%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MED009+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 02:11:10 PM UTC 2026
% Result : Theorem 0.07s 15.99s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 129 ( 11 unt; 3 def)
% Number of atoms : 728 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 878 ( 279 ~; 387 |; 160 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 271 ( 0 sgn 252 !; 19 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',irreflexivity_gt) ).
fof(f24,axiom,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',xorstep6) ).
fof(f26,axiom,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
=> ( ( ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& bcapacityex(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) )
& ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) ) )
| ( ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) )
& bcapacityne(X0)
& ( ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) )
| ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) ) ) )
| ( ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) ) )
| ( ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',normo) ).
fof(f33,axiom,
! [X0] :
( drugi(X0)
=> s3(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',insulincomp) ).
fof(f34,axiom,
! [X0] :
( ( ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) )
| ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) ) )
=> ! [X1] :
( ~ gt(X0,X1)
=> drugi(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',insulin_completion) ).
fof(f35,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
=> ( ~ releaselg(X1)
=> uptakelg(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',uptake_completion) ).
fof(f39,axiom,
! [X0] :
( ( ~ ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
& s1(X0) )
=> ? [X1] :
( ( bcapacityex(X1)
| bcapacityne(X1) )
& ! [X2] :
( gt(X1,X2)
=> conditionhyper(X2) )
& s2(X1)
& ~ gt(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',trans_ax2) ).
fof(f41,conjecture,
( ( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& s1(n0) )
=> ? [X0] :
( ( bcapacityex(X0)
| bcapacityne(X0) )
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& s2(X0)
& ~ gt(n0,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transs1s2_qige27) ).
fof(f42,negated_conjecture,
~ ( ( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& s1(n0) )
=> ? [X0] :
( ( bcapacityex(X0)
| bcapacityne(X0) )
& ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& s2(X0)
& ~ gt(n0,X0) ) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
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(f44,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(f45,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
=> ( ( ! [X12] :
( gt(X0,X12)
=> conditionhyper(X12) )
& bcapacityex(X0)
& ! [X11] :
( ~ gt(X0,X11)
=> uptakepg(X11) )
& ! [X10] :
( ~ gt(X0,X10)
=> uptakelg(X10) ) )
| ( ! [X9] :
( gt(X0,X9)
=> conditionhyper(X9) )
& ! [X8] :
( ~ gt(X0,X8)
=> bsecretioni(X8) )
& bcapacityne(X0)
& ( ! [X7] :
( ~ gt(X0,X7)
=> uptakepg(X7) )
| ! [X6] :
( ~ gt(X0,X6)
=> ~ releaselg(X6) ) ) )
| ( ! [X5] :
( gt(X0,X5)
=> conditionhyper(X5) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X4] :
( ~ gt(X0,X4)
=> ~ releaselg(X4) ) )
| ( ! [X3] :
( gt(X0,X3)
=> conditionhyper(X3) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( ~ gt(X0,X2)
=> bsecretioni(X2) ) ) ) ),
inference(rectify,[],[f26]) ).
fof(f50,plain,
! [X0] :
( ( ! [X2] :
( ~ gt(X0,X2)
=> uptakepg(X2) )
| ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) ) )
=> ! [X3] :
( ~ gt(X0,X3)
=> drugi(X3) ) ),
inference(rectify,[],[f34]) ).
fof(f57,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(ennf_transformation,[],[f43]) ).
fof(f58,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(flattening,[],[f57]) ).
fof(f61,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(ennf_transformation,[],[f44]) ).
