%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MED006+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:01:38 PM UTC 2026
% Result : Theorem 2.92s 1.30s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 129 ( 15 unt; 9 def)
% Number of atoms : 602 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 700 ( 227 ~; 291 |; 125 &)
% ( 6 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 225 ( 0 sgn 215 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f23,axiom,
! [X0] :
( ~ s1(X0)
| ~ s2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep5) ).
fof(f24,axiom,
! [X0] :
( ~ s1(X0)
| ~ s3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep6) ).
fof(f26,axiom,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
=> ( ( ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) )
& bcapacitysn(X0)
& qilt27(X0)
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) ) )
| ( ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) )
& bcapacitysn(X0)
& ~ qilt27(X0)
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) ) )
| ( ( ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) )
| ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) ) )
& bcapacityne(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) )
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) ) )
| ( ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) )
& ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) )
& bcapacityex(X0)
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normo) ).
fof(f31,axiom,
! [X0] :
( drugbg(X0)
=> ( ( s1(X0)
& ~ qilt27(X0) )
| s2(X0)
| s3(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bgcomp) ).
fof(f33,axiom,
! [X0] :
( drugi(X0)
=> s3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulincomp) ).
fof(f34,axiom,
! [X0] :
( ( ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) )
| ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) ) )
=> ! [X1] :
( ~ gt(X0,X1)
=> drugi(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulin_completion) ).
fof(f37,axiom,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) )
=> ! [X1] :
( ~ gt(X0,X1)
=> drugbg(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_completion) ).
fof(f41,conjecture,
( ( s1(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ~ bcapacitysn(n0)
& qilt27(n0) )
=> ~ ! [X0] :
( ~ gt(n0,X0)
=> conditionnormo(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unsuccessfuls1_qilt27) ).
fof(f42,negated_conjecture,
~ ( ( s1(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ~ bcapacitysn(n0)
& qilt27(n0) )
=> ~ ! [X0] :
( ~ gt(n0,X0)
=> conditionnormo(X0) ) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
=> ( ( ! [X2] :
( ~ gt(X0,X2)
=> bsecretioni(X2) )
& bcapacitysn(X0)
& qilt27(X0)
& ! [X3] :
( gt(X0,X3)
=> conditionhyper(X3) ) )
| ( ! [X4] :
( ~ gt(X0,X4)
=> ~ releaselg(X4) )
& bcapacitysn(X0)
& ~ qilt27(X0)
& ! [X5] :
( gt(X0,X5)
=> conditionhyper(X5) ) )
| ( ( ! [X6] :
( ~ gt(X0,X6)
=> ~ releaselg(X6) )
| ! [X7] :
( ~ gt(X0,X7)
=> uptakepg(X7) ) )
& bcapacityne(X0)
& ! [X8] :
( ~ gt(X0,X8)
=> bsecretioni(X8) )
& ! [X9] :
( gt(X0,X9)
=> conditionhyper(X9) ) )
| ( ! [X10] :
( ~ gt(X0,X10)
=> uptakelg(X10) )
& ! [X11] :
( ~ gt(X0,X11)
=> uptakepg(X11) )
& bcapacityex(X0)
& ! [X12] :
( gt(X0,X12)
=> conditionhyper(X12) ) ) ) ),
inference(rectify,[],[f26]) ).
fof(f51,plain,
! [X0] :
( ( ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) )
| ! [X2] :
( ~ gt(X0,X2)
=> uptakepg(X2) ) )
=> ! [X3] :
( ~ gt(X0,X3)
=> drugi(X3) ) ),
inference(rectify,[],[f34]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) )
=> ! [X2] :
( ~ gt(X0,X2)
=> drugbg(X2) ) ),
inference(rectify,[],[f37]) ).
fof(f57,plain,
~ ( ( s1(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ~ bcapacitysn(n0)
& qilt27(n0) )
=> ~ ! [X1] :
( ~ gt(n0,X1)
=> conditionnormo(X1) ) ),
inference(rectify,[],[f42]) ).
