%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MED007+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 : n008.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 4.62s 6.32s
% Output : CNFRefutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 137 ( 11 unt; 3 def)
% Number of atoms : 740 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 896 ( 293 ~; 380 |; 166 &)
% ( 0 <=>; 57 =>; 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 : 20 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 282 ( 0 sgn 261 !; 21 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',irreflexivity_gt) ).
fof(f23,axiom,
! [X0] :
( ~ s2(X0)
| ~ s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',xorstep5) ).
fof(f24,axiom,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MED001+1.ax',normo) ).
fof(f31,axiom,
! [X0] :
( drugbg(X0)
=> ( s3(X0)
| s2(X0)
| ( ~ qilt27(X0)
& s1(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',bgcomp) ).
fof(f33,axiom,
! [X0] :
( drugi(X0)
=> s3(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MED001+1.ax',insulin_completion) ).
fof(f37,axiom,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> ~ releaselg(X1) )
=> ! [X1] :
( ~ gt(X0,X1)
=> drugbg(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',bg_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',transs1s2_qilt27) ).
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(f50,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(f51,plain,
! [X0] :
( ( ! [X2] :
( ~ gt(X0,X2)
=> uptakepg(X2) )
| ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) ) )
=> ! [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(f55,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(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(rectify,[],[f42]) ).
fof(f75,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,[],[f50]) ).
fof(f76,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,[],[f75]) ).
fof(f84,plain,
! [X0] :
( ~ drugbg(X0)
| s3(X0)
| s2(X0)
| ( ~ qilt27(X0)
& s1(X0) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f85,plain,
! [X0] :
( ~ drugbg(X0)
| s3(X0)
| s2(X0)
| ( ~ qilt27(X0)
& s1(X0) ) ),
inference(flattening,[],[f84]) ).
fof(f88,plain,
! [X0] :
( ~ drugi(X0)
| s3(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f89,plain,
! [X0] :
( ( ? [X2] :
( ~ gt(X0,X2)
& ~ uptakepg(X2) )
& ? [X1] :
( ~ gt(X0,X1)
& ~ uptakelg(X1) ) )
| ! [X3] :
( gt(X0,X3)
| drugi(X3) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& releaselg(X1) )
| ! [X2] :
( gt(X0,X2)
| drugbg(X2) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f96,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,[],[f55]) ).
fof(f97,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,[],[f96]) ).
fof(f100,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,[],[f57]) ).
fof(f101,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,[],[f100]) ).
fof(f124,plain,
! [X0] :
( ~ sP3(X0)
| ( ! [X5] :
( ~ gt(X0,X5)
| conditionhyper(X5) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X4] :
( gt(X0,X4)
| ~ releaselg(X4) ) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f125,plain,
! [X0] :
( ~ sP3(X0)
| ( ! [X2] :
( ~ gt(X0,X2)
| conditionhyper(X2) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( gt(X0,X1)
| ~ releaselg(X1) ) ) ),
inference(rectify,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ~ sP2(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,[],[f105]) ).
fof(f127,plain,
! [X0] :
( ~ sP2(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,[],[f126]) ).
fof(f130,plain,
! [X0] :
( ? [X3] :
( ~ gt(X0,X3)
& ~ conditionnormo(X3) )
| sP1(X0)
| sP2(X0)
| sP3(X0)
| ( ! [X2] :
( ~ gt(X0,X2)
| conditionhyper(X2) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( gt(X0,X1)
| bsecretioni(X1) ) ) ),
inference(rectify,[],[f107]) ).
fof(f131,plain,
! [X0] :
( ( ~ gt(X0,sK18(X0))
& ~ conditionnormo(sK18(X0)) )
| sP1(X0)
| sP2(X0)
| sP3(X0)
| ( ! [X2] :
( ~ gt(X0,X2)
| conditionhyper(X2) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( gt(X0,X1)
| bsecretioni(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X3,sK18(X0))],[f130]) ).
fof(f132,plain,
! [X0] :
( ( ? [X3] :
( ~ gt(X0,X3)
& ~ uptakepg(X3) )
& ? [X2] :
( ~ gt(X0,X2)
& ~ uptakelg(X2) ) )
| ! [X1] :
( gt(X0,X1)
| drugi(X1) ) ),
inference(rectify,[],[f89]) ).
