TSTP Solution File: MED005+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MED005+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 : n024.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 07:56:25 EDT 2024
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 39
% Syntax : Number of formulae : 174 ( 7 unt; 0 def)
% Number of atoms : 746 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 865 ( 293 ~; 329 |; 156 &)
% ( 17 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 39 usr; 18 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 275 ( 249 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3507,plain,
$false,
inference(avatar_sat_refutation,[],[f400,f478,f602,f612,f828,f1236,f1249,f1375,f1404,f1439,f1446,f1473,f1521,f1533,f1551,f1586,f3494,f3498]) ).
fof(f3498,plain,
( ~ spl29_5
| spl29_7
| ~ spl29_8
| ~ spl29_36 ),
inference(avatar_split_clause,[],[f3497,f600,f410,f406,f394]) ).
fof(f394,plain,
( spl29_5
<=> s1(sK7(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f406,plain,
( spl29_7
<=> gt(n0,sK7(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).
fof(f410,plain,
( spl29_8
<=> gt(sK7(n0),sK6(sK7(n0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f600,plain,
( spl29_36
<=> ! [X0] :
( ~ gt(sK7(n0),X0)
| conditionhyper(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_36])]) ).
fof(f3497,plain,
( ~ s1(sK7(n0))
| spl29_7
| ~ spl29_8
| ~ spl29_36 ),
inference(subsumption_resolution,[],[f3221,f407]) ).
fof(f407,plain,
( ~ gt(n0,sK7(n0))
| spl29_7 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f3221,plain,
( ~ s1(sK7(n0))
| gt(n0,sK7(n0))
| ~ spl29_8
| ~ spl29_36 ),
inference(resolution,[],[f1537,f204]) ).
fof(f204,plain,
! [X0] :
( ~ conditionhyper(sK6(X0))
| ~ s1(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ! [X0] :
( ( ~ conditionhyper(sK6(X0))
& gt(X0,sK6(X0)) )
| ~ s1(X0)
| gt(n0,X0) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& s0(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] :
( ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
| ~ s1(X0)
| gt(n0,X0) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& s0(n0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
( ! [X1] :
( ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ s1(X1)
| gt(n0,X1) )
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& s0(n0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
( ! [X1] :
( ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ s1(X1)
| gt(n0,X1) )
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& s0(n0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ( ( ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& s0(n0) )
=> ? [X1] :
( ! [X2] :
( gt(X1,X2)
=> conditionhyper(X2) )
& s1(X1)
& ~ gt(n0,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( ! [X3] :
( gt(n0,X3)
=> conditionhyper(X3) )
& s0(n0) )
=> ? [X3] :
( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& s1(X3)
& ~ gt(n0,X3) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( ! [X3] :
( gt(n0,X3)
=> conditionhyper(X3) )
& s0(n0) )
=> ? [X3] :
( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& s1(X3)
& ~ gt(n0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transs0s1) ).
fof(f1537,plain,
( conditionhyper(sK6(sK7(n0)))
| ~ spl29_8
| ~ spl29_36 ),
inference(resolution,[],[f412,f601]) ).
fof(f601,plain,
( ! [X0] :
( ~ gt(sK7(n0),X0)
| conditionhyper(X0) )
| ~ spl29_36 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f412,plain,
( gt(sK7(n0),sK6(sK7(n0)))
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f3494,plain,
( spl29_28
| ~ spl29_103 ),
inference(avatar_split_clause,[],[f3488,f1436,f559]) ).
fof(f559,plain,
( spl29_28
<=> ! [X0] :
( gt(n0,X0)
| uptakelg(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_28])]) ).
fof(f1436,plain,
( spl29_103
<=> ! [X1] :
( ~ releaselg(X1)
| gt(n0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_103])]) ).
fof(f3488,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_103 ),
inference(resolution,[],[f1437,f308]) ).
fof(f308,plain,
! [X0] :
( releaselg(X0)
| uptakelg(X0) ),
inference(resolution,[],[f300,f205]) ).