fof(f75,plain,
! [X0] :
( ( ! [X2] :
( bsecretioni(X2)
| gt(X0,X2) )
& bcapacitysn(X0)
& qilt27(X0)
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X0,X3) ) )
| ( ! [X4] :
( ~ releaselg(X4)
| gt(X0,X4) )
& bcapacitysn(X0)
& ~ qilt27(X0)
& ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) ) )
| ( ( ! [X6] :
( ~ releaselg(X6)
| gt(X0,X6) )
| ! [X7] :
( uptakepg(X7)
| gt(X0,X7) ) )
& bcapacityne(X0)
& ! [X8] :
( bsecretioni(X8)
| gt(X0,X8) )
& ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) ) )
| ( ! [X10] :
( uptakelg(X10)
| gt(X0,X10) )
& ! [X11] :
( uptakepg(X11)
| gt(X0,X11) )
& bcapacityex(X0)
& ! [X12] :
( conditionhyper(X12)
| ~ gt(X0,X12) ) )
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f76,plain,
! [X0] :
( ( ! [X2] :
( bsecretioni(X2)
| gt(X0,X2) )
& bcapacitysn(X0)
& qilt27(X0)
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X0,X3) ) )
| ( ! [X4] :
( ~ releaselg(X4)
| gt(X0,X4) )
& bcapacitysn(X0)
& ~ qilt27(X0)
& ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) ) )
| ( ( ! [X6] :
( ~ releaselg(X6)
| gt(X0,X6) )
| ! [X7] :
( uptakepg(X7)
| gt(X0,X7) ) )
& bcapacityne(X0)
& ! [X8] :
( bsecretioni(X8)
| gt(X0,X8) )
& ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) ) )
| ( ! [X10] :
( uptakelg(X10)
| gt(X0,X10) )
& ! [X11] :
( uptakepg(X11)
| gt(X0,X11) )
& bcapacityex(X0)
& ! [X12] :
( conditionhyper(X12)
| ~ gt(X0,X12) ) )
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(flattening,[],[f75]) ).
fof(f84,plain,
! [X0] :
( ( s1(X0)
& ~ qilt27(X0) )
| s2(X0)
| s3(X0)
| ~ drugbg(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f85,plain,
! [X0] :
( ( s1(X0)
& ~ qilt27(X0) )
| s2(X0)
| s3(X0)
| ~ drugbg(X0) ),
inference(flattening,[],[f84]) ).
fof(f88,plain,
! [X0] :
( s3(X0)
| ~ drugi(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f89,plain,
! [X0] :
( ! [X3] :
( drugi(X3)
| gt(X0,X3) )
| ( ? [X1] :
( ~ uptakelg(X1)
& ~ gt(X0,X1) )
& ? [X2] :
( ~ uptakepg(X2)
& ~ gt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f93,plain,
! [X0] :
( ! [X2] :
( drugbg(X2)
| gt(X0,X2) )
| ? [X1] :
( releaselg(X1)
& ~ gt(X0,X1) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f100,plain,
( ! [X1] :
( conditionnormo(X1)
| gt(n0,X1) )
& s1(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& ~ bcapacitysn(n0)
& qilt27(n0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f101,plain,
( ! [X1] :
( conditionnormo(X1)
| gt(n0,X1) )
& s1(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& ~ bcapacitysn(n0)
& qilt27(n0) ),
inference(flattening,[],[f100]) ).
fof(f104,definition,
! [X0] :
( ( ! [X10] :
( uptakelg(X10)
| gt(X0,X10) )
& ! [X11] :
( uptakepg(X11)
| gt(X0,X11) )
& bcapacityex(X0)
& ! [X12] :
( conditionhyper(X12)
| ~ gt(X0,X12) ) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f105,definition,
! [X0] :
( ( ( ! [X6] :
( ~ releaselg(X6)
| gt(X0,X6) )
| ! [X7] :
( uptakepg(X7)
| gt(X0,X7) ) )
& bcapacityne(X0)
& ! [X8] :
( bsecretioni(X8)
| gt(X0,X8) )
& ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) ) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f106,definition,
! [X0] :
( ( ! [X4] :
( ~ releaselg(X4)
| gt(X0,X4) )
& bcapacitysn(X0)
& ~ qilt27(X0)
& ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) ) )
| ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f107,plain,
! [X0] :
( ( ! [X2] :
( bsecretioni(X2)
| gt(X0,X2) )
& bcapacitysn(X0)
& qilt27(X0)
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X0,X3) ) )
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(definition_folding,[],[f76,f106,f105,f104]) ).