fof(f62,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(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& ~ conditionnormo(X1) )
| ( ! [X12] :
( ~ gt(X0,X12)
| conditionhyper(X12) )
& bcapacityex(X0)
& ! [X11] :
( gt(X0,X11)
| uptakepg(X11) )
& ! [X10] :
( gt(X0,X10)
| uptakelg(X10) ) )
| ( ! [X9] :
( ~ gt(X0,X9)
| conditionhyper(X9) )
& ! [X8] :
( gt(X0,X8)
| bsecretioni(X8) )
& bcapacityne(X0)
& ( ! [X7] :
( gt(X0,X7)
| uptakepg(X7) )
| ! [X6] :
( gt(X0,X6)
| ~ releaselg(X6) ) ) )
| ( ! [X5] :
( ~ gt(X0,X5)
| conditionhyper(X5) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X4] :
( gt(X0,X4)
| ~ releaselg(X4) ) )
| ( ! [X3] :
( ~ gt(X0,X3)
| conditionhyper(X3) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( gt(X0,X2)
| bsecretioni(X2) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& ~ conditionnormo(X1) )
| ( ! [X12] :
( ~ gt(X0,X12)
| conditionhyper(X12) )
& bcapacityex(X0)
& ! [X11] :
( gt(X0,X11)
| uptakepg(X11) )
& ! [X10] :
( gt(X0,X10)
| uptakelg(X10) ) )
| ( ! [X9] :
( ~ gt(X0,X9)
| conditionhyper(X9) )
& ! [X8] :
( gt(X0,X8)
| bsecretioni(X8) )
& bcapacityne(X0)
& ( ! [X7] :
( gt(X0,X7)
| uptakepg(X7) )
| ! [X6] :
( gt(X0,X6)
| ~ releaselg(X6) ) ) )
| ( ! [X5] :
( ~ gt(X0,X5)
| conditionhyper(X5) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X4] :
( gt(X0,X4)
| ~ releaselg(X4) ) )
| ( ! [X3] :
( ~ gt(X0,X3)
| conditionhyper(X3) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( gt(X0,X2)
| bsecretioni(X2) ) ) ),
inference(flattening,[],[f63]) ).
fof(f79,plain,
! [X0,X1] :
( gt(X0,X1)
| releaselg(X1)
| uptakelg(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f80,plain,
! [X0,X1] :
( gt(X0,X1)
| releaselg(X1)
| uptakelg(X1) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( ? [X2] :
( ~ gt(X0,X2)
& ~ uptakepg(X2) )
& ? [X1] :
( ~ gt(X0,X1)
& ~ uptakelg(X1) ) )
| ! [X3] :
( gt(X0,X3)
| drugi(X3) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f95,plain,
! [X0] :
( ~ drugi(X0)
| s3(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f102,plain,
( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) )
& s1(n0)
& ! [X0] :
( ( ~ bcapacityex(X0)
& ~ bcapacityne(X0) )
| ? [X1] :
( gt(X0,X1)
& ~ conditionhyper(X1) )
| ~ s2(X0)
| gt(n0,X0) ) ),
inference(rectify,[],[f58]) ).
fof(f103,plain,
( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) )
& s1(n0)
& ! [X0] :
( ( ~ bcapacityex(X0)
& ~ bcapacityne(X0) )
| ( gt(X0,sK4(X0))
& ~ conditionhyper(sK4(X0)) )
| ~ s2(X0)
| gt(n0,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f102]) ).
fof(f104,plain,
! [X0] :
( ! [X3] :
( gt(X0,X3)
| conditionnormo(X3) )
| ~ s1(X0)
| ? [X1] :
( ( bcapacityex(X1)
| bcapacityne(X1) )
& ! [X2] :
( ~ gt(X1,X2)
| conditionhyper(X2) )
& s2(X1)
& ~ gt(X0,X1) ) ),
inference(rectify,[],[f62]) ).
fof(f105,plain,
! [X0] :
( ! [X3] :
( gt(X0,X3)
| conditionnormo(X3) )
| ~ s1(X0)
| ( ( bcapacityex(sK5(X0))
| bcapacityne(sK5(X0)) )
& ! [X2] :
( ~ gt(sK5(X0),X2)
| conditionhyper(X2) )
& s2(sK5(X0))
& ~ gt(X0,sK5(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f104]) ).
