TSTP Solution File: MED009+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:43:13 EDT 2024
% Result : Theorem 3.63s 1.16s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 143 ( 9 unt; 0 def)
% Number of atoms : 766 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 930 ( 307 ~; 389 |; 174 &)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 293 ( 2 sgn 203 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f3,axiom,
! [X3] :
( bcapacitysn(X3)
| bcapacityex(X3)
| bcapacityne(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity1) ).
fof(f6,axiom,
! [X3] :
( ~ bcapacitysn(X3)
| ~ bcapacityex(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity4) ).
fof(f24,axiom,
! [X3] :
( ~ s3(X3)
| ~ s1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorstep6) ).
fof(f26,axiom,
! [X3] :
( ! [X4] :
( ~ gt(X3,X4)
=> conditionnormo(X4) )
=> ( ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& bcapacityex(X3)
& ! [X4] :
( ~ gt(X3,X4)
=> uptakepg(X4) )
& ! [X4] :
( ~ gt(X3,X4)
=> uptakelg(X4) ) )
| ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(X3,X4)
=> bsecretioni(X4) )
& bcapacityne(X3)
& ( ! [X4] :
( ~ gt(X3,X4)
=> uptakepg(X4) )
| ! [X4] :
( ~ gt(X3,X4)
=> ~ releaselg(X4) ) ) )
| ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& ~ qilt27(X3)
& bcapacitysn(X3)
& ! [X4] :
( ~ gt(X3,X4)
=> ~ releaselg(X4) ) )
| ( ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& qilt27(X3)
& bcapacitysn(X3)
& ! [X4] :
( ~ gt(X3,X4)
=> bsecretioni(X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normo) ).
fof(f33,axiom,
! [X3] :
( drugi(X3)
=> s3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulincomp) ).
fof(f34,axiom,
! [X3] :
( ( ! [X4] :
( ~ gt(X3,X4)
=> uptakepg(X4) )
| ! [X4] :
( ~ gt(X3,X4)
=> uptakelg(X4) ) )
=> ! [X4] :
( ~ gt(X3,X4)
=> drugi(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',insulin_completion) ).
fof(f35,axiom,
! [X3,X4] :
( ~ gt(X3,X4)
=> ( ~ releaselg(X4)
=> uptakelg(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uptake_completion) ).
fof(f39,axiom,
! [X3] :
( ( ~ ! [X4] :
( ~ gt(X3,X4)
=> conditionnormo(X4) )
& s1(X3) )
=> ? [X4] :
( ( bcapacityex(X4)
| bcapacityne(X4) )
& ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& s2(X4)
& ~ gt(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_ax2) ).
fof(f41,conjecture,
( ( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X3] :
( gt(n0,X3)
=> conditionhyper(X3) )
& s1(n0) )
=> ? [X3] :
( ( bcapacityex(X3)
| bcapacityne(X3) )
& ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& s2(X3)
& ~ gt(n0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transs1s2_qige27) ).
fof(f42,negated_conjecture,
~ ( ( ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X3] :
( gt(n0,X3)
=> conditionhyper(X3) )
& s1(n0) )
=> ? [X3] :
( ( bcapacityex(X3)
| bcapacityne(X3) )
& ! [X4] :
( gt(X3,X4)
=> conditionhyper(X4) )
& s2(X3)
& ~ gt(n0,X3) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f43,plain,
! [X0] :
( bcapacitysn(X0)
| bcapacityex(X0)
| bcapacityne(X0) ),
inference(rectify,[],[f3]) ).
fof(f46,plain,
! [X0] :
( ~ bcapacitysn(X0)
| ~ bcapacityex(X0) ),
inference(rectify,[],[f6]) ).