fof(f133,plain,
! [X0] :
( ( ~ gt(X0,sK20(X0))
& ~ uptakepg(sK20(X0))
& ~ gt(X0,sK19(X0))
& ~ uptakelg(sK19(X0)) )
| ! [X1] :
( gt(X0,X1)
| drugi(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X2,sK19(X0)),skolemize(X3,sK20(X0))],[f132]) ).
fof(f136,plain,
! [X0] :
( ? [X2] :
( ~ gt(X0,X2)
& releaselg(X2) )
| ! [X1] :
( gt(X0,X1)
| drugbg(X1) ) ),
inference(rectify,[],[f93]) ).
fof(f137,plain,
! [X0] :
( ( ~ gt(X0,sK22(X0))
& releaselg(sK22(X0)) )
| ! [X1] :
( gt(X0,X1)
| drugbg(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X2,sK22(X0))],[f136]) ).
fof(f140,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,[],[f97]) ).
fof(f141,plain,
! [X0] :
( ! [X3] :
( gt(X0,X3)
| conditionnormo(X3) )
| ~ s1(X0)
| ( ( bcapacityex(sK24(X0))
| bcapacityne(sK24(X0)) )
& ! [X2] :
( ~ gt(sK24(X0),X2)
| conditionhyper(X2) )
& s2(sK24(X0))
& ~ gt(X0,sK24(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X1,sK24(X0))],[f140]) ).
fof(f144,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,[],[f101]) ).
fof(f145,plain,
( qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) )
& s1(n0)
& ! [X0] :
( ( ~ bcapacityex(X0)
& ~ bcapacityne(X0) )
| ( gt(X0,sK26(X0))
& ~ conditionhyper(sK26(X0)) )
| ~ s2(X0)
| gt(n0,X0) ) ),
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(f193,plain,
! [X0] :
( ~ s2(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f194,plain,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f198,plain,
! [X0] :
( ~ sP3(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| gt(X0,X2)
| uptakepg(X2)
| gt(X0,X1)
| ~ releaselg(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f212,plain,
! [X0] :
( ~ gt(X0,sK18(X0))
| sP1(X0)
| sP2(X0)
| sP3(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f213,plain,
! [X0] :
( ~ conditionnormo(sK18(X0))
| sP1(X0)
| sP2(X0)
| sP3(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f222,plain,
! [X0] :
( ~ drugbg(X0)
| s3(X0)
| s2(X0)
| ~ qilt27(X0) ),
inference(cnf_transformation,[],[f85]) ).
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(f228,plain,
! [X0,X1] :
( ~ gt(X0,sK19(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f229,plain,
! [X0,X1] :
( ~ uptakelg(sK19(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f235,plain,
! [X0,X1] :
( ~ gt(X0,sK22(X0))
| gt(X0,X1)
| drugbg(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f236,plain,
! [X0,X1] :
( releaselg(sK22(X0))
| gt(X0,X1)
| drugbg(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f240,plain,
! [X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| bcapacityex(sK24(X0))
| bcapacityne(sK24(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f241,plain,
! [X2,X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| ~ gt(sK24(X0),X2)
| conditionhyper(X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f242,plain,
! [X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| s2(sK24(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f243,plain,
! [X3,X0] :
( gt(X0,X3)
| conditionnormo(X3)
| ~ s1(X0)
| ~ gt(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f248,plain,
qilt27(n0),
inference(cnf_transformation,[],[f145]) ).
fof(f249,plain,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f145]) ).
fof(f251,plain,
s1(n0),
inference(cnf_transformation,[],[f145]) ).
fof(f252,plain,
! [X0] :
( ~ bcapacityex(X0)
| gt(X0,sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f253,plain,
! [X0] :
( ~ bcapacityne(X0)
| gt(X0,sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f254,plain,
! [X0] :
( ~ bcapacityex(X0)
| ~ conditionhyper(sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f255,plain,
! [X0] :
( ~ bcapacityne(X0)
| ~ conditionhyper(sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_49,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f146]) ).
