%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MED003+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 : n013.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 1.17s 1.06s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 126 ( 9 unt; 0 def)
% Number of atoms : 600 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 789 ( 315 ~; 394 |; 52 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 163 ( 0 sgn 149 !; 14 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> drugi(X1) )
=> ! [X1] :
( ~ gt(X0,X1)
=> ( uptakepg(X1)
& uptakelg(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',insulin_effect) ).
fof(f18,axiom,
! [X0] :
( ( ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& bcapacityex(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> uptakepg(X1) )
& ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) ) )
=> ! [X1] :
( ~ gt(X0,X1)
=> ( conditionhypo(X1)
| conditionnormo(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',ex_cure) ).
fof(f19,conjecture,
( ( bcapacityex(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ! [X0] :
( ~ gt(n0,X0)
=> drugi(X0) ) )
=> ! [X0] :
( ~ gt(n0,X0)
=> ( conditionhypo(X0)
| conditionnormo(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentex) ).
fof(f20,negated_conjecture,
~ ( ( bcapacityex(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ! [X0] :
( ~ gt(n0,X0)
=> drugi(X0) ) )
=> ! [X0] :
( ~ gt(n0,X0)
=> ( conditionhypo(X0)
| conditionnormo(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ gt(X0,X1)
=> drugi(X1) )
=> ! [X2] :
( ~ gt(X0,X2)
=> ( uptakepg(X2)
& uptakelg(X2) ) ) ),
inference(rectify,[],[f11]) ).
fof(f27,plain,
! [X0] :
( ( ! [X3] :
( gt(X0,X3)
=> conditionhyper(X3) )
& bcapacityex(X0)
& ! [X2] :
( ~ gt(X0,X2)
=> uptakepg(X2) )
& ! [X1] :
( ~ gt(X0,X1)
=> uptakelg(X1) ) )
=> ! [X4] :
( ~ gt(X0,X4)
=> ( conditionhypo(X4)
| conditionnormo(X4) ) ) ),
inference(rectify,[],[f18]) ).
fof(f28,plain,
~ ( ( bcapacityex(n0)
& ! [X1] :
( gt(n0,X1)
=> conditionhyper(X1) )
& ! [X0] :
( ~ gt(n0,X0)
=> drugi(X0) ) )
=> ! [X2] :
( ~ gt(n0,X2)
=> ( conditionhypo(X2)
| conditionnormo(X2) ) ) ),
inference(rectify,[],[f20]) ).
fof(f33,plain,
! [X0] :
( ? [X1] :
( ~ gt(X0,X1)
& ~ drugi(X1) )
| ! [X2] :
( gt(X0,X2)
| ( uptakepg(X2)
& uptakelg(X2) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f45,plain,
! [X0] :
( ? [X3] :
( gt(X0,X3)
& ~ conditionhyper(X3) )
| ~ bcapacityex(X0)
| ? [X2] :
( ~ gt(X0,X2)
& ~ uptakepg(X2) )
| ? [X1] :
( ~ gt(X0,X1)
& ~ uptakelg(X1) )
| ! [X4] :
( gt(X0,X4)
| conditionhypo(X4)
| conditionnormo(X4) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f46,plain,
! [X0] :
( ? [X3] :
( gt(X0,X3)
& ~ conditionhyper(X3) )
| ~ bcapacityex(X0)
| ? [X2] :
( ~ gt(X0,X2)
& ~ uptakepg(X2) )
| ? [X1] :
( ~ gt(X0,X1)
& ~ uptakelg(X1) )
| ! [X4] :
( gt(X0,X4)
| conditionhypo(X4)
| conditionnormo(X4) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
( bcapacityex(n0)
& ! [X1] :
( ~ gt(n0,X1)
| conditionhyper(X1) )
& ! [X0] :
( gt(n0,X0)
| drugi(X0) )
& ? [X2] :
( ~ gt(n0,X2)
& ~ conditionhypo(X2)
& ~ conditionnormo(X2) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f48,plain,
( bcapacityex(n0)
& ! [X1] :
( ~ gt(n0,X1)
| conditionhyper(X1) )
& ! [X0] :
( gt(n0,X0)
| drugi(X0) )
& ? [X2] :
( ~ gt(n0,X2)
& ~ conditionhypo(X2)
& ~ conditionnormo(X2) ) ),
inference(flattening,[],[f47]) ).