fof(f106,plain,
! [X0] :
( ~ sP2(X0)
| ( ! [X5] :
( ~ gt(X0,X5)
| conditionhyper(X5) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X4] :
( gt(X0,X4)
| ~ releaselg(X4) ) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f107,plain,
! [X0] :
( ~ sP2(X0)
| ( ! [X2] :
( ~ gt(X0,X2)
| conditionhyper(X2) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( gt(X0,X1)
| ~ releaselg(X1) ) ) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X9] :
( ~ gt(X0,X9)
| conditionhyper(X9) )
& ! [X8] :
( gt(X0,X8)
| bsecretioni(X8) )
& bcapacityne(X0)
& ( ! [X7] :
( gt(X0,X7)
| uptakepg(X7) )
| ! [X6] :
( gt(X0,X6)
| ~ releaselg(X6) ) ) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f109,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X4] :
( ~ gt(X0,X4)
| conditionhyper(X4) )
& ! [X3] :
( gt(X0,X3)
| bsecretioni(X3) )
& bcapacityne(X0)
& ( ! [X2] :
( gt(X0,X2)
| uptakepg(X2) )
| ! [X1] :
( gt(X0,X1)
| ~ releaselg(X1) ) ) ) ),
inference(rectify,[],[f108]) ).
fof(f112,plain,
! [X0] :
( ? [X3] :
( ~ gt(X0,X3)
& ~ conditionnormo(X3) )
| sP0(X0)
| sP1(X0)
| sP2(X0)
| ( ! [X2] :
( ~ gt(X0,X2)
| conditionhyper(X2) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( gt(X0,X1)
| bsecretioni(X1) ) ) ),
inference(rectify,[],[f99]) ).
fof(f113,plain,
! [X0] :
( ( ~ gt(X0,sK6(X0))
& ~ conditionnormo(sK6(X0)) )
| sP0(X0)
| sP1(X0)
| sP2(X0)
| ( ! [X2] :
( ~ gt(X0,X2)
| conditionhyper(X2) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( gt(X0,X1)
| bsecretioni(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0))],[f112]) ).
fof(f124,plain,
! [X0] :
( ( ? [X3] :
( ~ gt(X0,X3)
& ~ uptakepg(X3) )
& ? [X2] :
( ~ gt(X0,X2)
& ~ uptakelg(X2) ) )
| ! [X1] :
( gt(X0,X1)
| drugi(X1) ) ),
inference(rectify,[],[f81]) ).
fof(f125,plain,
! [X0] :
( ( ~ gt(X0,sK17(X0))
& ~ uptakepg(sK17(X0))
& ~ gt(X0,sK16(X0))
& ~ uptakelg(sK16(X0)) )
| ! [X1] :
( gt(X0,X1)
| drugi(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0))],[f124]) ).
fof(f138,plain,
~ qilt27(n0),
inference(cnf_transformation,[],[f103]) ).
fof(f139,plain,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f103]) ).
fof(f141,plain,
s1(n0),
inference(cnf_transformation,[],[f103]) ).
fof(f142,plain,
! [X0] :
( ~ bcapacityex(X0)
| gt(X0,sK4(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f143,plain,
! [X0] :
( ~ bcapacityne(X0)
| gt(X0,sK4(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f144,plain,
! [X0] :
( ~ bcapacityex(X0)
| ~ conditionhyper(sK4(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f145,plain,
! [X0] :
( ~ bcapacityne(X0)
| ~ conditionhyper(sK4(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f147,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f148,plain,
! [X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| bcapacityex(sK5(X0))
| bcapacityne(sK5(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f149,plain,
! [X2,X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| ~ gt(sK5(X0),X2)
| conditionhyper(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f150,plain,
! [X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| s2(sK5(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f151,plain,
! [X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| ~ gt(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f154,plain,
! [X0] :
( ~ sP2(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| gt(X0,X2)
| uptakepg(X2)
| gt(X0,X1)
| ~ releaselg(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f167,plain,
! [X0] :
( ~ conditionnormo(sK6(X0))
| sP0(X0)
| sP1(X0)
| sP2(X0)
| qilt27(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f168,plain,
! [X0] :
( ~ gt(X0,sK6(X0))
| sP0(X0)
| sP1(X0)
| sP2(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f169,plain,
! [X0] :
( ~ conditionnormo(sK6(X0))
| sP0(X0)
| sP1(X0)
| sP2(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f201,plain,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f204,plain,
! [X0,X1] :
( gt(X0,X1)
| releaselg(X1)
| uptakelg(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f205,plain,
! [X0,X1] :
( ~ gt(X0,sK17(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f206,plain,
! [X0,X1] :
( ~ uptakepg(sK17(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f207,plain,
! [X0,X1] :
( ~ gt(X0,sK16(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f208,plain,
! [X0,X1] :
( ~ uptakelg(sK16(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f236,plain,
! [X0] :
( ~ drugi(X0)
| s3(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| ~ bcapacityne(X0)
| ~ s2(X0)
| ~ conditionhyper(sK4(X0)) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| ~ bcapacityex(X0)
| ~ s2(X0)
| ~ conditionhyper(sK4(X0)) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| gt(X0,sK4(X0))
| ~ bcapacityne(X0)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| gt(X0,sK4(X0))
| ~ bcapacityex(X0)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_53,negated_conjecture,
s1(n0),
inference(cnf_transformation,[],[f141]) ).