fof(f64,plain,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(rectify,[],[f24]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) )
=> ( ( ! [X2] :
( gt(X0,X2)
=> conditionhyper(X2) )
& bcapacityex(X0)
& ! [X3] :
( ~ gt(X0,X3)
=> uptakepg(X3) )
& ! [X4] :
( ~ gt(X0,X4)
=> uptakelg(X4) ) )
| ( ! [X5] :
( gt(X0,X5)
=> conditionhyper(X5) )
& ! [X6] :
( ~ gt(X0,X6)
=> bsecretioni(X6) )
& bcapacityne(X0)
& ( ! [X7] :
( ~ gt(X0,X7)
=> uptakepg(X7) )
| ! [X8] :
( ~ gt(X0,X8)
=> ~ releaselg(X8) ) ) )
| ( ! [X9] :
( gt(X0,X9)
=> conditionhyper(X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ gt(X0,X10)
=> ~ releaselg(X10) ) )
| ( ! [X11] :
( gt(X0,X11)
=> conditionhyper(X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( ~ gt(X0,X12)
=> bsecretioni(X12) ) ) ) ),
inference(rectify,[],[f26]) ).
fof(f73,plain,
! [X0] :
( drugi(X0)
=> s3(X0) ),
inference(rectify,[],[f33]) ).
fof(f74,plain,
! [X0] :
( ( ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) )
| ! [X2] :
( ~ gt(X0,X2)
=> uptakelg(X2) ) )
=> ! [X3] :
( ~ gt(X0,X3)
=> drugi(X3) ) ),
inference(rectify,[],[f34]) ).
fof(f75,plain,
! [X0,X1] :
( ~ gt(X0,X1)
=> ( ~ releaselg(X1)
=> uptakelg(X1) ) ),
inference(rectify,[],[f35]) ).
fof(f79,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(f81,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(f99,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
& ! [X4] :
( uptakelg(X4)
| gt(X0,X4) ) )
| ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f100,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
& ! [X4] :
( uptakelg(X4)
| gt(X0,X4) ) )
| ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(flattening,[],[f99]) ).
fof(f112,plain,
! [X0] :
( s3(X0)
| ~ drugi(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f113,plain,
! [X0] :
( ! [X3] :
( drugi(X3)
| gt(X0,X3) )
| ( ? [X1] :
( ~ uptakepg(X1)
& ~ gt(X0,X1) )
& ? [X2] :
( ~ uptakelg(X2)
& ~ gt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f114,plain,
! [X0,X1] :
( uptakelg(X1)
| releaselg(X1)
| gt(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f115,plain,
! [X0,X1] :
( uptakelg(X1)
| releaselg(X1)
| gt(X0,X1) ),
inference(flattening,[],[f114]) ).
fof(f120,plain,
! [X0] :
( ? [X2] :
( ( bcapacityex(X2)
| bcapacityne(X2) )
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& s2(X2)
& ~ gt(X0,X2) )
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ~ s1(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f121,plain,
! [X0] :
( ? [X2] :
( ( bcapacityex(X2)
| bcapacityne(X2) )
& ! [X3] :
( conditionhyper(X3)
| ~ gt(X2,X3) )
& s2(X2)
& ~ gt(X0,X2) )
| ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ~ s1(X0) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
( ! [X1] :
( ( ~ bcapacityex(X1)
& ~ bcapacityne(X1) )
| ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ s2(X1)
| gt(n0,X1) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& s1(n0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f125,plain,
( ! [X1] :
( ( ~ bcapacityex(X1)
& ~ bcapacityne(X1) )
| ? [X2] :
( ~ conditionhyper(X2)
& gt(X1,X2) )
| ~ s2(X1)
| gt(n0,X1) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& s1(n0) ),
inference(flattening,[],[f124]) ).
fof(f128,plain,
! [X0] :
( ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f129,plain,
! [X0] :
( ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f130,plain,
! [X0] :
( ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f131,plain,
! [X0] :
( ( ! [X2] :
( conditionhyper(X2)
| ~ gt(X0,X2) )
& bcapacityex(X0)
& ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
& ! [X4] :
( uptakelg(X4)
| gt(X0,X4) ) )
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ? [X1] :
( ~ conditionnormo(X1)
& ~ gt(X0,X1) ) ),
inference(definition_folding,[],[f100,f130,f129,f128]) ).
