%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MED002+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 02:11:09 PM UTC 2026
% Result : Theorem 3.20s 1.18s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 99 ( 7 unt; 1 def)
% Number of atoms : 421 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 522 ( 200 ~; 217 |; 69 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-1 aty)
% Number of variables : 160 ( 0 sgn 136 !; 24 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ bcapacityex(X0)
| ~ bcapacityne(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcapacity2) ).
fof(f13,axiom,
! [X0] :
( ( ~ bcapacityex(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> drugsu(X1) ) )
=> ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',sulfonylurea_effect) ).
fof(f14,axiom,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> drugbg(X1) )
=> ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',biguanide_effect) ).
fof(f17,axiom,
! [X0] :
( ( ! [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)
=> conditionnormo(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',ne_cure) ).
fof(f19,conjecture,
( ( bcapacityne(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ! [X0] :
( ~ gt(n0,X0)
=> ( drugsu(X0)
& drugbg(X0) ) ) )
=> ! [X0] :
( ~ gt(n0,X0)
=> conditionnormo(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',treatmentne) ).
fof(f20,negated_conjecture,
~ ( ( bcapacityne(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ! [X0] :
( ~ gt(n0,X0)
=> ( drugsu(X0)
& drugbg(X0) ) ) )
=> ! [X0] :
( ~ gt(n0,X0)
=> conditionnormo(X0) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f22,plain,
! [X0] :
( ( ~ bcapacityex(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> drugsu(X1) ) )
=> ! [X2] :
( ~ gt(X0,X2)
=> bsecretioni(X2) ) ),
inference(rectify,[],[f13]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> drugbg(X1) )
=> ! [X2] :
( ~ gt(X0,X2)
=> ~ releaselg(X2) ) ),
inference(rectify,[],[f14]) ).
fof(f26,plain,
! [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) ) ) )
=> ! [X5] :
( ~ gt(X0,X5)
=> conditionnormo(X5) ) ),
inference(rectify,[],[f17]) ).
fof(f28,plain,
~ ( ( bcapacityne(n0)
& ! [X1] :
( gt(n0,X1)
=> conditionhyper(X1) )
& ! [X0] :
( ~ gt(n0,X0)
=> ( drugsu(X0)
& drugbg(X0) ) ) )
=> ! [X2] :
( ~ gt(n0,X2)
=> conditionnormo(X2) ) ),
inference(rectify,[],[f20]) ).
fof(f35,plain,
! [X0] :
( bcapacityex(X0)
| ? [X1] :
( ~ gt(X0,X1)
& ~ drugsu(X1) )
| ! [X2] :
( gt(X0,X2)
| bsecretioni(X2) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0] :
( bcapacityex(X0)
| ? [X1] :
( ~ gt(X0,X1)
& ~ drugsu(X1) )
| ! [X2] :
( gt(X0,X2)
| bsecretioni(X2) ) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& ~ drugbg(X1) )
| ! [X2] :
( gt(X0,X2)
| ~ releaselg(X2) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f42,plain,
! [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) ) )
| ! [X5] :
( gt(X0,X5)
| conditionnormo(X5) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f43,plain,
! [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) ) )
| ! [X5] :
( gt(X0,X5)
| conditionnormo(X5) ) ),
inference(flattening,[],[f42]) ).
fof(f46,plain,
( bcapacityne(n0)
& ! [X1] :
( ~ gt(n0,X1)
| conditionhyper(X1) )
& ! [X0] :
( gt(n0,X0)
| ( drugsu(X0)
& drugbg(X0) ) )
& ? [X2] :
( ~ gt(n0,X2)
& ~ conditionnormo(X2) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f47,plain,
( bcapacityne(n0)
& ! [X1] :
( ~ gt(n0,X1)
| conditionhyper(X1) )
& ! [X0] :
( gt(n0,X0)
| ( drugsu(X0)
& drugbg(X0) ) )
& ? [X2] :
( ~ gt(n0,X2)
& ~ conditionnormo(X2) ) ),
inference(flattening,[],[f46]) ).
fof(f52,plain,
! [X0] :
( bcapacityex(X0)
| ? [X2] :
( ~ gt(X0,X2)
& ~ drugsu(X2) )
| ! [X1] :
( gt(X0,X1)
| bsecretioni(X1) ) ),
inference(rectify,[],[f36]) ).