fof(f205,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(f300,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(f1437,plain,
( ! [X1] :
( ~ releaselg(X1)
| gt(n0,X1) )
| ~ spl29_103 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1586,plain,
( spl29_103
| ~ spl29_33 ),
inference(avatar_split_clause,[],[f1583,f580,f1436]) ).
fof(f580,plain,
( spl29_33
<=> sP3(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_33])]) ).
fof(f1583,plain,
( ! [X0] :
( gt(n0,X0)
| ~ releaselg(X0) )
| ~ spl29_33 ),
inference(resolution,[],[f582,f290]) ).
fof(f290,plain,
! [X2,X0] :
( ~ sP3(X0)
| gt(X0,X2)
| ~ releaselg(X2) ),
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(f582,plain,
( sP3(n0)
| ~ spl29_33 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f1551,plain,
~ spl29_88,
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1550,plain,
( $false
| ~ spl29_88 ),
inference(subsumption_resolution,[],[f1542,f201]) ).
fof(f201,plain,
s0(n0),
inference(cnf_transformation,[],[f137]) ).
fof(f1542,plain,
( ~ s0(n0)
| ~ spl29_88 ),
inference(resolution,[],[f1179,f208]) ).
fof(f208,plain,
! [X0] :
( ~ s1(X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ s1(X0)
| ~ s0(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] :
( ~ s1(X3)
| ~ s0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep2) ).
fof(f1179,plain,
( s1(n0)
| ~ spl29_88 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1177,plain,
( spl29_88
<=> s1(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_88])]) ).
fof(f1533,plain,
~ spl29_89,
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1532,plain,
( $false
| ~ spl29_89 ),
inference(subsumption_resolution,[],[f1524,f201]) ).
fof(f1524,plain,
( ~ s0(n0)
| ~ spl29_89 ),
inference(resolution,[],[f1183,f207]) ).
fof(f207,plain,
! [X0] :
( ~ s2(X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ s2(X0)
| ~ s0(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( ~ s2(X3)
| ~ s0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep3) ).
fof(f1183,plain,
( s2(n0)
| ~ spl29_89 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1181,plain,
( spl29_89
<=> s2(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_89])]) ).
fof(f1521,plain,
( spl29_88
| spl29_89
| ~ spl29_29
| spl29_87 ),
inference(avatar_split_clause,[],[f1520,f1173,f563,f1181,f1177]) ).
fof(f563,plain,
( spl29_29
<=> ! [X0] :
( gt(n0,X0)
| drugsu(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_29])]) ).
fof(f1173,plain,
( spl29_87
<=> s3(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_87])]) ).
fof(f1520,plain,
( s2(n0)
| s1(n0)
| ~ spl29_29
| spl29_87 ),
inference(subsumption_resolution,[],[f1519,f1174]) ).
fof(f1174,plain,
( ~ s3(n0)
| spl29_87 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1519,plain,
( s2(n0)
| s1(n0)
| s3(n0)
| ~ spl29_29 ),
inference(resolution,[],[f1482,f224]) ).
fof(f224,plain,
! [X0] :
( ~ drugsu(X0)
| s2(X0)
| s1(X0)
| s3(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( s3(X0)
| s2(X0)
| s1(X0)
| ~ drugsu(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( s3(X0)
| s2(X0)
| s1(X0)
| ~ drugsu(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( drugsu(X0)
=> ( s3(X0)
| s2(X0)
| s1(X0) ) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f61,plain,
! [X0] :
( drugsu(X0)
=> ( s3(X0)
| s2(X0)
| ( qillt27(X0)
& s1(X0) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X3] :
( drugsu(X3)
=> ( s3(X3)
| s2(X3)
| ( qillt27(X3)
& s1(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sucomp) ).
fof(f1482,plain,
( drugsu(n0)
| ~ spl29_29 ),
inference(resolution,[],[f564,f205]) ).