tcf(c_55,negated_conjecture,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f139]) ).
tcf(c_56,negated_conjecture,
~ qilt27(n0),
inference(cnf_transformation,[],[f138]) ).
tcf(c_58,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f147]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| gt(X0,X1)
| ~ s1(X0)
| ~ gt(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| s2(sK5(X0))
| gt(X0,X1)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( conditionnormo(X2)
| conditionhyper(X1)
| gt(X0,X2)
| ~ s1(X0)
| ~ gt(sK5(X0),X1) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| bcapacityex(sK5(X0))
| bcapacityne(sK5(X0))
| gt(X0,X1)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_64,plain,
! [X0: $i] :
( bcapacitysn(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( uptakepg(X2)
| gt(X1,X2)
| gt(X1,X0)
| ~ sP1(X1)
| ~ releaselg(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_77,plain,
! [X0: $i] :
( sP0(X0)
| sP1(X0)
| sP2(X0)
| bcapacitysn(X0)
| ~ conditionnormo(sK6(X0)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_78,plain,
! [X0: $i] :
( sP0(X0)
| sP1(X0)
| sP2(X0)
| bcapacitysn(X0)
| ~ gt(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_79,plain,
! [X0: $i] :
( sP0(X0)
| sP1(X0)
| sP2(X0)
| qilt27(X0)
| ~ conditionnormo(sK6(X0)) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_112,plain,
! [X0: $i] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( uptakelg(X1)
| releaselg(X1)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ uptakelg(sK16(X0)) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ gt(X0,sK16(X0)) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ uptakepg(sK17(X0)) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ gt(X0,sK17(X0)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_147,plain,
! [X0: $i] :
( s3(X0)
| ~ drugi(X0) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_151,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_152,plain,
( s3(n0)
| ~ drugi(n0) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_158,plain,
( bcapacitysn(n0)
| ~ sP2(n0) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_164,plain,
( ~ s3(n0)
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_184,plain,
( drugi(n0)
| gt(n0,n0)
| ~ uptakepg(sK17(n0)) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_192,plain,
( drugi(n0)
| gt(n0,n0)
| ~ gt(n0,sK17(n0)) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_193,plain,
( drugi(n0)
| gt(n0,n0)
| ~ gt(n0,sK16(n0)) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_230,plain,
! [X0: $i] :
( sP0(X0)
| sP1(X0)
| ~ conditionnormo(sK6(X0))
| bcapacitysn(X0) ),
inference(global_subsumption_just,[status(thm)],[c_77,c_64,c_77]) ).
tcf(c_231,plain,
! [X0: $i] :
( sP0(X0)
| sP1(X0)
| bcapacitysn(X0)
| ~ conditionnormo(sK6(X0)) ),
inference(renaming,[status(thm)],[c_230]) ).
tcf(c_233,plain,
! [X0: $i] :
( sP0(X0)
| sP1(X0)
| ~ gt(X0,sK6(X0))
| bcapacitysn(X0) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_64,c_78]) ).
tcf(c_234,plain,
! [X0: $i] :
( sP0(X0)
| sP1(X0)
| bcapacitysn(X0)
| ~ gt(X0,sK6(X0)) ),
inference(renaming,[status(thm)],[c_233]) ).
