%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MED010+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 3.25s 1.42s
% Output : Refutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 78 ( 20 unt; 3 def)
% Number of atoms : 463 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 566 ( 181 ~; 186 |; 149 &)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 194 ( 175 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f4,axiom,
! [X0] :
( ~ bcapacityne(X0)
| ~ bcapacityex(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity2) ).
fof(f6,axiom,
! [X0] :
( ~ bcapacityex(X0)
| ~ bcapacitysn(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorcapacity4) ).
fof(f25,axiom,
! [X0] :
( ~ s2(X0)
| ~ s3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xorstep7) ).
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/sandbox2/benchmark/theBenchmark.p',normo) ).
fof(f33,axiom,
! [X0] :
( drugi(X0)
=> s3(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',insulin_completion) ).
fof(f40,axiom,
! [X0] :
( ( s2(X0)
& ~ ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) ) )
=> ? [X1] :
( ~ gt(X0,X1)
& s3(X1)
& ! [X2] :
( gt(X1,X2)
=> conditionhyper(X2) )
& bcapacityex(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_ax3) ).
fof(f41,conjecture,
( ( s2(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& bcapacityex(n0) )
=> ? [X0] :
( ~ gt(n0,X0)
& s3(X0)
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& bcapacityex(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unsuccesfuls2) ).
fof(f42,negated_conjecture,
~ ( ( s2(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& bcapacityex(n0) )
=> ? [X0] :
( ~ gt(n0,X0)
& s3(X0)
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& bcapacityex(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(f56,plain,
! [X0] :
( ( s2(X0)
& ~ ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) ) )
=> ? [X2] :
( ~ gt(X0,X2)
& s3(X2)
& ! [X3] :
( gt(X2,X3)
=> conditionhyper(X3) )
& bcapacityex(X2) ) ),
inference(rectify,[],[f40]) ).
fof(f57,plain,
~ ( ( s2(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& bcapacityex(n0) )
=> ? [X1] :
( ~ gt(n0,X1)
& s3(X1)
& ! [X2] :
( gt(X1,X2)
=> conditionhyper(X2) )
& bcapacityex(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(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(f98,plain,
! [X0] :
( ? [X2] :
( ~ gt(X0,X2)
& s3(X2)
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& bcapacityex(X2) )
| ~ s2(X0)
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f99,plain,
! [X0] :
( ? [X2] :
( ~ gt(X0,X2)
& s3(X2)
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& bcapacityex(X2) )
| ~ s2(X0)
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
( ! [X1] :
( gt(n0,X1)
| ~ s3(X1)
| ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ bcapacityex(X1) )
& s2(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& bcapacityex(n0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f101,plain,
( ! [X1] :
( gt(n0,X1)
| ~ s3(X1)
| ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ bcapacityex(X1) )
& s2(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& bcapacityex(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(f142,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& s3(X1)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X1,X2) )
& bcapacityex(X1) )
| ~ s2(X0)
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) ) ),
inference(rectify,[],[f99]) ).
fof(f143,plain,
! [X0] :
( ( ~ gt(X0,sK25(X0))
& s3(sK25(X0))
& ! [X2] :
( conditionhyper(X2)
| ~ gt(sK25(X0),X2) )
& bcapacityex(sK25(X0)) )
| ~ s2(X0)
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X1,sK25(X0))],[f142]) ).
fof(f144,plain,
( ! [X0] :
( gt(n0,X0)
| ~ s3(X0)
| ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
| ~ bcapacityex(X0) )
& s2(n0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& bcapacityex(n0) ),
inference(rectify,[],[f101]) ).
fof(f145,plain,
( ! [X0] :
( gt(n0,X0)
| ~ s3(X0)
| ( ~ conditionhyper(sK26(X0))
& gt(X0,sK26(X0)) )
| ~ bcapacityex(X0) )
& s2(n0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& bcapacityex(n0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X1,sK26(X0))],[f144]) ).
fof(f146,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f149,plain,
! [X0] :
( ~ bcapacityex(X0)
| ~ bcapacityne(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
! [X0] :
( ~ bcapacitysn(X0)
| ~ bcapacityex(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f195,plain,
! [X0] :
( ~ s3(X0)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f198,plain,
! [X0] :
( ~ sP3(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f202,plain,
! [X0] :
( ~ sP2(X0)
| bcapacityne(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f206,plain,
! [X2,X0] :
( gt(X0,X2)
| uptakepg(X2)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f212,plain,
! [X0] :
( bcapacitysn(X0)
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ~ gt(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f213,plain,
! [X0] :
( bcapacitysn(X0)
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ~ conditionnormo(sK18(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f225,plain,
! [X0] :
( ~ drugi(X0)
| s3(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f226,plain,
! [X0,X1] :
( ~ gt(X0,sK20(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f227,plain,
! [X0,X1] :
( ~ uptakepg(sK20(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f244,plain,
! [X3,X0] :
( bcapacityex(sK25(X0))
| gt(X0,X3)
| conditionnormo(X3)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f245,plain,
! [X2,X3,X0] :
( ~ gt(sK25(X0),X2)
| conditionhyper(X2)
| ~ s2(X0)
| conditionnormo(X3)
| gt(X0,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f246,plain,
! [X3,X0] :
( s3(sK25(X0))
| gt(X0,X3)
| conditionnormo(X3)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f247,plain,
! [X3,X0] :
( ~ gt(X0,sK25(X0))
| ~ s2(X0)
| conditionnormo(X3)
| gt(X0,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f248,plain,
bcapacityex(n0),
inference(cnf_transformation,[],[f145]) ).