fof(f564,plain,
( ! [X0] :
( gt(n0,X0)
| drugsu(X0) )
| ~ spl29_29 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1473,plain,
( spl29_29
| ~ spl29_19 ),
inference(avatar_split_clause,[],[f1472,f522,f563]) ).
fof(f522,plain,
( spl29_19
<=> ! [X0] :
( gt(n0,X0)
| bsecretioni(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
fof(f1472,plain,
( ! [X0] :
( gt(n0,X0)
| drugsu(X0) )
| ~ spl29_19 ),
inference(subsumption_resolution,[],[f1463,f277]) ).
fof(f277,plain,
! [X0,X1] :
( ~ bsecretioni(sK26(X0))
| gt(X0,X1)
| drugsu(X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( ~ bcapacityex(X0)
& ! [X1] :
( drugsu(X1)
| gt(X0,X1) ) )
| ( ~ bsecretioni(sK26(X0))
& ~ gt(X0,sK26(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f185,f186]) ).
fof(f186,plain,
! [X0] :
( ? [X2] :
( ~ bsecretioni(X2)
& ~ gt(X0,X2) )
=> ( ~ bsecretioni(sK26(X0))
& ~ gt(X0,sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X0] :
( ( ~ bcapacityex(X0)
& ! [X1] :
( drugsu(X1)
| gt(X0,X1) ) )
| ? [X2] :
( ~ bsecretioni(X2)
& ~ gt(X0,X2) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( ~ bcapacityex(X0)
& ! [X2] :
( drugsu(X2)
| gt(X0,X2) ) )
| ? [X1] :
( ~ bsecretioni(X1)
& ~ gt(X0,X1) ) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) )
=> ( ~ bcapacityex(X0)
& ! [X2] :
( ~ gt(X0,X2)
=> drugsu(X2) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X3] :
( ! [X4] :
( ~ gt(X3,X4)
=> bsecretioni(X4) )
=> ( ~ bcapacityex(X3)
& ! [X4] :
( ~ gt(X3,X4)
=> drugsu(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',su_completion) ).
fof(f1463,plain,
( ! [X0] :
( bsecretioni(sK26(n0))
| gt(n0,X0)
| drugsu(X0) )
| ~ spl29_19 ),
inference(resolution,[],[f523,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ gt(X0,sK26(X0))
| gt(X0,X1)
| drugsu(X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f523,plain,
( ! [X0] :
( gt(n0,X0)
| bsecretioni(X0) )
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f1446,plain,
( spl29_19
| ~ spl29_32 ),
inference(avatar_split_clause,[],[f1443,f576,f522]) ).
fof(f576,plain,
( spl29_32
<=> sP2(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_32])]) ).
fof(f1443,plain,
( ! [X0] :
( gt(n0,X0)
| bsecretioni(X0) )
| ~ spl29_32 ),
inference(resolution,[],[f578,f294]) ).
fof(f294,plain,
! [X2,X0] :
( ~ sP2(X0)
| gt(X0,X2)
| bsecretioni(X2) ),
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(f578,plain,
( sP2(n0)
| ~ spl29_32 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f1439,plain,
( spl29_19
| ~ spl29_34 ),
inference(avatar_split_clause,[],[f1433,f584,f522]) ).
fof(f584,plain,
( spl29_34
<=> sP4(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_34])]) ).
fof(f1433,plain,
( ! [X0] :
( gt(n0,X0)
| bsecretioni(X0) )
| ~ spl29_34 ),
inference(resolution,[],[f586,f288]) ).
fof(f288,plain,
! [X2,X0] :
( ~ sP4(X0)
| gt(X0,X2)
| bsecretioni(X2) ),
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(f586,plain,
( sP4(n0)
| ~ spl29_34 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f1404,plain,
( spl29_21
| ~ spl29_28 ),
inference(avatar_split_clause,[],[f1403,f559,f530]) ).