tcf(c_4750,plain,
! [X0: $i,X1: $i,X2: $i] :
( drugi(X2)
| releaselg(sK16(X1))
| gt(X1,X2)
| gt(X0,sK16(X1)) ),
inference(resolution,[status(thm)],[c_115,c_116]) ).
tcf(c_4751,plain,
( drugi(n0)
| releaselg(sK16(n0))
| gt(n0,n0)
| gt(n0,sK16(n0)) ),
inference(instantiation,[status(thm)],[c_4750]) ).
tcf(c_8315,plain,
( sP0(n0)
| sP1(n0)
| ~ gt(n0,sK6(n0)) ),
inference(resolution,[status(thm)],[c_55,c_234]) ).
tcf(c_8324,plain,
( sP0(n0)
| sP1(n0)
| ~ conditionnormo(sK6(n0)) ),
inference(resolution,[status(thm)],[c_55,c_231]) ).
tcf(c_13684,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| sP1(X1)
| sP2(X1)
| qilt27(X1)
| bcapacityex(sK5(X0))
| bcapacityne(sK5(X0))
| gt(X0,sK6(X1))
| ~ s1(X0) ),
inference(resolution,[status(thm)],[c_62,c_79]) ).
tcf(c_13685,plain,
( sP0(n0)
| sP1(n0)
| sP2(n0)
| qilt27(n0)
| bcapacityex(sK5(n0))
| bcapacityne(sK5(n0))
| gt(n0,sK6(n0))
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_13684]) ).
tcf(c_13769,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| sP1(X1)
| sP2(X1)
| qilt27(X1)
| s2(sK5(X0))
| gt(X0,sK6(X1))
| ~ s1(X0) ),
inference(resolution,[status(thm)],[c_60,c_79]) ).
tcf(c_13770,plain,
( sP0(n0)
| sP1(n0)
| sP2(n0)
| qilt27(n0)
| s2(sK5(n0))
| gt(n0,sK6(n0))
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_13769]) ).
tcf(c_13831,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| sP1(X1)
| bcapacitysn(X1)
| gt(X0,sK6(X1))
| ~ s1(X0)
| ~ gt(X0,sK5(X0)) ),
inference(resolution,[status(thm)],[c_59,c_231]) ).
tcf(c_13832,plain,
( sP0(n0)
| sP1(n0)
| bcapacitysn(n0)
| gt(n0,sK6(n0))
| ~ s1(n0)
| ~ gt(n0,sK5(n0)) ),
inference(instantiation,[status(thm)],[c_13831]) ).
tcf(c_29170,plain,
! [X0: $i,X1: $i,X2: $i] :
( conditionhyper(X1)
| conditionnormo(sK6(X2))
| gt(X0,sK6(X2))
| ~ s1(X0)
| ~ gt(sK5(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_29189,plain,
! [X0: $i,X1: $i,X2: $i] :
( uptakepg(X2)
| gt(X1,X2)
| gt(X1,sK16(X0))
| ~ sP1(X1)
| ~ releaselg(sK16(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_29210,plain,
! [X0: $i,X1: $i,X2: $i] :
( uptakepg(sK17(X2))
| gt(X1,sK17(X2))
| gt(X1,sK16(X0))
| ~ sP1(X1)
| ~ releaselg(sK16(X0)) ),
inference(instantiation,[status(thm)],[c_29189]) ).
tcf(c_29211,plain,
( uptakepg(sK17(n0))
| gt(n0,sK17(n0))
| gt(n0,sK16(n0))
| ~ sP1(n0)
| ~ releaselg(sK16(n0)) ),
inference(instantiation,[status(thm)],[c_29210]) ).