fof(f124,plain,
! [X0] :
( ( ! [X4] :
( ~ releaselg(X4)
| gt(X0,X4) )
& bcapacitysn(X0)
& ~ qilt27(X0)
& ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f125,plain,
! [X0] :
( ( ! [X1] :
( ~ releaselg(X1)
| gt(X0,X1) )
& bcapacitysn(X0)
& ~ qilt27(X0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ( ( ! [X6] :
( ~ releaselg(X6)
| gt(X0,X6) )
| ! [X7] :
( uptakepg(X7)
| gt(X0,X7) ) )
& bcapacityne(X0)
& ! [X8] :
( bsecretioni(X8)
| gt(X0,X8) )
& ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f127,plain,
! [X0] :
( ( ( ! [X1] :
( ~ releaselg(X1)
| gt(X0,X1) )
| ! [X2] :
( uptakepg(X2)
| gt(X0,X2) ) )
& bcapacityne(X0)
& ! [X3] :
( bsecretioni(X3)
| gt(X0,X3) )
& ! [X4] :
( conditionhyper(X4)
| ~ gt(X0,X4) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ( ! [X10] :
( uptakelg(X10)
| gt(X0,X10) )
& ! [X11] :
( uptakepg(X11)
| gt(X0,X11) )
& bcapacityex(X0)
& ! [X12] :
( conditionhyper(X12)
| ~ gt(X0,X12) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f129,plain,
! [X0] :
( ( ! [X1] :
( uptakelg(X1)
| gt(X0,X1) )
& ! [X2] :
( uptakepg(X2)
| gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X0,X3) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0] :
( ( ! [X1] :
( bsecretioni(X1)
| gt(X0,X1) )
& bcapacitysn(X0)
& qilt27(X0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) ) )
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ? [X3] :
( ~ conditionnormo(X3)
& ~ gt(X0,X3) ) ),
inference(rectify,[],[f107]) ).
fof(f131,plain,
! [X0] :
( ( ! [X1] :
( bsecretioni(X1)
| gt(X0,X1) )
& bcapacitysn(X0)
& qilt27(X0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) ) )
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ( ~ conditionnormo(sK18(X0))
& ~ gt(X0,sK18(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X3,sK18(X0))],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( drugi(X1)
| gt(X0,X1) )
| ( ? [X2] :
( ~ uptakelg(X2)
& ~ gt(X0,X2) )
& ? [X3] :
( ~ uptakepg(X3)
& ~ gt(X0,X3) ) ) ),
inference(rectify,[],[f89]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( drugi(X1)
| gt(X0,X1) )
| ( ~ uptakelg(sK19(X0))
& ~ gt(X0,sK19(X0))
& ~ uptakepg(sK20(X0))
& ~ gt(X0,sK20(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X2,sK19(X0)),skolemize(X3,sK20(X0))],[f132]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( drugbg(X1)
| gt(X0,X1) )
| ? [X2] :
( releaselg(X2)
& ~ gt(X0,X2) ) ),
inference(rectify,[],[f93]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( drugbg(X1)
| gt(X0,X1) )
| ( releaselg(sK22(X0))
& ~ gt(X0,sK22(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X2,sK22(X0))],[f136]) ).
fof(f144,plain,
( ! [X0] :
( conditionnormo(X0)
| gt(n0,X0) )
& s1(n0)
& ! [X1] :
( conditionhyper(X1)
| ~ gt(n0,X1) )
& ~ bcapacitysn(n0)
& qilt27(n0) ),
inference(rectify,[],[f101]) ).