tcf(c_96,plain,
! [X0: $i] :
( ~ s2(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_97,plain,
! [X0: $i] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_100,plain,
! [X0: $i] :
( bcapacitysn(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( uptakepg(X2)
| gt(X1,X2)
| gt(X1,X0)
| ~ sP2(X1)
| ~ releaselg(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_113,plain,
! [X0: $i] :
( sP1(X0)
| sP2(X0)
| sP3(X0)
| bcapacitysn(X0)
| ~ conditionnormo(sK18(X0)) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_114,plain,
! [X0: $i] :
( sP1(X0)
| sP2(X0)
| sP3(X0)
| bcapacitysn(X0)
| ~ gt(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_126,plain,
! [X0: $i] :
( s3(X0)
| s2(X0)
| ~ qilt27(X0)
| ~ drugbg(X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_128,plain,
! [X0: $i] :
( s3(X0)
| ~ drugi(X0) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ uptakelg(sK19(X0)) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ gt(X0,sK19(X0)) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ uptakepg(sK20(X0)) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( drugi(X1)
| gt(X0,X1)
| ~ gt(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( drugbg(X1)
| releaselg(sK22(X0))
| gt(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] :
( drugbg(X1)
| gt(X0,X1)
| ~ gt(X0,sK22(X0)) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| gt(X0,X1)
| ~ s1(X0)
| ~ gt(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| s2(sK24(X0))
| gt(X0,X1)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] :
( conditionnormo(X2)
| conditionhyper(X1)
| gt(X0,X2)
| ~ s1(X0)
| ~ gt(sK24(X0),X1) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| bcapacityex(sK24(X0))
| bcapacityne(sK24(X0))
| gt(X0,X1)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_151,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| ~ s2(X0)
| ~ bcapacityne(X0)
| ~ conditionhyper(sK26(X0)) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_152,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| ~ s2(X0)
| ~ bcapacityex(X0)
| ~ conditionhyper(sK26(X0)) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_153,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| gt(X0,sK26(X0))
| ~ s2(X0)
| ~ bcapacityne(X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_154,negated_conjecture,
! [X0: $i] :
( gt(n0,X0)
| gt(X0,sK26(X0))
| ~ s2(X0)
| ~ bcapacityex(X0) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_155,negated_conjecture,
s1(n0),
inference(cnf_transformation,[],[f251]) ).
tcf(c_157,negated_conjecture,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f249]) ).
tcf(c_158,negated_conjecture,
qilt27(n0),
inference(cnf_transformation,[],[f248]) ).
tcf(c_159,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_160,plain,
( s3(n0)
| ~ drugi(n0) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_166,plain,
( bcapacitysn(n0)
| ~ sP3(n0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_169,plain,
( ~ s3(n0)
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_170,plain,
( ~ s2(n0)
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_184,plain,
( drugbg(n0)
| releaselg(sK22(n0))
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_193,plain,
( drugi(n0)
| gt(n0,n0)
| ~ uptakepg(sK20(n0)) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_199,plain,
( drugbg(n0)
| gt(n0,n0)
| ~ gt(n0,sK22(n0)) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_201,plain,
( drugi(n0)
| gt(n0,n0)
| ~ gt(n0,sK20(n0)) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_202,plain,
( drugi(n0)
| gt(n0,n0)
| ~ gt(n0,sK19(n0)) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_203,plain,
( s3(n0)
| s2(n0)
| ~ qilt27(n0)
| ~ drugbg(n0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_213,plain,
( sP1(n0)
| sP2(n0)
| sP3(n0)
| bcapacitysn(n0)
| ~ conditionnormo(sK18(n0)) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_222,plain,
( sP1(n0)
| sP2(n0)
| sP3(n0)
| bcapacitysn(n0)
| ~ gt(n0,sK18(n0)) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_6028,plain,
! [X0: $i,X1: $i,X2: $i] :
( conditionhyper(X1)
| conditionnormo(sK18(X2))
| gt(X0,sK18(X2))
| ~ s1(X0)
| ~ gt(sK24(X0),X1) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_6036,plain,
! [X0: $i,X1: $i] :
( conditionnormo(sK18(X1))
| bcapacityex(sK24(X0))
| bcapacityne(sK24(X0))
| gt(X0,sK18(X1))
| ~ s1(X0) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_6037,plain,
! [X0: $i,X1: $i] :
( s2(sK24(X0))
| conditionnormo(sK18(X1))
| gt(X0,sK18(X1))
| ~ s1(X0) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_6038,plain,
! [X0: $i,X1: $i] :
( conditionnormo(sK18(X1))
| gt(X0,sK18(X1))
| ~ s1(X0)
| ~ gt(X0,sK24(X0)) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_6059,plain,
( conditionnormo(sK18(n0))
| gt(n0,sK18(n0))
| ~ s1(n0)
| ~ gt(n0,sK24(n0)) ),
inference(instantiation,[status(thm)],[c_6038]) ).