tcf(c_29265,plain,
! [X0: $i] :
( gt(n0,sK5(X0))
| gt(sK5(X0),sK4(sK5(X0)))
| ~ bcapacityex(sK5(X0))
| ~ s2(sK5(X0)) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_29266,plain,
! [X0: $i] :
( gt(n0,sK5(X0))
| gt(sK5(X0),sK4(sK5(X0)))
| ~ bcapacityne(sK5(X0))
| ~ s2(sK5(X0)) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_29267,plain,
! [X0: $i] :
( gt(n0,sK5(X0))
| ~ bcapacityex(sK5(X0))
| ~ s2(sK5(X0))
| ~ conditionhyper(sK4(sK5(X0))) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_29268,plain,
! [X0: $i] :
( gt(n0,sK5(X0))
| ~ bcapacityne(sK5(X0))
| ~ s2(sK5(X0))
| ~ conditionhyper(sK4(sK5(X0))) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_29269,plain,
( gt(n0,sK5(n0))
| ~ bcapacityne(sK5(n0))
| ~ s2(sK5(n0))
| ~ conditionhyper(sK4(sK5(n0))) ),
inference(instantiation,[status(thm)],[c_29268]) ).
tcf(c_29270,plain,
( gt(n0,sK5(n0))
| ~ bcapacityex(sK5(n0))
| ~ s2(sK5(n0))
| ~ conditionhyper(sK4(sK5(n0))) ),
inference(instantiation,[status(thm)],[c_29267]) ).
tcf(c_29271,plain,
( gt(n0,sK5(n0))
| gt(sK5(n0),sK4(sK5(n0)))
| ~ bcapacityne(sK5(n0))
| ~ s2(sK5(n0)) ),
inference(instantiation,[status(thm)],[c_29266]) ).
tcf(c_29272,plain,
( gt(n0,sK5(n0))
| gt(sK5(n0),sK4(sK5(n0)))
| ~ bcapacityex(sK5(n0))
| ~ s2(sK5(n0)) ),
inference(instantiation,[status(thm)],[c_29265]) ).
tcf(c_29301,plain,
! [X0: $i,X1: $i] :
( conditionnormo(sK6(X1))
| conditionhyper(sK4(sK5(X0)))
| gt(X0,sK6(X1))
| ~ s1(X0)
| ~ gt(sK5(X0),sK4(sK5(X0))) ),
inference(instantiation,[status(thm)],[c_29170]) ).
tcf(c_29302,plain,
( conditionnormo(sK6(n0))
| conditionhyper(sK4(sK5(n0)))
| gt(n0,sK6(n0))
| ~ s1(n0)
| ~ gt(sK5(n0),sK4(sK5(n0))) ),
inference(instantiation,[status(thm)],[c_29301]) ).
fof(f96,definition,
! [X0] :
( ~ sP0(X0)
| ( ! [X12] :
( ~ gt(X0,X12)
| conditionhyper(X12) )
& bcapacityex(X0)
& ! [X11] :
( gt(X0,X11)
| uptakepg(X11) )
& ! [X10] :
( gt(X0,X10)
| uptakelg(X10) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f97,definition,
! [X0] :
( ~ sP1(X0)
| ( ! [X9] :
( ~ gt(X0,X9)
| conditionhyper(X9) )
& ! [X8] :
( gt(X0,X8)
| bsecretioni(X8) )
& bcapacityne(X0)
& ( ! [X7] :
( gt(X0,X7)
| uptakepg(X7) )
| ! [X6] :
( gt(X0,X6)
| ~ releaselg(X6) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f98,definition,
! [X0] :
( ~ sP2(X0)
| ( ! [X5] :
( ~ gt(X0,X5)
| conditionhyper(X5) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X4] :
( gt(X0,X4)
| ~ releaselg(X4) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f99,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& ~ conditionnormo(X1) )
| sP0(X0)
| sP1(X0)
| sP2(X0)
| ( ! [X3] :
( ~ gt(X0,X3)
| conditionhyper(X3) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( gt(X0,X2)
| bsecretioni(X2) ) ) ),
inference(definition_folding,[],[f64,f98,f97,f96]) ).