fof(f145,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f192,plain,
! [X0] :
( ~ s2(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f193,plain,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f197,plain,
! [X0] :
( ~ sP3(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| gt(X0,X1)
| uptakepg(X2)
| gt(X0,X2)
| ~ releaselg(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f206,plain,
! [X0,X1] :
( ~ sP1(X0)
| gt(X0,X1)
| uptakelg(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f211,plain,
! [X0] :
( bcapacitysn(X0)
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ~ gt(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f212,plain,
! [X0] :
( bcapacitysn(X0)
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ~ conditionnormo(sK18(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f221,plain,
! [X0] :
( ~ drugbg(X0)
| s2(X0)
| s3(X0)
| ~ qilt27(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f224,plain,
! [X0] :
( ~ drugi(X0)
| s3(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f225,plain,
! [X0,X1] :
( ~ gt(X0,sK20(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f226,plain,
! [X0,X1] :
( ~ uptakepg(sK20(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f227,plain,
! [X0,X1] :
( ~ gt(X0,sK19(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f228,plain,
! [X0,X1] :
( ~ uptakelg(sK19(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f234,plain,
! [X0,X1] :
( ~ gt(X0,sK22(X0))
| gt(X0,X1)
| drugbg(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f235,plain,
! [X0,X1] :
( releaselg(sK22(X0))
| gt(X0,X1)
| drugbg(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f247,plain,
qilt27(n0),
inference(cnf_transformation,[],[f144]) ).
fof(f248,plain,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f144]) ).
fof(f250,plain,
s1(n0),
inference(cnf_transformation,[],[f144]) ).
fof(f251,plain,
! [X0] :
( conditionnormo(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f263,plain,
! [X0] :
( ~ conditionnormo(sK18(X0))
| sP2(X0)
| sP1(X0)
| bcapacitysn(X0) ),
inference(forward_subsumption_resolution,[],[f212,f197]) ).
fof(f266,plain,
! [X0] :
( gt(n0,sK18(X0))
| sP1(X0)
| bcapacitysn(X0)
| sP2(X0) ),
inference(resolution,[],[f263,f251]) ).
fof(f273,plain,
! [X0] :
( ~ gt(X0,sK18(X0))
| sP2(X0)
| sP1(X0)
| bcapacitysn(X0) ),
inference(forward_subsumption_resolution,[],[f211,f197]) ).
fof(f283,plain,
( sP2(n0)
| sP1(n0)
| bcapacitysn(n0)
| sP1(n0)
| bcapacitysn(n0)
| sP2(n0) ),
inference(resolution,[],[f273,f266]) ).
fof(f284,plain,
( sP2(n0)
| sP1(n0)
| bcapacitysn(n0) ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f285,plain,
( sP2(n0)
| sP1(n0) ),
inference(forward_subsumption_resolution,[],[f284,f248]) ).
fof(f287,definition,
( spl26_3
<=> sP1(n0) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
fof(f289,plain,
( sP1(n0)
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,definition,
( spl26_4
<=> sP2(n0) ),
introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).
fof(f293,plain,
( sP2(n0)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
( spl26_3
| spl26_4 ),
inference(avatar_split_clause,[],[f285,f291,f287]) ).
fof(f295,plain,
( ! [X0] :
( uptakelg(X0)
| gt(n0,X0) )
| ~ spl26_3 ),
inference(resolution,[],[f289,f206]) ).
fof(f303,plain,
( ! [X0,X1] :
( drugi(X1)
| gt(X0,X1)
| gt(n0,sK19(X0)) )
| ~ spl26_3 ),
inference(resolution,[],[f295,f228]) ).
fof(f399,plain,
( ! [X0,X1] :
( s3(X1)
| gt(n0,sK19(X0))
| gt(X0,X1) )
| ~ spl26_3 ),
inference(resolution,[],[f303,f224]) ).
fof(f408,plain,
( ! [X0,X1] :
( gt(n0,sK19(X0))
| gt(X0,X1)
| ~ s1(X1) )
| ~ spl26_3 ),
inference(resolution,[],[f399,f193]) ).
fof(f415,plain,
( ! [X0,X1] :
( gt(n0,X0)
| ~ s1(X0)
| gt(n0,X1)
| drugi(X1) )
| ~ spl26_3 ),
inference(resolution,[],[f408,f227]) ).