fof(f530,plain,
( spl29_21
<=> ! [X0] :
( gt(n0,X0)
| drugi(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).
fof(f1403,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_28 ),
inference(subsumption_resolution,[],[f1389,f267]) ).
fof(f267,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/sandbox/benchmark/theBenchmark.p',insulin_completion) ).
fof(f1389,plain,
( ! [X0] :
( uptakelg(sK23(n0))
| gt(n0,X0)
| drugi(X0) )
| ~ spl29_28 ),
inference(resolution,[],[f560,f266]) ).
fof(f266,plain,
! [X0,X1] :
( ~ gt(X0,sK23(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f560,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_28 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f1375,plain,
( spl29_31
| spl29_32
| spl29_33
| spl29_34
| ~ spl29_6 ),
inference(avatar_split_clause,[],[f1374,f398,f584,f580,f576,f572]) ).
fof(f572,plain,
( spl29_31
<=> sP5(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_31])]) ).
fof(f398,plain,
( spl29_6
<=> ! [X0] :
( conditionnormo(X0)
| gt(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
fof(f1374,plain,
( sP4(n0)
| sP3(n0)
| sP2(n0)
| sP5(n0)
| ~ spl29_6 ),
inference(subsumption_resolution,[],[f1265,f299]) ).
fof(f299,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(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(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(f1265,plain,
( conditionnormo(sK28(n0))
| sP4(n0)
| sP3(n0)
| sP2(n0)
| sP5(n0)
| ~ spl29_6 ),
inference(resolution,[],[f399,f298]) ).
fof(f298,plain,
! [X0] :
( ~ gt(X0,sK28(X0))
| sP4(X0)
| sP3(X0)
| sP2(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f399,plain,
( ! [X0] :
( gt(n0,X0)
| conditionnormo(X0) )
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f1249,plain,
~ spl29_87,
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1248,plain,
( $false
| ~ spl29_87 ),
inference(subsumption_resolution,[],[f1245,f201]) ).
fof(f1245,plain,
( ~ s0(n0)
| ~ spl29_87 ),
inference(resolution,[],[f1175,f209]) ).
fof(f209,plain,
! [X0] :
( ~ s3(X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ s3(X0)
| ~ s0(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( ~ s3(X3)
| ~ s0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep4) ).
fof(f1175,plain,
( s3(n0)
| ~ spl29_87 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1236,plain,
( spl29_87
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f1235,f530,f1173]) ).
fof(f1235,plain,
( s3(n0)
| ~ spl29_21 ),
inference(resolution,[],[f1201,f221]) ).
fof(f221,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(f1201,plain,
( drugi(n0)
| ~ spl29_21 ),
inference(resolution,[],[f531,f205]) ).
fof(f531,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f828,plain,
( spl29_8
| ~ spl29_5
| spl29_7 ),
inference(avatar_split_clause,[],[f827,f406,f394,f410]) ).
fof(f827,plain,
( gt(sK7(n0),sK6(sK7(n0)))
| ~ spl29_5
| spl29_7 ),
inference(subsumption_resolution,[],[f819,f407]) ).
fof(f819,plain,
( gt(sK7(n0),sK6(sK7(n0)))
| gt(n0,sK7(n0))
| ~ spl29_5 ),
inference(resolution,[],[f396,f203]) ).
fof(f203,plain,
! [X0] :
( ~ s1(X0)
| gt(X0,sK6(X0))
| gt(n0,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f396,plain,
( s1(sK7(n0))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f612,plain,
( spl29_28
| ~ spl29_31 ),
inference(avatar_split_clause,[],[f609,f572,f559]) ).
fof(f609,plain,
( ! [X0] :
( gt(n0,X0)
| uptakelg(X0) )
| ~ spl29_31 ),
inference(resolution,[],[f574,f282]) ).
fof(f282,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(f574,plain,
( sP5(n0)
| ~ spl29_31 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f602,plain,
( spl29_6
| spl29_36 ),
inference(avatar_split_clause,[],[f598,f600,f398]) ).