fof(f163,plain,
! [X0] :
( ( ! [X5] :
( conditionhyper(X5)
| ~ gt(X0,X5) )
& ! [X6] :
( bsecretioni(X6)
| gt(X0,X6) )
& bcapacityne(X0)
& ( ! [X7] :
( uptakepg(X7)
| gt(X0,X7) )
| ! [X8] :
( ~ releaselg(X8)
| gt(X0,X8) ) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f164,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& ! [X2] :
( bsecretioni(X2)
| gt(X0,X2) )
& bcapacityne(X0)
& ( ! [X3] :
( uptakepg(X3)
| gt(X0,X3) )
| ! [X4] :
( ~ releaselg(X4)
| gt(X0,X4) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ( ! [X9] :
( conditionhyper(X9)
| ~ gt(X0,X9) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X10] :
( ~ releaselg(X10)
| gt(X0,X10) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f166,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& ~ qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( ~ releaselg(X2)
| gt(X0,X2) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f165]) ).
fof(f167,plain,
! [X0] :
( ( ! [X11] :
( conditionhyper(X11)
| ~ gt(X0,X11) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X12] :
( bsecretioni(X12)
| gt(X0,X12) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f168,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X2] :
( bsecretioni(X2)
| gt(X0,X2) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f167]) ).
fof(f169,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& bcapacityex(X0)
& ! [X2] :
( uptakepg(X2)
| gt(X0,X2) )
& ! [X3] :
( uptakelg(X3)
| gt(X0,X3) ) )
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ? [X4] :
( ~ conditionnormo(X4)
& ~ gt(X0,X4) ) ),
inference(rectify,[],[f131]) ).
fof(f170,plain,
! [X0] :
( ? [X4] :
( ~ conditionnormo(X4)
& ~ gt(X0,X4) )
=> ( ~ conditionnormo(sK18(X0))
& ~ gt(X0,sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
! [X0] :
( ( ! [X1] :
( conditionhyper(X1)
| ~ gt(X0,X1) )
& bcapacityex(X0)
& ! [X2] :
( uptakepg(X2)
| gt(X0,X2) )
& ! [X3] :
( uptakelg(X3)
| gt(X0,X3) ) )
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ( ~ conditionnormo(sK18(X0))
& ~ gt(X0,sK18(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f169,f170]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( drugi(X1)
| gt(X0,X1) )
| ( ? [X2] :
( ~ uptakepg(X2)
& ~ gt(X0,X2) )
& ? [X3] :
( ~ uptakelg(X3)
& ~ gt(X0,X3) ) ) ),
inference(rectify,[],[f113]) ).
fof(f173,plain,
! [X0] :
( ? [X2] :
( ~ uptakepg(X2)
& ~ gt(X0,X2) )
=> ( ~ uptakepg(sK19(X0))
& ~ gt(X0,sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ? [X3] :
( ~ uptakelg(X3)
& ~ gt(X0,X3) )
=> ( ~ uptakelg(sK20(X0))
& ~ gt(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( drugi(X1)
| gt(X0,X1) )
| ( ~ uptakepg(sK19(X0))
& ~ gt(X0,sK19(X0))
& ~ uptakelg(sK20(X0))
& ~ gt(X0,sK20(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f172,f174,f173]) ).
fof(f185,plain,
! [X0] :
( ? [X1] :
( ( bcapacityex(X1)
| bcapacityne(X1) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X1,X2) )
& s2(X1)
& ~ gt(X0,X1) )
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) )
| ~ s1(X0) ),
inference(rectify,[],[f121]) ).
fof(f186,plain,
! [X0] :
( ? [X1] :
( ( bcapacityex(X1)
| bcapacityne(X1) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(X1,X2) )
& s2(X1)
& ~ gt(X0,X1) )
=> ( ( bcapacityex(sK24(X0))
| bcapacityne(sK24(X0)) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(sK24(X0),X2) )
& s2(sK24(X0))
& ~ gt(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0] :
( ( ( bcapacityex(sK24(X0))
| bcapacityne(sK24(X0)) )
& ! [X2] :
( conditionhyper(X2)
| ~ gt(sK24(X0),X2) )
& s2(sK24(X0))
& ~ gt(X0,sK24(X0)) )
| ! [X3] :
( conditionnormo(X3)
| gt(X0,X3) )
| ~ s1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f185,f186]) ).