fof(f250,plain,
s2(n0),
inference(cnf_transformation,[],[f145]) ).
fof(f251,plain,
! [X0] :
( gt(X0,sK26(X0))
| ~ s3(X0)
| gt(n0,X0)
| ~ bcapacityex(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f252,plain,
! [X0] :
( ~ conditionhyper(sK26(X0))
| ~ s3(X0)
| gt(n0,X0)
| ~ bcapacityex(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f255,plain,
~ s3(n0),
inference(unit_resulting_resolution,[],[f195,f250]) ).
fof(f256,plain,
~ bcapacityne(n0),
inference(unit_resulting_resolution,[],[f149,f248]) ).
fof(f257,plain,
~ bcapacitysn(n0),
inference(unit_resulting_resolution,[],[f151,f248]) ).
fof(f260,plain,
~ sP2(n0),
inference(unit_resulting_resolution,[],[f202,f256]) ).
fof(f263,plain,
~ drugi(n0),
inference(unit_resulting_resolution,[],[f225,f255]) ).
fof(f273,plain,
~ uptakepg(sK20(n0)),
inference(unit_resulting_resolution,[],[f227,f263,f146]) ).
fof(f282,plain,
~ gt(n0,sK20(n0)),
inference(unit_resulting_resolution,[],[f226,f263,f146]) ).
fof(f290,plain,
~ sP1(n0),
inference(unit_resulting_resolution,[],[f206,f273,f282]) ).
fof(f299,plain,
! [X0] :
( ~ conditionnormo(sK18(X0))
| sP2(X0)
| sP1(X0)
| bcapacitysn(X0) ),
inference(forward_subsumption_resolution,[],[f213,f198]) ).
fof(f300,plain,
~ conditionnormo(sK18(n0)),
inference(unit_resulting_resolution,[],[f299,f257,f290,f260]) ).
fof(f308,plain,
! [X0] :
( ~ gt(X0,sK18(X0))
| sP2(X0)
| sP1(X0)
| bcapacitysn(X0) ),
inference(forward_subsumption_resolution,[],[f212,f198]) ).
fof(f309,plain,
~ gt(n0,sK18(n0)),
inference(unit_resulting_resolution,[],[f308,f257,f290,f260]) ).
fof(f363,plain,
bcapacityex(sK25(n0)),
inference(unit_resulting_resolution,[],[f244,f250,f300,f309]) ).
fof(f364,plain,
s3(sK25(n0)),
inference(unit_resulting_resolution,[],[f246,f250,f300,f309]) ).
fof(f365,plain,
~ gt(n0,sK25(n0)),
inference(unit_resulting_resolution,[],[f247,f250,f300,f309]) ).
fof(f469,plain,
gt(sK25(n0),sK26(sK25(n0))),
inference(unit_resulting_resolution,[],[f251,f363,f364,f365]) ).
fof(f470,plain,
~ conditionhyper(sK26(sK25(n0))),
inference(unit_resulting_resolution,[],[f252,f363,f364,f365]) ).
fof(f792,plain,
$false,
inference(unit_resulting_resolution,[],[f245,f300,f309,f250,f470,f469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MED010+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.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 17:10:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.25/1.42 % (2815447)Detected formulas, will run a generic FOF schedule.
% 3.25/1.42 % (2815503)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2169012431:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.25/1.42 % (2815503)Instruction limit reached!
% 3.25/1.42 % (2815503)------------------------------
% 3.25/1.42 % (2815503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.42 % (2815503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.42 % (2815503)CaDiCaL version: 2.1.3
% 3.25/1.42 % (2815503)Termination reason: Instruction limit
% 3.25/1.42 % (2815503)Termination phase: Saturation
% 3.25/1.42 % (2815503)Time elapsed: 0.034 s
% 3.25/1.42 % (2815503)Peak memory usage: 88 MB
% 3.25/1.42 % (2815503)Instructions burned: 122 (million)
% 3.25/1.42 % (2815499)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=847366180:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.25/1.42 % (2815501)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=1596322421:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.25/1.42 % (2815500)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=2329923858:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.25/1.42 % (2815502)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2914823340:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.25/1.42 % (2815502)Refutation not found, incomplete strategy
% 3.25/1.42 % (2815502)------------------------------
% 3.25/1.42 % (2815502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.42 % (2815502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.42 % (2815502)CaDiCaL version: 2.1.3
% 3.25/1.42 % (2815502)Termination reason: Refutation not found, incomplete strategy
% 3.25/1.42 % (2815502)Time elapsed: 0.001 s
% 3.25/1.42 % (2815502)Peak memory usage: 87 MB
% 3.25/1.42 % (2815504)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3400790634:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.25/1.42 % (2815505)dis-21_1_sil=8000:lcm=predicate:random_seed=2834313984: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)
% 3.25/1.42 % (2815505)Instruction limit reached!