fof(f51,plain,
! [X0] :
( ? [X2] :
( ~ gt(X0,X2)
& ~ drugi(X2) )
| ! [X1] :
( gt(X0,X1)
| ( uptakepg(X1)
& uptakelg(X1) ) ) ),
inference(rectify,[],[f33]) ).
fof(f52,plain,
! [X0] :
( ( ~ gt(X0,sK1(X0))
& ~ drugi(sK1(X0)) )
| ! [X1] :
( gt(X0,X1)
| ( uptakepg(X1)
& uptakelg(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f51]) ).
fof(f65,plain,
! [X0] :
( ? [X4] :
( gt(X0,X4)
& ~ conditionhyper(X4) )
| ~ bcapacityex(X0)
| ? [X3] :
( ~ gt(X0,X3)
& ~ uptakepg(X3) )
| ? [X2] :
( ~ gt(X0,X2)
& ~ uptakelg(X2) )
| ! [X1] :
( gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ) ),
inference(rectify,[],[f46]) ).
fof(f66,plain,
! [X0] :
( ( gt(X0,sK14(X0))
& ~ conditionhyper(sK14(X0)) )
| ~ bcapacityex(X0)
| ( ~ gt(X0,sK13(X0))
& ~ uptakepg(sK13(X0)) )
| ( ~ gt(X0,sK12(X0))
& ~ uptakelg(sK12(X0)) )
| ! [X1] :
( gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0)),skolemize(X4,sK14(X0))],[f65]) ).
fof(f67,plain,
( bcapacityex(n0)
& ! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) )
& ! [X1] :
( gt(n0,X1)
| drugi(X1) )
& ? [X0] :
( ~ gt(n0,X0)
& ~ conditionhypo(X0)
& ~ conditionnormo(X0) ) ),
inference(rectify,[],[f48]) ).
fof(f68,plain,
( bcapacityex(n0)
& ! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) )
& ! [X1] :
( gt(n0,X1)
| drugi(X1) )
& ~ gt(n0,sK15)
& ~ conditionhypo(sK15)
& ~ conditionnormo(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f67]) ).
fof(f79,plain,
! [X0,X1] :
( ~ gt(X0,sK1(X0))
| gt(X0,X1)
| uptakepg(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f80,plain,
! [X0,X1] :
( ~ drugi(sK1(X0))
| gt(X0,X1)
| uptakepg(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
! [X0,X1] :
( ~ gt(X0,sK1(X0))
| gt(X0,X1)
| uptakelg(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f82,plain,
! [X0,X1] :
( ~ drugi(sK1(X0))
| gt(X0,X1)
| uptakelg(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f102,plain,
! [X0,X1] :
( gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f103,plain,
! [X0,X1] :
( ~ conditionhyper(sK14(X0))
| ~ bcapacityex(X0)
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f104,plain,
! [X0,X1] :
( gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ gt(X0,sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f105,plain,
! [X0,X1] :
( ~ conditionhyper(sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ gt(X0,sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f106,plain,
! [X0,X1] :
( gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ gt(X0,sK13(X0))
| ~ uptakelg(sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f107,plain,
! [X0,X1] :
( ~ conditionhyper(sK14(X0))
| ~ bcapacityex(X0)
| ~ gt(X0,sK13(X0))
| ~ uptakelg(sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f108,plain,
! [X0,X1] :
( gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f109,plain,
! [X0,X1] :
( ~ conditionhyper(sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0))
| gt(X0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f110,plain,
bcapacityex(n0),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
! [X2] :
( ~ gt(n0,X2)
| conditionhyper(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
! [X1] :
( gt(n0,X1)
| drugi(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
~ gt(n0,sK15),
inference(cnf_transformation,[],[f68]) ).
fof(f114,plain,
~ conditionhypo(sK15),
inference(cnf_transformation,[],[f68]) ).