fof(f191,plain,
( ! [X0] :
( ( ~ bcapacityex(X0)
& ~ bcapacityne(X0) )
| ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
| ~ s2(X0)
| gt(n0,X0) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& s1(n0) ),
inference(rectify,[],[f125]) ).
fof(f192,plain,
! [X0] :
( ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
=> ( ~ conditionhyper(sK26(X0))
& gt(X0,sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
( ! [X0] :
( ( ~ bcapacityex(X0)
& ~ bcapacityne(X0) )
| ( ~ conditionhyper(sK26(X0))
& gt(X0,sK26(X0)) )
| ~ s2(X0)
| gt(n0,X0) )
& ~ qilt27(n0)
& ~ bcapacitysn(n0)
& ! [X2] :
( conditionhyper(X2)
| ~ gt(n0,X2) )
& s1(n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f191,f192]) ).
fof(f194,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f196,plain,
! [X0] :
( bcapacitysn(X0)
| bcapacityex(X0)
| bcapacityne(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f199,plain,
! [X0] :
( ~ bcapacitysn(X0)
| ~ bcapacityex(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f242,plain,
! [X0] :
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f244,plain,
! [X3,X0,X4] :
( uptakepg(X3)
| gt(X0,X3)
| ~ releaselg(X4)
| gt(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f249,plain,
! [X0] :
( bcapacitysn(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f253,plain,
! [X0] :
( bcapacitysn(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f256,plain,
! [X3,X0] :
( uptakelg(X3)
| gt(X0,X3)
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ~ gt(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f257,plain,
! [X3,X0] :
( uptakelg(X3)
| gt(X0,X3)
| sP3(X0)
| sP2(X0)
| sP1(X0)
| ~ conditionnormo(sK18(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f273,plain,
! [X0] :
( s3(X0)
| ~ drugi(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f274,plain,
! [X0,X1] :
( drugi(X1)
| gt(X0,X1)
| ~ gt(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f275,plain,
! [X0,X1] :
( drugi(X1)
| gt(X0,X1)
| ~ uptakelg(sK20(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f276,plain,
! [X0,X1] :
( drugi(X1)
| gt(X0,X1)
| ~ gt(X0,sK19(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f277,plain,
! [X0,X1] :
( drugi(X1)
| gt(X0,X1)
| ~ uptakepg(sK19(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f278,plain,
! [X0,X1] :
( uptakelg(X1)
| releaselg(X1)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f288,plain,
! [X3,X0] :
( ~ gt(X0,sK24(X0))
| conditionnormo(X3)
| gt(X0,X3)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f289,plain,
! [X3,X0] :
( s2(sK24(X0))
| conditionnormo(X3)
| gt(X0,X3)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f290,plain,
! [X2,X3,X0] :
( conditionhyper(X2)
| ~ gt(sK24(X0),X2)
| conditionnormo(X3)
| gt(X0,X3)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f291,plain,
! [X3,X0] :
( bcapacityex(sK24(X0))
| bcapacityne(sK24(X0))
| conditionnormo(X3)
| gt(X0,X3)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f296,plain,
s1(n0),
inference(cnf_transformation,[],[f193]) ).
fof(f298,plain,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f193]) ).
fof(f300,plain,
! [X0] :
( ~ bcapacityne(X0)
| gt(X0,sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f301,plain,
! [X0] :
( ~ bcapacityne(X0)
| ~ conditionhyper(sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f302,plain,
! [X0] :
( ~ bcapacityex(X0)
| gt(X0,sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f303,plain,
! [X0] :
( ~ bcapacityex(X0)
| ~ conditionhyper(sK26(X0))
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_49,plain,
~ gt(X0,X0),
inference(cnf_transformation,[],[f194]) ).
cnf(c_51,plain,
( bcapacitysn(X0)
| bcapacityex(X0)
| bcapacityne(X0) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_54,plain,
( ~ bcapacitysn(X0)
| ~ bcapacityex(X0) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_97,plain,
( ~ s3(X0)
| ~ s1(X0) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_102,plain,
( ~ releaselg(X0)
| ~ sP3(X1)
| gt(X1,X0)
| gt(X1,X2)
| uptakepg(X2) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_105,plain,
( ~ sP2(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_109,plain,
( ~ sP1(X0)
| bcapacitysn(X0) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_117,plain,
( ~ conditionnormo(sK18(X0))
| gt(X0,X1)
| uptakelg(X1)
| sP3(X0)
| sP2(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_118,plain,
( ~ gt(X0,sK18(X0))
| gt(X0,X1)
| uptakelg(X1)
| sP3(X0)
| sP2(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f256]) ).