fof(f422,definition,
( spl26_15
<=> ! [X1] :
( gt(n0,X1)
| drugi(X1) ) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f423,plain,
( ! [X1] :
( drugi(X1)
| gt(n0,X1) )
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,definition,
( spl26_16
<=> ! [X0] :
( gt(n0,X0)
| ~ s1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_16])],[avatar_definition]) ).
fof(f426,plain,
( ! [X0] :
( ~ s1(X0)
| gt(n0,X0) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( spl26_15
| spl26_16
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f415,f287,f425,f422]) ).
fof(f453,plain,
( ! [X0] :
( s3(X0)
| gt(n0,X0) )
| ~ spl26_15 ),
inference(resolution,[],[f423,f224]) ).
fof(f460,plain,
( ! [X0] :
( gt(n0,X0)
| ~ s1(X0) )
| ~ spl26_15 ),
inference(resolution,[],[f453,f193]) ).
fof(f461,plain,
( spl26_16
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f460,f422,f425]) ).
fof(f462,plain,
( gt(n0,n0)
| ~ spl26_16 ),
inference(resolution,[],[f426,f250]) ).
fof(f467,plain,
( $false
| ~ spl26_16 ),
inference(forward_subsumption_resolution,[],[f462,f145]) ).
fof(f468,plain,
~ spl26_16,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f573,plain,
( ! [X0,X1] :
( gt(n0,X0)
| uptakepg(X1)
| gt(n0,X1)
| ~ releaselg(X0) )
| ~ spl26_4 ),
inference(resolution,[],[f202,f293]) ).
fof(f575,definition,
( spl26_20
<=> ! [X1] :
( uptakepg(X1)
| gt(n0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f576,plain,
( ! [X1] :
( uptakepg(X1)
| gt(n0,X1) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,definition,
( spl26_21
<=> ! [X0] :
( gt(n0,X0)
| ~ releaselg(X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_21])],[avatar_definition]) ).
fof(f579,plain,
( ! [X0] :
( ~ releaselg(X0)
| gt(n0,X0) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f580,plain,
( spl26_20
| spl26_21
| ~ spl26_4 ),
inference(avatar_split_clause,[],[f573,f291,f578,f575]) ).
fof(f583,plain,
( ! [X0,X1] :
( drugi(X1)
| gt(X0,X1)
| gt(n0,sK20(X0)) )
| ~ spl26_20 ),
inference(resolution,[],[f576,f226]) ).
fof(f597,plain,
( ! [X0,X1] :
( s3(X1)
| gt(n0,sK20(X0))
| gt(X0,X1) )
| ~ spl26_20 ),
inference(resolution,[],[f583,f224]) ).
fof(f607,plain,
( ! [X0,X1] :
( ~ s1(X1)
| gt(X0,X1)
| gt(n0,sK20(X0)) )
| ~ spl26_20 ),
inference(resolution,[],[f597,f193]) ).
fof(f618,plain,
( ! [X0] :
( gt(n0,sK20(X0))
| gt(X0,n0) )
| ~ spl26_20 ),
inference(resolution,[],[f607,f250]) ).
fof(f624,plain,
( ! [X0] :
( gt(n0,n0)
| gt(n0,X0)
| drugi(X0) )
| ~ spl26_20 ),
inference(resolution,[],[f618,f225]) ).
fof(f629,plain,
( ! [X0] :
( gt(n0,X0)
| drugi(X0) )
| ~ spl26_20 ),
inference(forward_subsumption_resolution,[],[f624,f145]) ).
fof(f630,plain,
( spl26_15
| ~ spl26_20 ),
inference(avatar_split_clause,[],[f629,f575,f422]) ).
fof(f631,plain,
( ! [X0,X1] :
( drugbg(X1)
| gt(X0,X1)
| gt(n0,sK22(X0)) )
| ~ spl26_21 ),
inference(resolution,[],[f579,f235]) ).
fof(f637,plain,
( ! [X0,X1] :
( s3(X1)
| gt(n0,sK22(X0))
| s2(X1)
| gt(X0,X1)
| ~ qilt27(X1) )
| ~ spl26_21 ),
inference(resolution,[],[f631,f221]) ).