fof(f53,plain,
! [X0] :
( bcapacityex(X0)
| ( ~ gt(X0,sK2(X0))
& ~ drugsu(sK2(X0)) )
| ! [X1] :
( gt(X0,X1)
| bsecretioni(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f52]) ).
fof(f54,plain,
! [X0] :
( ? [X2] :
( ~ gt(X0,X2)
& ~ drugbg(X2) )
| ! [X1] :
( gt(X0,X1)
| ~ releaselg(X1) ) ),
inference(rectify,[],[f37]) ).
fof(f55,plain,
! [X0] :
( ( ~ gt(X0,sK3(X0))
& ~ drugbg(sK3(X0)) )
| ! [X1] :
( gt(X0,X1)
| ~ releaselg(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f54]) ).
fof(f62,plain,
! [X0] :
( ? [X3] :
( gt(X0,X3)
& ~ conditionhyper(X3) )
| ? [X2] :
( ~ gt(X0,X2)
& ~ bsecretioni(X2) )
| ~ bcapacityne(X0)
| sP0(X0)
| ! [X1] :
( gt(X0,X1)
| conditionnormo(X1) ) ),
inference(rectify,[],[f49]) ).
fof(f63,plain,
! [X0] :
( ( gt(X0,sK11(X0))
& ~ conditionhyper(sK11(X0)) )
| ( ~ gt(X0,sK10(X0))
& ~ bsecretioni(sK10(X0)) )
| ~ bcapacityne(X0)
| sP0(X0)
| ! [X1] :
( gt(X0,X1)
| conditionnormo(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X2,sK10(X0)),skolemize(X3,sK11(X0))],[f62]) ).
fof(f66,plain,
( bcapacityne(n0)
& ! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) )
& ! [X1] :
( gt(n0,X1)
| ( drugsu(X1)
& drugbg(X1) ) )
& ? [X0] :
( ~ gt(n0,X0)
& ~ conditionnormo(X0) ) ),
inference(rectify,[],[f47]) ).
fof(f67,plain,
( bcapacityne(n0)
& ! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) )
& ! [X1] :
( gt(n0,X1)
| ( drugsu(X1)
& drugbg(X1) ) )
& ~ gt(n0,sK15)
& ~ conditionnormo(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f66]) ).
fof(f71,plain,
! [X0] :
( ~ bcapacityex(X0)
| ~ bcapacityne(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f81,plain,
! [X0,X1] :
( bcapacityex(X0)
| ~ gt(X0,sK2(X0))
| gt(X0,X1)
| bsecretioni(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f82,plain,
! [X0,X1] :
( bcapacityex(X0)
| ~ drugsu(sK2(X0))
| gt(X0,X1)
| bsecretioni(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f83,plain,
! [X0,X1] :
( ~ gt(X0,sK3(X0))
| gt(X0,X1)
| ~ releaselg(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f84,plain,
! [X0,X1] :
( ~ drugbg(sK3(X0))
| gt(X0,X1)
| ~ releaselg(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f97,plain,
! [X0,X1] :
( gt(X0,sK11(X0))
| ~ gt(X0,sK10(X0))
| ~ bcapacityne(X0)
| sP0(X0)
| gt(X0,X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f98,plain,
! [X0,X1] :
( ~ conditionhyper(sK11(X0))
| ~ gt(X0,sK10(X0))
| ~ bcapacityne(X0)
| sP0(X0)
| gt(X0,X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f99,plain,
! [X0,X1] :
( gt(X0,sK11(X0))
| ~ bsecretioni(sK10(X0))
| ~ bcapacityne(X0)
| sP0(X0)
| gt(X0,X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f100,plain,
! [X0,X1] :
( ~ conditionhyper(sK11(X0))
| ~ bsecretioni(sK10(X0))
| ~ bcapacityne(X0)
| sP0(X0)
| gt(X0,X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f109,plain,
bcapacityne(n0),
inference(cnf_transformation,[],[f67]) ).
fof(f110,plain,
! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f111,plain,
! [X1] :
( gt(n0,X1)
| drugsu(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f112,plain,
! [X1] :
( gt(n0,X1)
| drugbg(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f113,plain,
~ gt(n0,sK15),
inference(cnf_transformation,[],[f67]) ).