cnf(c_128,plain,
( ~ drugi(X0)
| s3(X0) ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_129,plain,
( ~ uptakepg(sK19(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_130,plain,
( ~ gt(X0,sK19(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f276]) ).
cnf(c_131,plain,
( ~ uptakelg(sK20(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f275]) ).
cnf(c_132,plain,
( ~ gt(X0,sK20(X0))
| gt(X0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_133,plain,
( gt(X0,X1)
| uptakelg(X1)
| releaselg(X1) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_143,plain,
( ~ s1(X0)
| gt(X0,X1)
| bcapacityex(sK24(X0))
| bcapacityne(sK24(X0))
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_144,plain,
( ~ gt(sK24(X0),X1)
| ~ s1(X0)
| gt(X0,X2)
| conditionnormo(X2)
| conditionhyper(X1) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_145,plain,
( ~ s1(X0)
| gt(X0,X1)
| s2(sK24(X0))
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_146,plain,
( ~ gt(X0,sK24(X0))
| ~ s1(X0)
| gt(X0,X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_151,negated_conjecture,
( ~ conditionhyper(sK26(X0))
| ~ bcapacityex(X0)
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_152,negated_conjecture,
( ~ bcapacityex(X0)
| ~ s2(X0)
| gt(X0,sK26(X0))
| gt(n0,X0) ),
inference(cnf_transformation,[],[f302]) ).
cnf(c_153,negated_conjecture,
( ~ conditionhyper(sK26(X0))
| ~ bcapacityne(X0)
| ~ s2(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_154,negated_conjecture,
( ~ bcapacityne(X0)
| ~ s2(X0)
| gt(X0,sK26(X0))
| gt(n0,X0) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_156,negated_conjecture,
~ bcapacitysn(n0),
inference(cnf_transformation,[],[f298]) ).
cnf(c_158,negated_conjecture,
s1(n0),
inference(cnf_transformation,[],[f296]) ).
cnf(c_159,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_160,plain,
( ~ drugi(n0)
| s3(n0) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_164,plain,
( ~ sP1(n0)
| bcapacitysn(n0) ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_166,plain,
( ~ sP2(n0)
| bcapacitysn(n0) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_169,plain,
( ~ s3(n0)
| ~ s1(n0) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_192,plain,
( ~ uptakelg(sK20(n0))
| gt(n0,n0)
| drugi(n0) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_193,plain,
( ~ uptakepg(sK19(n0))
| gt(n0,n0)
| drugi(n0) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_200,plain,
( ~ gt(n0,sK20(n0))
| gt(n0,n0)
| drugi(n0) ),
inference(instantiation,[status(thm)],[c_132]) ).
cnf(c_201,plain,
( ~ gt(n0,sK19(n0))
| gt(n0,n0)
| drugi(n0) ),
inference(instantiation,[status(thm)],[c_130]) ).
cnf(c_7753,plain,
( gt(X0,sK20(X1))
| gt(X1,X2)
| releaselg(sK20(X1))
| drugi(X2) ),
inference(resolution,[status(thm)],[c_133,c_131]) ).
cnf(c_7754,plain,
( gt(n0,sK20(n0))
| gt(n0,n0)
| releaselg(sK20(n0))
| drugi(n0) ),
inference(instantiation,[status(thm)],[c_7753]) ).
cnf(c_9031,plain,
( ~ gt(X0,sK18(X0))
| gt(X0,sK20(X1))
| uptakelg(sK20(X1))
| sP3(X0)
| sP2(X0)
| sP1(X0) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_9032,plain,
( ~ conditionnormo(sK18(X0))
| gt(X0,sK20(X1))
| uptakelg(sK20(X1))
| sP3(X0)
| sP2(X0)
| sP1(X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_9037,plain,
( ~ conditionnormo(sK18(n0))
| gt(n0,sK20(n0))
| uptakelg(sK20(n0))
| sP3(n0)
| sP2(n0)
| sP1(n0) ),
inference(instantiation,[status(thm)],[c_9032]) ).