tcf(c_6060,plain,
( s2(sK24(n0))
| conditionnormo(sK18(n0))
| gt(n0,sK18(n0))
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_6037]) ).
tcf(c_6061,plain,
( conditionnormo(sK18(n0))
| bcapacityex(sK24(n0))
| bcapacityne(sK24(n0))
| gt(n0,sK18(n0))
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_6036]) ).
tcf(c_6100,plain,
! [X0: $i] :
( gt(n0,sK24(X0))
| gt(sK24(X0),sK26(sK24(X0)))
| ~ s2(sK24(X0))
| ~ bcapacityex(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_6101,plain,
! [X0: $i] :
( gt(n0,sK24(X0))
| gt(sK24(X0),sK26(sK24(X0)))
| ~ s2(sK24(X0))
| ~ bcapacityne(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_6102,plain,
! [X0: $i] :
( gt(n0,sK24(X0))
| ~ s2(sK24(X0))
| ~ bcapacityex(sK24(X0))
| ~ conditionhyper(sK26(sK24(X0))) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_6103,plain,
! [X0: $i] :
( gt(n0,sK24(X0))
| ~ s2(sK24(X0))
| ~ bcapacityne(sK24(X0))
| ~ conditionhyper(sK26(sK24(X0))) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_6104,plain,
( gt(n0,sK24(n0))
| ~ s2(sK24(n0))
| ~ bcapacityne(sK24(n0))
| ~ conditionhyper(sK26(sK24(n0))) ),
inference(instantiation,[status(thm)],[c_6103]) ).
tcf(c_6105,plain,
( gt(n0,sK24(n0))
| ~ s2(sK24(n0))
| ~ bcapacityex(sK24(n0))
| ~ conditionhyper(sK26(sK24(n0))) ),
inference(instantiation,[status(thm)],[c_6102]) ).
tcf(c_6106,plain,
( gt(n0,sK24(n0))
| gt(sK24(n0),sK26(sK24(n0)))
| ~ s2(sK24(n0))
| ~ bcapacityne(sK24(n0)) ),
inference(instantiation,[status(thm)],[c_6101]) ).
tcf(c_6107,plain,
( gt(n0,sK24(n0))
| gt(sK24(n0),sK26(sK24(n0)))
| ~ s2(sK24(n0))
| ~ bcapacityex(sK24(n0)) ),
inference(instantiation,[status(thm)],[c_6100]) ).
tcf(c_6144,plain,
! [X0: $i,X1: $i,X2: $i] :
( uptakepg(X2)
| gt(X1,X2)
| gt(X1,sK22(X0))
| ~ sP2(X1)
| ~ releaselg(sK22(X0)) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_6208,plain,
! [X0: $i,X1: $i,X2: $i] :
( uptakepg(sK20(X2))
| gt(X1,sK22(X0))
| gt(X1,sK20(X2))
| ~ sP2(X1)
| ~ releaselg(sK22(X0)) ),
inference(instantiation,[status(thm)],[c_6144]) ).
tcf(c_6209,plain,
( uptakepg(sK20(n0))
| gt(n0,sK22(n0))
| gt(n0,sK20(n0))
| ~ sP2(n0)
| ~ releaselg(sK22(n0)) ),
inference(instantiation,[status(thm)],[c_6208]) ).
tcf(c_6301,plain,
! [X0: $i,X1: $i] :
( conditionnormo(sK18(X1))
| conditionhyper(sK26(sK24(X0)))
| gt(X0,sK18(X1))
| ~ s1(X0)
| ~ gt(sK24(X0),sK26(sK24(X0))) ),
inference(instantiation,[status(thm)],[c_6028]) ).
tcf(c_6302,plain,
( conditionnormo(sK18(n0))
| conditionhyper(sK26(sK24(n0)))
| gt(n0,sK18(n0))
| ~ s1(n0)
| ~ gt(sK24(n0),sK26(sK24(n0))) ),
inference(instantiation,[status(thm)],[c_6301]) ).
fof(f104,definition,
! [X0] :
( ~ sP1(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,[sP1])],[predicate_definition_introduction]) ).