fof(f114,plain,
~ conditionnormo(sK15),
inference(cnf_transformation,[],[f67]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ bcapacityex(X0)
| ~ bcapacityne(X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( bsecretioni(X1)
| bcapacityex(X0)
| gt(X0,X1)
| ~ drugsu(sK2(X0)) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( bsecretioni(X1)
| bcapacityex(X0)
| gt(X0,X1)
| ~ gt(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ releaselg(X1)
| ~ drugbg(sK3(X0)) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ releaselg(X1)
| ~ gt(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| conditionnormo(X1)
| gt(X0,X1)
| ~ bcapacityne(X0)
| ~ bsecretioni(sK10(X0))
| ~ conditionhyper(sK11(X0)) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| conditionnormo(X1)
| gt(X0,X1)
| gt(X0,sK11(X0))
| ~ bcapacityne(X0)
| ~ bsecretioni(sK10(X0)) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| conditionnormo(X1)
| gt(X0,X1)
| ~ bcapacityne(X0)
| ~ conditionhyper(sK11(X0))
| ~ gt(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| conditionnormo(X1)
| gt(X0,X1)
| gt(X0,sK11(X0))
| ~ bcapacityne(X0)
| ~ gt(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_90,negated_conjecture,
~ conditionnormo(sK15),
inference(cnf_transformation,[],[f114]) ).
tcf(c_91,negated_conjecture,
~ gt(n0,sK15),
inference(cnf_transformation,[],[f113]) ).
tcf(c_92,negated_conjecture,
! [X0: $i] :
( drugbg(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_93,negated_conjecture,
! [X0: $i] :
( drugsu(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( conditionhyper(X0)
| ~ gt(n0,X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_95,negated_conjecture,
bcapacityne(n0),
inference(cnf_transformation,[],[f109]) ).
tcf(c_106,plain,
( ~ bcapacityex(n0)
| ~ bcapacityne(n0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| gt(n0,sK3(X1))
| ~ releaselg(X0) ),
inference(resolution,[status(thm)],[c_64,c_92]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i] :
( bsecretioni(X1)
| bcapacityex(X0)
| gt(X0,X1)
| gt(n0,sK2(X0)) ),
inference(resolution,[status(thm)],[c_62,c_93]) ).
tcf(c_2937,plain,
! [X0: $i] :
( sP0(X0)
| gt(X0,sK15)
| gt(X0,sK11(X0))
| ~ bcapacityne(X0)
| ~ gt(X0,sK10(X0)) ),
inference(resolution,[status(thm)],[c_81,c_90]) ).
tcf(c_2938,plain,
( sP0(n0)
| gt(n0,sK15)
| gt(n0,sK11(n0))
| ~ bcapacityne(n0)
| ~ gt(n0,sK10(n0)) ),
inference(instantiation,[status(thm)],[c_2937]) ).
tcf(c_2954,plain,
! [X0: $i] :
( sP0(X0)
| gt(X0,sK15)
| ~ bcapacityne(X0)
| ~ conditionhyper(sK11(X0))
| ~ gt(X0,sK10(X0)) ),
inference(resolution,[status(thm)],[c_80,c_90]) ).
tcf(c_2955,plain,
( sP0(n0)
| gt(n0,sK15)
| ~ bcapacityne(n0)
| ~ conditionhyper(sK11(n0))
| ~ gt(n0,sK10(n0)) ),
inference(instantiation,[status(thm)],[c_2954]) ).
tcf(c_2971,plain,
! [X0: $i] :
( sP0(X0)
| gt(X0,sK15)
| gt(X0,sK11(X0))
| ~ bcapacityne(X0)
| ~ bsecretioni(sK10(X0)) ),
inference(resolution,[status(thm)],[c_79,c_90]) ).
tcf(c_2972,plain,
( sP0(n0)
| gt(n0,sK15)
| gt(n0,sK11(n0))
| ~ bcapacityne(n0)
| ~ bsecretioni(sK10(n0)) ),
inference(instantiation,[status(thm)],[c_2971]) ).
tcf(c_2988,plain,
! [X0: $i] :
( sP0(X0)
| gt(X0,sK15)
| ~ bcapacityne(X0)
| ~ bsecretioni(sK10(X0))
| ~ conditionhyper(sK11(X0)) ),
inference(resolution,[status(thm)],[c_78,c_90]) ).
tcf(c_2989,plain,
( sP0(n0)
| gt(n0,sK15)
| ~ bcapacityne(n0)
| ~ bsecretioni(sK10(n0))
| ~ conditionhyper(sK11(n0)) ),
inference(instantiation,[status(thm)],[c_2988]) ).