% 3.25/1.42 % (2815505)------------------------------
% 3.25/1.42 % (2815505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.42 % (2815505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.42 % (2815505)CaDiCaL version: 2.1.3
% 3.25/1.42 % (2815505)Termination reason: Instruction limit
% 3.25/1.42 % (2815505)Termination phase: Saturation
% 3.25/1.42 % (2815505)Time elapsed: 0.048 s
% 3.25/1.42 % (2815505)Peak memory usage: 88 MB
% 3.25/1.42 % (2815505)Instructions burned: 130 (million)
% 3.25/1.42 % (2815504)Instruction limit reached!
% 3.25/1.42 % (2815504)------------------------------
% 3.25/1.42 % (2815504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.42 % (2815504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.42 % (2815504)CaDiCaL version: 2.1.3
% 3.25/1.42 % (2815504)Termination reason: Instruction limit
% 3.25/1.42 % (2815504)Termination phase: Saturation
% 3.25/1.42 % (2815504)Time elapsed: 0.074 s
% 3.25/1.42 % (2815504)Peak memory usage: 88 MB
% 3.25/1.42 % (2815504)Instructions burned: 139 (million)
% 3.25/1.42 % (2815511)lrs+10_1_sil=8000:sp=occurrence:random_seed=3051802081:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.25/1.42 % (2815511)Instruction limit reached!
% 3.25/1.42 % (2815511)------------------------------
% 3.25/1.42 % (2815511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.42 % (2815511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.42 % (2815511)CaDiCaL version: 2.1.3
% 3.25/1.42 % (2815511)Termination reason: Instruction limit
% 3.25/1.42 % (2815511)Termination phase: Saturation
% 3.25/1.42 % (2815511)Time elapsed: 0.068 s
% 3.25/1.42 % (2815511)Peak memory usage: 89 MB
% 3.25/1.42 % (2815511)Instructions burned: 289 (million)
% 3.25/1.42 % (2815514)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4034606845:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.25/1.42 % (2815514)Refutation not found, incomplete strategy
% 3.25/1.42 % (2815514)------------------------------
% 3.25/1.42 % (2815514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.42 % (2815514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.42 % (2815514)CaDiCaL version: 2.1.3
% 3.25/1.42 % (2815514)Termination reason: Refutation not found, incomplete strategy
% 3.25/1.42 % (2815514)Time elapsed: 0.001 s
% 3.25/1.42 % (2815514)Peak memory usage: 88 MB
% 3.25/1.42 % (2815515)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3260140744:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.25/1.42 % (2815517)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2119926989:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.25/1.42 % (2815502)------------------------------
% 3.25/1.42 % (2815502)------------------------------
% 3.25/1.42 % (2815517)First to succeed.
% 3.25/1.42 % (2815517)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2815447"
% 3.25/1.42 [W927 17:10:37.200612692 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.25/1.42 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.25/1.42 [W927 17:10:37.200658252 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.25/1.42 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.25/1.42 % (2815521)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3208016796:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.25/1.42 % (2815515)Instruction limit reached!
% 3.25/1.42 % (2815515)------------------------------
% 3.25/1.42 % (2815515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.42 % (2815515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.42 % (2815515)CaDiCaL version: 2.1.3
% 3.25/1.42 % (2815515)Termination reason: Instruction limit
% 3.25/1.42 % (2815515)Termination phase: Saturation
% 3.25/1.42 % (2815515)Time elapsed: 0.199 s
% 3.25/1.42 % (2815515)Peak memory usage: 91 MB
% 3.25/1.42 % (2815515)Instructions burned: 326 (million)
% 3.25/1.42 % (2815517)Refutation found. Thanks to Tanya!
% 3.25/1.42 % SZS status Theorem for theBenchmark
% 3.25/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.63/1.61 % (2815517)------------------------------
% 4.63/1.61 % (2815517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.61 % (2815517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.61 % (2815517)CaDiCaL version: 2.1.3
% 4.63/1.61 % (2815517)Termination reason: Refutation
% 4.63/1.61 % (2815517)Time elapsed: 0.018 s
% 4.63/1.61 % (2815517)Peak memory usage: 89 MB
% 4.63/1.61 % (2815517)Instructions burned: 60 (million)
% 4.63/1.61 % (2815517)------------------------------
% 4.63/1.61 % (2815517)------------------------------
% 4.63/1.61 % (2815447)Success in time 0.56 s
% 4.63/1.61 % Vampire exiting
%------------------------------------------------------------------------------