fof(f105,definition,
! [X0] :
( ~ sP2(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,[sP2])],[predicate_definition_introduction]) ).
fof(f106,definition,
! [X0] :
( ~ sP3(X0)
| ( ! [X5] :
( ~ gt(X0,X5)
| conditionhyper(X5) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X4] :
( gt(X0,X4)
| ~ releaselg(X4) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f107,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& ~ conditionnormo(X1) )
| sP1(X0)
| sP2(X0)
| sP3(X0)
| ( ! [X3] :
( ~ gt(X0,X3)
| conditionhyper(X3) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( gt(X0,X2)
| bsecretioni(X2) ) ) ),
inference(definition_folding,[],[f76,f106,f105,f104]) ).
fof(f128,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X12] :
( ~ gt(X0,X12)
| conditionhyper(X12) )
& bcapacityex(X0)
& ! [X11] :
( gt(X0,X11)
| uptakepg(X11) )
& ! [X10] :
( gt(X0,X10)
| uptakelg(X10) ) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f129,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X3] :
( ~ gt(X0,X3)
| conditionhyper(X3) )
& bcapacityex(X0)
& ! [X2] :
( gt(X0,X2)
| uptakepg(X2) )
& ! [X1] :
( gt(X0,X1)
| uptakelg(X1) ) ) ),
inference(rectify,[],[f128]) ).
fof(f207,plain,
! [X0,X1] :
( ~ sP1(X0)
| gt(X0,X1)
| uptakelg(X1) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( uptakelg(X1)
| gt(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_5185,plain,
! [X0: $i,X1: $i,X2: $i] :
( drugi(X2)
| gt(X1,X2)
| gt(X0,sK19(X1))
| ~ sP1(X0) ),
inference(resolution,[status(thm)],[c_107,c_129]) ).
tcf(c_5186,plain,
( drugi(n0)
| gt(n0,n0)
| gt(n0,sK19(n0))
| ~ sP1(n0) ),
inference(instantiation,[status(thm)],[c_5185]) ).
tcf(c_6303,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6302,c_6209,c_6107,c_6106,c_6105,c_6104,c_6061,c_6060,c_6059,c_5186,c_222,c_213,c_203,c_202,c_201,c_199,c_193,c_184,c_170,c_169,c_166,c_160,c_159,c_157,c_155,c_158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MED007+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n008.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Thu Sep 24 00:55:29 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.46 % Proving...
% 4.62/6.32 % SZS status Started for theBenchmark.p
% 4.62/6.32 % SZS status Theorem for theBenchmark.p
% 4.62/6.32
% 4.62/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.62/6.32
% 4.62/6.32 % ------ iProver source info
% 4.62/6.32
% 4.62/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.62/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.62/6.32 % git: non_committed_changes: false
% 4.62/6.32
% 4.62/6.32 % ------ Parsing...
% 4.62/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.62/6.32
% 4.62/6.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e %
% 4.62/6.32
% 4.62/6.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.62/6.32 % ------ Proving...
% 4.62/6.32 % ------ Problem Properties
% 4.62/6.32
% 4.62/6.32 %
% 4.62/6.32 % clauses 106
% 4.62/6.32 % conjectures 8
% 4.62/6.32 % EPR 41
% 4.62/6.32 % Horn 46
% 4.62/6.32 % unary 4
% 4.62/6.32 % binary 25
% 4.62/6.32 % lits 382
% 4.62/6.32 % lits eq 0
% 4.62/6.32 % fd_pure 0
% 4.62/6.32 % fd_pseudo 0
% 4.62/6.32 % fd_cond 0
% 4.62/6.32 % fd_pseudo_cond 0
% 4.62/6.32 % AC symbols 0
% 4.62/6.32
% 4.62/6.32 % ------ Input Options Time Limit: Unbounded
% 4.62/6.32
% 4.62/6.32
% 4.62/6.32 % ------
% 4.62/6.32 % Current options:
% 4.62/6.32 % ------
% 4.62/6.32
% 4.62/6.32
% 4.62/6.32 %
% 4.62/6.32
% 4.62/6.32 % ------ Proving...
% 4.62/6.32 %
% 4.62/6.32
% 4.62/6.32 % SZS status Theorem for theBenchmark.p
% 4.62/6.32
% 4.62/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.62/6.33
% 4.62/6.33
%------------------------------------------------------------------------------