fof(f115,plain,
~ conditionnormo(sK15),
inference(cnf_transformation,[],[f68]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( uptakelg(X1)
| gt(X0,X1)
| ~ drugi(sK1(X0)) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( uptakelg(X1)
| gt(X0,X1)
| ~ gt(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( uptakepg(X1)
| gt(X0,X1)
| ~ drugi(sK1(X0)) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( uptakepg(X1)
| gt(X0,X1)
| ~ gt(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0))
| ~ conditionhyper(sK14(X0)) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0)) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| ~ bcapacityex(X0)
| ~ uptakelg(sK12(X0))
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakelg(sK12(X0))
| ~ gt(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| ~ bcapacityex(X0)
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( conditionnormo(X1)
| conditionhypo(X1)
| gt(X0,X1)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_90,negated_conjecture,
~ conditionnormo(sK15),
inference(cnf_transformation,[],[f115]) ).
tcf(c_91,negated_conjecture,
~ conditionhypo(sK15),
inference(cnf_transformation,[],[f114]) ).
tcf(c_92,negated_conjecture,
~ gt(n0,sK15),
inference(cnf_transformation,[],[f113]) ).
tcf(c_93,negated_conjecture,
! [X0: $i] :
( drugi(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( conditionhyper(X0)
| ~ gt(n0,X0) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_95,negated_conjecture,
bcapacityex(n0),
inference(cnf_transformation,[],[f110]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] :
( uptakepg(X1)
| gt(X0,X1)
| gt(n0,sK1(X0)) ),
inference(resolution,[status(thm)],[c_61,c_93]) ).
tcf(c_522,plain,
! [X0: $i,X1: $i] :
( uptakelg(X1)
| gt(X0,X1)
| gt(n0,sK1(X0)) ),
inference(resolution,[status(thm)],[c_59,c_93]) ).
tcf(c_3527,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(resolution,[status(thm)],[c_89,c_91]) ).
tcf(c_3529,plain,
! [X0: $i] :
( ~ gt(X0,sK12(X0))
| ~ gt(X0,sK13(X0))
| ~ bcapacityex(X0)
| gt(X0,sK14(X0))
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3527,c_90,c_3527]) ).
tcf(c_3530,plain,
! [X0: $i] :
( gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(renaming,[status(thm)],[c_3529]) ).
tcf(c_3531,plain,
( gt(n0,sK15)
| gt(n0,sK14(n0))
| ~ bcapacityex(n0)
| ~ gt(n0,sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(instantiation,[status(thm)],[c_3530]) ).
tcf(c_3547,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(resolution,[status(thm)],[c_88,c_91]) ).
tcf(c_3549,plain,
! [X0: $i] :
( ~ gt(X0,sK12(X0))
| ~ gt(X0,sK13(X0))
| ~ conditionhyper(sK14(X0))
| ~ bcapacityex(X0)
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3547,c_90,c_3547]) ).
tcf(c_3550,plain,
! [X0: $i] :
( gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(renaming,[status(thm)],[c_3549]) ).
tcf(c_3551,plain,
( gt(n0,sK15)
| ~ bcapacityex(n0)
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(instantiation,[status(thm)],[c_3550]) ).
tcf(c_3567,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(resolution,[status(thm)],[c_87,c_91]) ).
tcf(c_3569,plain,
! [X0: $i] :
( ~ gt(X0,sK12(X0))
| ~ uptakepg(sK13(X0))
| ~ bcapacityex(X0)
| gt(X0,sK14(X0))
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3567,c_90,c_3567]) ).
tcf(c_3570,plain,
! [X0: $i] :
( gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ gt(X0,sK12(X0)) ),
inference(renaming,[status(thm)],[c_3569]) ).
tcf(c_3571,plain,
( gt(n0,sK15)
| gt(n0,sK14(n0))
| ~ bcapacityex(n0)
| ~ uptakepg(sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(instantiation,[status(thm)],[c_3570]) ).
tcf(c_3587,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK12(X0)) ),
inference(resolution,[status(thm)],[c_86,c_91]) ).