tcf(c_5516,plain,
! [X0: $i] :
( sP0(n0)
| conditionnormo(X0)
| gt(n0,X0)
| gt(n0,sK11(n0))
| ~ gt(n0,sK10(n0)) ),
inference(resolution,[status(thm)],[c_81,c_95]) ).
tcf(c_5525,plain,
! [X0: $i] :
( sP0(n0)
| conditionnormo(X0)
| gt(n0,X0)
| ~ conditionhyper(sK11(n0))
| ~ gt(n0,sK10(n0)) ),
inference(resolution,[status(thm)],[c_80,c_95]) ).
tcf(c_5534,plain,
! [X0: $i] :
( sP0(n0)
| conditionnormo(X0)
| gt(n0,X0)
| gt(n0,sK11(n0))
| ~ bsecretioni(sK10(n0)) ),
inference(resolution,[status(thm)],[c_79,c_95]) ).
tcf(c_5543,plain,
! [X0: $i] :
( sP0(n0)
| conditionnormo(X0)
| gt(n0,X0)
| ~ bsecretioni(sK10(n0))
| ~ conditionhyper(sK11(n0)) ),
inference(resolution,[status(thm)],[c_78,c_95]) ).
tcf(c_8374,plain,
! [X0: $i,X1: $i] :
( bsecretioni(X1)
| bcapacityex(X0)
| gt(X0,X1)
| gt(n0,sK2(X0)) ),
inference(demodulation,[status(thm)],[c_531]) ).
tcf(c_8377,negated_conjecture,
! [X0: $i] :
( conditionhyper(X0)
| ~ gt(n0,X0) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_8392,plain,
! [X0: $i,X1: $i] :
( bcapacityex(X0)
| bsecretioni(sK10(X1))
| gt(X0,sK10(X1))
| ~ gt(X0,sK2(X0)) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_8393,plain,
! [X0: $i,X1: $i] :
( bcapacityex(X0)
| bsecretioni(sK10(X1))
| gt(n0,sK2(X0))
| gt(X0,sK10(X1)) ),
inference(instantiation,[status(thm)],[c_8374]) ).
tcf(c_8394,plain,
( bcapacityex(n0)
| bsecretioni(sK10(n0))
| gt(n0,sK10(n0))
| gt(n0,sK2(n0)) ),
inference(instantiation,[status(thm)],[c_8393]) ).
tcf(c_8395,plain,
( bcapacityex(n0)
| bsecretioni(sK10(n0))
| gt(n0,sK10(n0))
| ~ gt(n0,sK2(n0)) ),
inference(instantiation,[status(thm)],[c_8392]) ).
tcf(c_8399,plain,
( conditionhyper(sK11(n0))
| ~ gt(n0,sK11(n0)) ),
inference(instantiation,[status(thm)],[c_8377]) ).
fof(f48,definition,
! [X0] :
( ~ sP0(X0)
| ( ? [X2] :
( ~ gt(X0,X2)
& ~ uptakepg(X2) )
& ? [X1] :
( ~ gt(X0,X1)
& releaselg(X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f49,plain,
! [X0] :
( ? [X4] :
( gt(X0,X4)
& ~ conditionhyper(X4) )
| ? [X3] :
( ~ gt(X0,X3)
& ~ bsecretioni(X3) )
| ~ bcapacityne(X0)
| sP0(X0)
| ! [X5] :
( gt(X0,X5)
| conditionnormo(X5) ) ),
inference(definition_folding,[],[f43,f48]) ).
fof(f60,plain,
! [X0] :
( ~ sP0(X0)
| ( ? [X2] :
( ~ gt(X0,X2)
& ~ uptakepg(X2) )
& ? [X1] :
( ~ gt(X0,X1)
& releaselg(X1) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f61,plain,
! [X0] :
( ~ sP0(X0)
| ( ~ gt(X0,sK9(X0))
& ~ uptakepg(sK9(X0))
& ~ gt(X0,sK8(X0))
& releaselg(sK8(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[f60]) ).
fof(f95,plain,
! [X0] :
( ~ sP0(X0)
| ~ gt(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f96,plain,
! [X0] :
( ~ sP0(X0)
| releaselg(sK8(X0)) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_74,plain,
! [X0: $i] :
( releaselg(sK8(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_75,plain,
! [X0: $i] :
( ~ sP0(X0)
| ~ gt(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_109,plain,
( ~ sP0(n0)
| ~ gt(n0,sK8(n0)) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_945,plain,
! [X0: $i,X1: $i] :
( gt(n0,sK3(X1))
| gt(X1,sK8(X0))
| ~ sP0(X0) ),
inference(resolution,[status(thm)],[c_517,c_74]) ).