cnf(c_9038,plain,
( ~ gt(n0,sK18(n0))
| gt(n0,sK20(n0))
| uptakelg(sK20(n0))
| sP3(n0)
| sP2(n0)
| sP1(n0) ),
inference(instantiation,[status(thm)],[c_9031]) ).
cnf(c_9039,plain,
( ~ s1(X0)
| gt(X0,sK18(X1))
| bcapacityex(sK24(X0))
| bcapacityne(sK24(X0))
| conditionnormo(sK18(X1)) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_9040,plain,
( ~ s1(n0)
| gt(n0,sK18(n0))
| bcapacityex(sK24(n0))
| bcapacityne(sK24(n0))
| conditionnormo(sK18(n0)) ),
inference(instantiation,[status(thm)],[c_9039]) ).
cnf(c_9041,plain,
( ~ s1(X0)
| gt(X0,sK18(X1))
| conditionnormo(sK18(X1))
| s2(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_9042,plain,
( ~ s1(n0)
| gt(n0,sK18(n0))
| conditionnormo(sK18(n0))
| s2(sK24(n0)) ),
inference(instantiation,[status(thm)],[c_9041]) ).
cnf(c_9059,plain,
( ~ bcapacitysn(sK24(X0))
| ~ bcapacityex(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_9064,plain,
( ~ bcapacitysn(sK24(n0))
| ~ bcapacityex(sK24(n0)) ),
inference(instantiation,[status(thm)],[c_9059]) ).
cnf(c_9067,plain,
( ~ bcapacityne(sK24(X0))
| ~ s2(sK24(X0))
| gt(sK24(X0),sK26(sK24(X0)))
| gt(n0,sK24(X0)) ),
inference(instantiation,[status(thm)],[c_154]) ).
cnf(c_9068,plain,
( ~ conditionhyper(sK26(sK24(X0)))
| ~ bcapacityne(sK24(X0))
| ~ s2(sK24(X0))
| gt(n0,sK24(X0)) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_9069,plain,
( ~ bcapacityex(sK24(X0))
| ~ s2(sK24(X0))
| gt(sK24(X0),sK26(sK24(X0)))
| gt(n0,sK24(X0)) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_9070,plain,
( ~ conditionhyper(sK26(sK24(X0)))
| ~ bcapacityex(sK24(X0))
| ~ s2(sK24(X0))
| gt(n0,sK24(X0)) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_9079,plain,
( ~ conditionhyper(sK26(sK24(n0)))
| ~ bcapacityex(sK24(n0))
| ~ s2(sK24(n0))
| gt(n0,sK24(n0)) ),
inference(instantiation,[status(thm)],[c_9070]) ).
cnf(c_9080,plain,
( ~ bcapacityex(sK24(n0))
| ~ s2(sK24(n0))
| gt(sK24(n0),sK26(sK24(n0)))
| gt(n0,sK24(n0)) ),
inference(instantiation,[status(thm)],[c_9069]) ).
cnf(c_9081,plain,
( ~ conditionhyper(sK26(sK24(n0)))
| ~ bcapacityne(sK24(n0))
| ~ s2(sK24(n0))
| gt(n0,sK24(n0)) ),
inference(instantiation,[status(thm)],[c_9068]) ).
cnf(c_9082,plain,
( ~ bcapacityne(sK24(n0))
| ~ s2(sK24(n0))
| gt(sK24(n0),sK26(sK24(n0)))
| gt(n0,sK24(n0)) ),
inference(instantiation,[status(thm)],[c_9067]) ).
cnf(c_9092,plain,
( bcapacitysn(sK24(X0))
| bcapacityex(sK24(X0))
| bcapacityne(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9093,plain,
( bcapacitysn(sK24(n0))
| bcapacityex(sK24(n0))
| bcapacityne(sK24(n0)) ),
inference(instantiation,[status(thm)],[c_9092]) ).