fof(f656,plain,
( ! [X0,X1] :
( gt(n0,sK22(X0))
| s2(X1)
| gt(X0,X1)
| ~ qilt27(X1)
| ~ s1(X1) )
| ~ spl26_21 ),
inference(resolution,[],[f637,f193]) ).
fof(f657,plain,
( ! [X0,X1] :
( ~ s1(X1)
| gt(X0,X1)
| ~ qilt27(X1)
| gt(n0,sK22(X0)) )
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f656,f192]) ).
fof(f661,plain,
( ! [X0] :
( gt(X0,n0)
| ~ qilt27(n0)
| gt(n0,sK22(X0)) )
| ~ spl26_21 ),
inference(resolution,[],[f657,f250]) ).
fof(f666,plain,
( ! [X0] :
( gt(n0,sK22(X0))
| gt(X0,n0) )
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f661,f247]) ).
fof(f672,plain,
( ! [X0] :
( gt(n0,n0)
| gt(n0,X0)
| drugbg(X0) )
| ~ spl26_21 ),
inference(resolution,[],[f666,f234]) ).
fof(f678,plain,
( ! [X0] :
( drugbg(X0)
| gt(n0,X0) )
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f672,f145]) ).
fof(f685,plain,
( ! [X0] :
( s3(X0)
| s2(X0)
| gt(n0,X0)
| ~ qilt27(X0) )
| ~ spl26_21 ),
inference(resolution,[],[f678,f221]) ).
fof(f694,plain,
( ! [X0] :
( s2(X0)
| gt(n0,X0)
| ~ qilt27(X0)
| ~ s1(X0) )
| ~ spl26_21 ),
inference(resolution,[],[f685,f193]) ).
fof(f695,plain,
( ! [X0] :
( ~ s1(X0)
| ~ qilt27(X0)
| gt(n0,X0) )
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f694,f192]) ).
fof(f699,plain,
( ~ qilt27(n0)
| gt(n0,n0)
| ~ spl26_21 ),
inference(resolution,[],[f695,f250]) ).
fof(f704,plain,
( gt(n0,n0)
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f699,f247]) ).
fof(f705,plain,
( $false
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f704,f145]) ).
fof(f706,plain,
~ spl26_21,
inference(avatar_contradiction_clause,[],[f705]) ).
cnf(s2,plain,
( spl26_3
| spl26_4 ),
inference(sat_conversion,[],[f294]) ).
cnf(s15,plain,
( ~ spl26_3
| spl26_15
| spl26_16 ),
inference(sat_conversion,[],[f427]) ).
cnf(s26,plain,
( ~ spl26_15
| spl26_16 ),
inference(sat_conversion,[],[f461]) ).
cnf(s27,plain,
~ spl26_16,
inference(sat_conversion,[],[f468]) ).
cnf(s32,plain,
( ~ spl26_4
| spl26_20
| spl26_21 ),
inference(sat_conversion,[],[f580]) ).
cnf(s33,plain,
( spl26_15
| ~ spl26_20 ),
inference(sat_conversion,[],[f630]) ).
cnf(s34,plain,
~ spl26_21,
inference(sat_conversion,[],[f706]) ).
cnf(s35,plain,
( ~ spl26_4
| spl26_20 ),
inference(rat,[],[s32,s34]) ).
cnf(s36,plain,
~ spl26_15,
inference(rat,[],[s26,s27]) ).
cnf(s37,plain,
~ spl26_20,
inference(rat,[],[s33,s36]) ).
cnf(s38,plain,
~ spl26_4,
inference(rat,[],[s35,s37]) ).
cnf(s39,plain,
~ spl26_3,
inference(rat,[],[s15,s27,s36]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s2,s38,s39]) ).
fof(f707,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MED006+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:15:03 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.92/1.30 % (32433)Detected formulas, will run a generic FOF schedule.
% 2.92/1.30 % (32442)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3669797745:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.30 % (32442)Instruction limit reached!