tcf(c_946,plain,
( gt(n0,sK8(n0))
| gt(n0,sK3(n0))
| ~ sP0(n0) ),
inference(instantiation,[status(thm)],[c_945]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i] :
( gt(X0,sK8(X1))
| ~ sP0(X1)
| ~ gt(X0,sK3(X0)) ),
inference(resolution,[status(thm)],[c_65,c_74]) ).
tcf(c_1014,plain,
( gt(n0,sK8(n0))
| ~ sP0(n0)
| ~ gt(n0,sK3(n0)) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_5517,plain,
( ~ gt(n0,sK10(n0))
| gt(n0,sK11(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_5516,c_95,c_91,c_109,c_946,c_1014,c_2938]) ).
tcf(c_5518,plain,
( gt(n0,sK11(n0))
| ~ gt(n0,sK10(n0)) ),
inference(renaming,[status(thm)],[c_5517]) ).
tcf(c_5526,plain,
( ~ gt(n0,sK10(n0))
| ~ conditionhyper(sK11(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_5525,c_95,c_91,c_109,c_946,c_1014,c_2955]) ).
tcf(c_5527,plain,
( ~ conditionhyper(sK11(n0))
| ~ gt(n0,sK10(n0)) ),
inference(renaming,[status(thm)],[c_5526]) ).
tcf(c_5535,plain,
( ~ bsecretioni(sK10(n0))
| gt(n0,sK11(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_5534,c_95,c_91,c_109,c_946,c_1014,c_2972]) ).
tcf(c_5536,plain,
( gt(n0,sK11(n0))
| ~ bsecretioni(sK10(n0)) ),
inference(renaming,[status(thm)],[c_5535]) ).
tcf(c_5544,plain,
( ~ conditionhyper(sK11(n0))
| ~ bsecretioni(sK10(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_5543,c_95,c_91,c_109,c_946,c_1014,c_2989]) ).
tcf(c_5545,plain,
( ~ bsecretioni(sK10(n0))
| ~ conditionhyper(sK11(n0)) ),
inference(renaming,[status(thm)],[c_5544]) ).
tcf(c_8402,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8399,c_8395,c_8394,c_5545,c_5536,c_5527,c_5518,c_106,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MED002+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 00:53:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 3.20/1.18 % SZS status Started for theBenchmark.p
% 3.20/1.18 % SZS status Theorem for theBenchmark.p
% 3.20/1.18
% 3.20/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.20/1.18
% 3.20/1.18 % ------ iProver source info
% 3.20/1.18
% 3.20/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.20/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.20/1.18 % git: non_committed_changes: false
% 3.20/1.18
% 3.20/1.18 % ------ Parsing...
% 3.20/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.20/1.18
% 3.20/1.18 % ------ 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 %
% 3.20/1.18
% 3.20/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.20/1.18 % ------ Proving...
% 3.20/1.18 % ------ Problem Properties
% 3.20/1.18
% 3.20/1.18 %
% 3.20/1.18 % clauses 42
% 3.20/1.18 % conjectures 4
% 3.20/1.18 % EPR 12
% 3.20/1.18 % Horn 20
% 3.20/1.18 % unary 4
% 3.20/1.18 % binary 9
% 3.20/1.18 % lits 171
% 3.20/1.18 % lits eq 0
% 3.20/1.18 % fd_pure 0
% 3.20/1.18 % fd_pseudo 0
% 3.20/1.18 % fd_cond 0
% 3.20/1.18 % fd_pseudo_cond 0
% 3.20/1.18 % AC symbols 0
% 3.20/1.18
% 3.20/1.18 % ------ Schedule dynamic 5 is on
% 3.20/1.18
% 3.20/1.18 % ------ no equalities: superposition off
% 3.20/1.18
% 3.20/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.20/1.18
% 3.20/1.18
% 3.20/1.18 % ------
% 3.20/1.18 % Current options:
% 3.20/1.18 % ------
% 3.20/1.18
% 3.20/1.18
% 3.20/1.18 %
% 3.20/1.18
% 3.20/1.18 % ------ Proving...
% 3.20/1.18 %
% 3.20/1.18
% 3.20/1.18 % SZS status Theorem for theBenchmark.p
% 3.20/1.18
% 3.20/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.20/1.18
% 3.20/1.18
%------------------------------------------------------------------------------