ~ spl29_25 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1205,plain,
( spl29_20
| ~ spl29_27 ),
inference(avatar_split_clause,[],[f1204,f571,f542]) ).
fof(f571,plain,
( spl29_27
<=> ! [X0] :
( gt(n0,X0)
| uptakelg(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_27])]) ).
fof(f1204,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_27 ),
inference(subsumption_resolution,[],[f1184,f271]) ).
fof(f271,plain,
! [X0,X1] :
( ~ uptakelg(sK23(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f1184,plain,
( ! [X0] :
( uptakelg(sK23(n0))
| gt(n0,X0)
| drugi(X0) )
| ~ spl29_27 ),
inference(resolution,[],[f572,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ gt(X0,sK23(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f572,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_27 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f1175,plain,
( spl29_27
| ~ spl29_30 ),
inference(avatar_split_clause,[],[f1167,f585,f571]) ).
fof(f585,plain,
( spl29_30
<=> ! [X0] :
( gt(n0,X0)
| ~ releaselg(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_30])]) ).
fof(f1167,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_30 ),
inference(resolution,[],[f586,f327]) ).
fof(f327,plain,
! [X0] :
( releaselg(X0)
| uptakelg(X0) ),
inference(resolution,[],[f304,f209]) ).
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/sandbox/benchmark/theBenchmark.p',uptake_completion) ).
fof(f586,plain,
( ! [X0] :
( ~ releaselg(X0)
| gt(n0,X0) )
| ~ spl29_30 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f722,plain,
( spl29_30
| spl29_25
| ~ spl29_38 ),
inference(avatar_split_clause,[],[f718,f661,f563,f585]) ).
fof(f661,plain,
( spl29_38
<=> sP4(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_38])]) ).
fof(f718,plain,
( ! [X0,X1] :
( gt(n0,X0)
| ~ releaselg(X1)
| gt(n0,X1)
| uptakepg(X0) )
| ~ spl29_38 ),
inference(resolution,[],[f663,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(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(f663,plain,
( sP4(n0)
| ~ spl29_38 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f702,plain,
~ spl29_37,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl29_37 ),
inference(subsumption_resolution,[],[f697,f203]) ).
fof(f203,plain,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f137]) ).
fof(f697,plain,
( bcapacitysn(n0)
| ~ spl29_37 ),
inference(resolution,[],[f659,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(f659,plain,
( sP3(n0)
| ~ spl29_37 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl29_37
<=> sP3(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_37])]) ).
fof(f692,plain,
( spl29_27
| ~ spl29_35 ),
inference(avatar_split_clause,[],[f689,f649,f571]) ).
fof(f649,plain,
( spl29_35
<=> sP5(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_35])]) ).
fof(f689,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_35 ),
inference(resolution,[],[f651,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(f651,plain,
( sP5(n0)
| ~ spl29_35 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f686,plain,
~ spl29_36,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl29_36 ),
inference(subsumption_resolution,[],[f684,f203]) ).
fof(f684,plain,
( bcapacitysn(n0)
| ~ spl29_36 ),
inference(resolution,[],[f655,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(f655,plain,
( sP2(n0)
| ~ spl29_36 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl29_36
<=> sP2(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_36])]) ).
fof(f664,plain,
( spl29_35
| spl29_36
| spl29_37
| spl29_38
| ~ spl29_6 ),
inference(avatar_split_clause,[],[f647,f424,f661,f657,f653,f649]) ).
fof(f424,plain,
( spl29_6
<=> ! [X0] :
( conditionnormo(X0)
| gt(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
fof(f647,plain,
( sP4(n0)
| sP3(n0)
| sP2(n0)
| sP5(n0)
| ~ spl29_6 ),
inference(subsumption_resolution,[],[f642,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(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/sandbox/benchmark/theBenchmark.p',normo) ).
fof(f642,plain,
( conditionnormo(sK28(n0))
| sP4(n0)
| sP3(n0)
| sP2(n0)
| sP5(n0)
| ~ spl29_6 ),
inference(resolution,[],[f425,f302]) ).
fof(f302,plain,
! [X0] :
( ~ gt(X0,sK28(X0))
| sP4(X0)
| sP3(X0)
| sP2(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f425,plain,
( ! [X0] :
( gt(n0,X0)
| conditionnormo(X0) )
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f623,plain,
( spl29_33
| spl29_6
| spl29_34 ),
inference(avatar_split_clause,[],[f612,f620,f424,f616]) ).
fof(f612,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/sandbox/benchmark/theBenchmark.p',trans_ax2) ).
fof(f611,plain,
( spl29_6
| spl29_32 ),
inference(avatar_split_clause,[],[f605,f609,f424]) ).
fof(f605,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(f518,plain,
( ~ spl29_19
| spl29_6 ),
inference(avatar_split_clause,[],[f511,f424,f515]) ).
fof(f511,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(f426,plain,
( spl29_5
| spl29_6 ),
inference(avatar_split_clause,[],[f416,f424,f420]) ).
fof(f416,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
% 0.00/0.09 % Problem : MED007+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 13:33:21 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (20133)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (20135)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (20140)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)
% 0.15/0.33 % (20138)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (20136)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)
% 0.15/0.33 % (20137)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (20139)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (20134)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [5]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [5]
% 0.15/0.34 TRYING [4]
% 0.15/0.35 % (20139)First to succeed.
% 0.15/0.35 % (20139)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20133"
% 0.15/0.35 TRYING [6]
% 0.15/0.35 % (20139)Refutation found. Thanks to Tanya!
% 0.15/0.35 % SZS status Theorem for theBenchmark
% 0.15/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.35 % (20139)------------------------------
% 0.15/0.35 % (20139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.35 % (20139)Termination reason: Refutation
% 0.15/0.35
% 0.15/0.35 % (20139)Memory used [KB]: 1414
% 0.15/0.35 % (20139)Time elapsed: 0.026 s
% 0.15/0.35 % (20139)Instructions burned: 48 (million)
% 0.15/0.35 % (20133)Success in time 0.043 s
%------------------------------------------------------------------------------