% 2.92/1.30 % (32442)------------------------------
% 2.92/1.30 % (32442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.30 % (32442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.30 % (32442)CaDiCaL version: 2.1.3
% 2.92/1.30 % (32442)Termination reason: Instruction limit
% 2.92/1.30 % (32442)Termination phase: Saturation
% 2.92/1.30 % (32442)Time elapsed: 0.027 s
% 2.92/1.30 % (32442)Peak memory usage: 87 MB
% 2.92/1.30 % (32442)Instructions burned: 125 (million)
% 2.92/1.30 % (32444)dis-21_1_sil=8000:lcm=predicate:random_seed=2450557347:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.92/1.30 % (32440)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=361077413:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.30 % (32438)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2341701999:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.30 % (32439)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4098387004:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.30 % (32441)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1213440486:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.30 % (32441)Refutation not found, incomplete strategy
% 2.92/1.30 % (32441)------------------------------
% 2.92/1.30 % (32441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.30 % (32441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.30 % (32441)CaDiCaL version: 2.1.3
% 2.92/1.30 % (32441)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.30 % (32441)Time elapsed: 0.001 s
% 2.92/1.30 % (32441)Peak memory usage: 88 MB
% 2.92/1.30 % (32443)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3151417367:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.30 % (32443)First to succeed.
% 2.92/1.30 % (32443)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32433"
% 2.92/1.30 % (32444)Instruction limit reached!
% 2.92/1.30 % (32444)------------------------------
% 2.92/1.30 % (32444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.30 % (32444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.30 % (32444)CaDiCaL version: 2.1.3
% 2.92/1.30 % (32444)Termination reason: Instruction limit
% 2.92/1.30 % (32444)Termination phase: Saturation
% 2.92/1.30 % (32444)Time elapsed: 0.064 s
% 2.92/1.30 % (32444)Peak memory usage: 88 MB
% 2.92/1.30 % (32444)Instructions burned: 130 (million)
% 2.92/1.30 % (32448)lrs+10_1_sil=8000:sp=occurrence:random_seed=1510237272:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.92/1.30 % (32448)Instruction limit reached!
% 2.92/1.30 % (32448)------------------------------
% 2.92/1.30 % (32448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.30 % (32448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.30 % (32448)CaDiCaL version: 2.1.3
% 2.92/1.30 % (32448)Termination reason: Instruction limit
% 2.92/1.30 % (32448)Termination phase: Saturation
% 2.92/1.30 % (32448)Time elapsed: 0.078 s
% 2.92/1.30 % (32448)Peak memory usage: 90 MB
% 2.92/1.30 % (32448)Instructions burned: 286 (million)
% 2.92/1.30 % (32453)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3093116537:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.92/1.30 % (32453)Refutation not found, incomplete strategy
% 2.92/1.30 % (32453)------------------------------
% 2.92/1.30 % (32453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.30 % (32453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.30 % (32453)CaDiCaL version: 2.1.3
% 2.92/1.30 % (32453)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.30 % (32453)Time elapsed: 0.003 s
% 2.92/1.30 % (32453)Peak memory usage: 88 MB
% 2.92/1.30 % (32453)Instructions burned: 2 (million)
% 2.92/1.30 % (32441)------------------------------
% 2.92/1.30 % (32441)------------------------------
% 2.92/1.30 % (32455)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3376205404:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.92/1.30 % (32443)Refutation found. Thanks to Tanya!
% 2.92/1.30 % SZS status Theorem for theBenchmark
% 2.92/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.50 % (32443)------------------------------
% 3.69/1.50 % (32443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.50 % (32443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.50 % (32443)CaDiCaL version: 2.1.3
% 3.69/1.50 % (32443)Termination reason: Refutation
% 3.69/1.50 % (32443)Time elapsed: 0.024 s
% 3.69/1.50 % (32443)Peak memory usage: 90 MB
% 3.69/1.50 % (32443)Instructions burned: 34 (million)
% 3.69/1.50 % (32443)------------------------------
% 3.69/1.50 % (32443)------------------------------
% 3.69/1.50 % (32433)Success in time 0.441 s
% 3.69/1.50 % Vampire exiting
%------------------------------------------------------------------------------