cnf(c_9105,plain,
( ~ releaselg(sK20(X0))
| ~ sP3(X1)
| gt(X1,sK20(X0))
| gt(X1,X2)
| uptakepg(X2) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_9172,plain,
( ~ releaselg(sK20(X0))
| ~ sP3(X1)
| gt(X1,sK19(X2))
| gt(X1,sK20(X0))
| uptakepg(sK19(X2)) ),
inference(instantiation,[status(thm)],[c_9105]) ).
cnf(c_9173,plain,
( ~ releaselg(sK20(n0))
| ~ sP3(n0)
| gt(n0,sK19(n0))
| gt(n0,sK20(n0))
| uptakepg(sK19(n0)) ),
inference(instantiation,[status(thm)],[c_9172]) ).
cnf(c_9230,plain,
( ~ gt(sK24(X0),sK26(sK24(X0)))
| ~ s1(X0)
| conditionhyper(sK26(sK24(X0)))
| gt(X0,X1)
| conditionnormo(X1) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_9368,plain,
( ~ gt(sK24(X0),sK26(sK24(X0)))
| ~ s1(X0)
| gt(X0,sK18(X1))
| conditionhyper(sK26(sK24(X0)))
| conditionnormo(sK18(X1)) ),
inference(instantiation,[status(thm)],[c_9230]) ).
cnf(c_9369,plain,
( ~ gt(sK24(n0),sK26(sK24(n0)))
| ~ s1(n0)
| gt(n0,sK18(n0))
| conditionhyper(sK26(sK24(n0)))
| conditionnormo(sK18(n0)) ),
inference(instantiation,[status(thm)],[c_9368]) ).
cnf(c_9462,plain,
( ~ gt(X0,sK24(X0))
| ~ s1(X0)
| gt(X0,sK18(X1))
| conditionnormo(sK18(X1)) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_9463,plain,
( ~ gt(n0,sK24(n0))
| ~ s1(n0)
| gt(n0,sK18(n0))
| conditionnormo(sK18(n0)) ),
inference(instantiation,[status(thm)],[c_9462]) ).
cnf(c_9464,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9463,c_9369,c_9173,c_9093,c_9082,c_9081,c_9080,c_9079,c_9064,c_9042,c_9040,c_9038,c_9037,c_7754,c_201,c_200,c_193,c_192,c_169,c_166,c_164,c_160,c_159,c_156,c_158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 19:07:19 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.63/1.16 % SZS status Started for theBenchmark.p
% 3.63/1.16 % SZS status Theorem for theBenchmark.p
% 3.63/1.16
% 3.63/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.63/1.16
% 3.63/1.16 ------ iProver source info
% 3.63/1.16
% 3.63/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.63/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.63/1.16 git: non_committed_changes: false
% 3.63/1.16
% 3.63/1.16 ------ Parsing...
% 3.63/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.63/1.16
% 3.63/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e
% 3.63/1.16
% 3.63/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.63/1.16 ------ Proving...
% 3.63/1.16 ------ Problem Properties
% 3.63/1.16
% 3.63/1.16
% 3.63/1.16 clauses 106
% 3.63/1.16 conjectures 8
% 3.63/1.16 EPR 41
% 3.63/1.16 Horn 47
% 3.63/1.16 unary 4
% 3.63/1.16 binary 26
% 3.63/1.16 lits 387
% 3.63/1.16 lits eq 0
% 3.63/1.16 fd_pure 0
% 3.63/1.16 fd_pseudo 0
% 3.63/1.16 fd_cond 0
% 3.63/1.16 fd_pseudo_cond 0
% 3.63/1.16 AC symbols 0
% 3.63/1.16
% 3.63/1.16 ------ Input Options Time Limit: Unbounded
% 3.63/1.16
% 3.63/1.16
% 3.63/1.16 ------
% 3.63/1.16 Current options:
% 3.63/1.16 ------
% 3.63/1.16
% 3.63/1.16
% 3.63/1.16
% 3.63/1.16
% 3.63/1.16 ------ Proving...
% 3.63/1.16
% 3.63/1.16
% 3.63/1.16 % SZS status Theorem for theBenchmark.p
% 3.63/1.16
% 3.63/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.17
% 3.89/1.17
%------------------------------------------------------------------------------