fof(f110,plain,
! [X0] :
( ~ sP0(X0)
| ( ! [X12] :
( ~ gt(X0,X12)
| conditionhyper(X12) )
& bcapacityex(X0)
& ! [X11] :
( gt(X0,X11)
| uptakepg(X11) )
& ! [X10] :
( gt(X0,X10)
| uptakelg(X10) ) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f111,plain,
! [X0] :
( ~ sP0(X0)
| ( ! [X3] :
( ~ gt(X0,X3)
| conditionhyper(X3) )
& bcapacityex(X0)
& ! [X2] :
( gt(X0,X2)
| uptakepg(X2) )
& ! [X1] :
( gt(X0,X1)
| uptakelg(X1) ) ) ),
inference(rectify,[],[f110]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sP0(X0)
| gt(X0,X1)
| uptakelg(X1) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( uptakelg(X1)
| gt(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_4764,plain,
! [X0: $i,X1: $i,X2: $i] :
( drugi(X2)
| gt(X1,X2)
| gt(X0,sK16(X1))
| ~ sP0(X0) ),
inference(resolution,[status(thm)],[c_71,c_116]) ).
tcf(c_4765,plain,
( drugi(n0)
| gt(n0,n0)
| gt(n0,sK16(n0))
| ~ sP0(n0) ),
inference(instantiation,[status(thm)],[c_4764]) ).
tcf(c_29303,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29302,c_29272,c_29271,c_29270,c_29269,c_29211,c_13832,c_13770,c_13685,c_8324,c_8315,c_4765,c_4751,c_193,c_192,c_184,c_164,c_158,c_152,c_151,c_55,c_56,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MED009+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/15.32 % Computer : n012.cluster.edu
% 0.04/15.32 % Model : x86_64 x86_64
% 0.04/15.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/15.32 % Memory : 8046.5625MB
% 0.04/15.32 % OS : Linux 6.8.0-71-generic
% 0.04/15.33 % CPULimit : 300
% 0.04/15.33 % WCLimit : 300
% 0.04/15.33 % DateTime : Thu Sep 24 00:54:22 UTC 2026
% 0.04/15.33 % CPUTime :
% 0.04/15.33 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/15.35 Running first-order theorem proving
% 0.04/15.35 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/15.35
% 0.04/15.35 % ======== iProver multi-core TPTP/SMT =========
% 0.04/15.35
% 0.04/15.35 % Detected problem language: tptp
% 0.04/15.36 % Proving...
% 0.07/15.99 % SZS status Started for theBenchmark.p
% 0.07/15.99 % SZS status Theorem for theBenchmark.p
% 0.07/15.99
% 0.07/15.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.07/15.99
% 0.07/15.99 % ------ iProver source info
% 0.07/15.99
% 0.07/15.99 % git: date: 2026-07-19 20:42:38 +0200
% 0.07/15.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.07/15.99 % git: non_committed_changes: false
% 0.07/15.99
% 0.07/15.99 % ------ Parsing...
% 0.07/15.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.07/15.99
% 0.07/15.99 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.07/15.99
% 0.07/15.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.07/15.99 % ------ Proving...
% 0.07/15.99 % ------ Problem Properties
% 0.07/15.99
% 0.07/15.99 %
% 0.07/15.99 % clauses 96
% 0.07/15.99 % conjectures 8
% 0.07/15.99 % EPR 34
% 0.07/15.99 % Horn 41
% 0.07/15.99 % unary 4
% 0.07/15.99 % binary 20
% 0.07/15.99 % lits 351
% 0.07/15.99 % lits eq 0
% 0.07/15.99 % fd_pure 0
% 0.07/15.99 % fd_pseudo 0
% 0.07/15.99 % fd_cond 0
% 0.07/15.99 % fd_pseudo_cond 0
% 0.07/15.99 % AC symbols 0
% 0.07/15.99
% 0.07/15.99 % ------ Schedule dynamic 5 is on
% 0.07/15.99
% 0.07/15.99 % ------ no equalities: superposition off
% 0.07/15.99
% 0.07/15.99 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.07/15.99
% 0.07/15.99
% 0.07/15.99 % ------
% 0.07/15.99 % Current options:
% 0.07/15.99 % ------
% 0.07/15.99
% 0.07/15.99
% 0.07/15.99 %
% 0.07/15.99
% 0.07/15.99 % ------ Proving...
% 0.07/15.99 %
% 0.07/15.99
% 0.07/15.99 % SZS status Theorem for theBenchmark.p
% 0.07/15.99
% 0.07/15.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.07/16.00
% 0.07/16.00
%------------------------------------------------------------------------------