fof(f598,plain,
! [X0,X1] :
( ~ gt(sK7(n0),X0)
| conditionnormo(X1)
| gt(n0,X1)
| conditionhyper(X0) ),
inference(resolution,[],[f231,f201]) ).
fof(f231,plain,
! [X2,X3,X0] :
( ~ s0(X0)
| ~ gt(sK7(X0),X2)
| conditionnormo(X3)
| gt(X0,X3)
| conditionhyper(X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(sK7(X0),X2) )
& s1(sK7(X0))
& ~ gt(X0,sK7(X0)) )
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) )
| ~ s0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f138,f139]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( conditionhyper(X2)
| ~ gt(X1,X2) )
& s1(X1)
& ~ gt(X0,X1) )
=> ( ! [X2] :
( conditionhyper(X2)
| ~ gt(sK7(X0),X2) )
& s1(sK7(X0))
& ~ gt(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( conditionhyper(X2)
| ~ gt(X1,X2) )
& s1(X1)
& ~ gt(X0,X1) )
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) )
| ~ s0(X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& s1(X2)
& ~ gt(X0,X2) )
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ~ s0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& s1(X2)
& ~ gt(X0,X2) )
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ~ s0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( ~ ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
& s0(X0) )
=> ? [X2] :
( ! [X3] :
( gt(X2,X3)
=> conditionhyper(X3) )
& s1(X2)
& ~ gt(X0,X2) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X3] :
( ( ~ ! [X4] :
( ~ gt(X3,X4)
=> conditionnormo(X4) )
& s0(X3) )
=> ? [X4] :
( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& s1(X4)
& ~ gt(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_ax1) ).
fof(f478,plain,
( ~ spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f477,f398,f406]) ).
fof(f477,plain,
! [X0] :
( conditionnormo(X0)
| gt(n0,X0)
| ~ gt(n0,sK7(n0)) ),
inference(resolution,[],[f229,f201]) ).
fof(f229,plain,
! [X3,X0] :
( ~ s0(X0)
| conditionnormo(X3)
| gt(X0,X3)
| ~ gt(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f400,plain,
( spl29_5
| spl29_6 ),
inference(avatar_split_clause,[],[f392,f398,f394]) ).
fof(f392,plain,
! [X0] :
( conditionnormo(X0)
| gt(n0,X0)
| s1(sK7(n0)) ),
inference(resolution,[],[f230,f201]) ).
fof(f230,plain,
! [X3,X0] :
( ~ s0(X0)
| conditionnormo(X3)
| gt(X0,X3)
| s1(sK7(X0)) ),
inference(cnf_transformation,[],[f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : MED005+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 14:00:35 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (25641)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (25647)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (25645)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (25648)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)
% 0.12/0.35 % (25646)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (25643)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (25642)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (25644)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)
% 0.12/0.35 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [5]
% 0.12/0.37 TRYING [5]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [5]
% 0.18/0.38 TRYING [6]
% 0.18/0.38 TRYING [6]
% 0.18/0.38 TRYING [5]
% 0.18/0.39 TRYING [6]
% 0.18/0.40 TRYING [7]
% 0.18/0.40 TRYING [7]
% 0.18/0.40 TRYING [6]
% 0.18/0.40 % (25647)First to succeed.
% 0.18/0.41 % (25647)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25641"
% 0.18/0.41 % (25647)Refutation found. Thanks to Tanya!
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.41 % (25647)------------------------------
% 0.18/0.41 % (25647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.41 % (25647)Termination reason: Refutation
% 0.18/0.41
% 0.18/0.41 % (25647)Memory used [KB]: 1993
% 0.18/0.41 % (25647)Time elapsed: 0.057 s
% 0.18/0.41 % (25647)Instructions burned: 125 (million)
% 0.18/0.41 % (25641)Success in time 0.069 s
%------------------------------------------------------------------------------