tcf(c_3589,plain,
! [X0: $i] :
( ~ gt(X0,sK12(X0))
| ~ conditionhyper(sK14(X0))
| ~ uptakepg(sK13(X0))
| ~ bcapacityex(X0)
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3587,c_90,c_3587]) ).
tcf(c_3590,plain,
! [X0: $i] :
( gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK12(X0)) ),
inference(renaming,[status(thm)],[c_3589]) ).
tcf(c_3591,plain,
( gt(n0,sK15)
| ~ bcapacityex(n0)
| ~ uptakepg(sK13(n0))
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK12(n0)) ),
inference(instantiation,[status(thm)],[c_3590]) ).
tcf(c_3607,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakelg(sK12(X0))
| ~ gt(X0,sK13(X0)) ),
inference(resolution,[status(thm)],[c_85,c_91]) ).
tcf(c_3609,plain,
! [X0: $i] :
( ~ gt(X0,sK13(X0))
| ~ uptakelg(sK12(X0))
| ~ bcapacityex(X0)
| gt(X0,sK14(X0))
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3607,c_90,c_3607]) ).
tcf(c_3610,plain,
! [X0: $i] :
( gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakelg(sK12(X0))
| ~ gt(X0,sK13(X0)) ),
inference(renaming,[status(thm)],[c_3609]) ).
tcf(c_3611,plain,
( gt(n0,sK15)
| gt(n0,sK14(n0))
| ~ bcapacityex(n0)
| ~ uptakelg(sK12(n0))
| ~ gt(n0,sK13(n0)) ),
inference(instantiation,[status(thm)],[c_3610]) ).
tcf(c_3627,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ uptakelg(sK12(X0))
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK13(X0)) ),
inference(resolution,[status(thm)],[c_84,c_91]) ).
tcf(c_3629,plain,
! [X0: $i] :
( ~ gt(X0,sK13(X0))
| ~ conditionhyper(sK14(X0))
| ~ uptakelg(sK12(X0))
| ~ bcapacityex(X0)
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3627,c_90,c_3627]) ).
tcf(c_3630,plain,
! [X0: $i] :
( gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ uptakelg(sK12(X0))
| ~ conditionhyper(sK14(X0))
| ~ gt(X0,sK13(X0)) ),
inference(renaming,[status(thm)],[c_3629]) ).
tcf(c_3631,plain,
( gt(n0,sK15)
| ~ bcapacityex(n0)
| ~ uptakelg(sK12(n0))
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK13(n0)) ),
inference(instantiation,[status(thm)],[c_3630]) ).
tcf(c_3647,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0)) ),
inference(resolution,[status(thm)],[c_83,c_91]) ).
tcf(c_3649,plain,
! [X0: $i] :
( ~ uptakelg(sK12(X0))
| ~ uptakepg(sK13(X0))
| ~ bcapacityex(X0)
| gt(X0,sK14(X0))
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3647,c_90,c_3647]) ).
tcf(c_3650,plain,
! [X0: $i] :
( gt(X0,sK15)
| gt(X0,sK14(X0))
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0)) ),
inference(renaming,[status(thm)],[c_3649]) ).
tcf(c_3651,plain,
( gt(n0,sK15)
| gt(n0,sK14(n0))
| ~ bcapacityex(n0)
| ~ uptakepg(sK13(n0))
| ~ uptakelg(sK12(n0)) ),
inference(instantiation,[status(thm)],[c_3650]) ).
tcf(c_3667,plain,
! [X0: $i] :
( conditionnormo(sK15)
| gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0))
| ~ conditionhyper(sK14(X0)) ),
inference(resolution,[status(thm)],[c_82,c_91]) ).
tcf(c_3669,plain,
! [X0: $i] :
( ~ conditionhyper(sK14(X0))
| ~ uptakelg(sK12(X0))
| ~ uptakepg(sK13(X0))
| ~ bcapacityex(X0)
| gt(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3667,c_90,c_3667]) ).
tcf(c_3670,plain,
! [X0: $i] :
( gt(X0,sK15)
| ~ bcapacityex(X0)
| ~ uptakepg(sK13(X0))
| ~ uptakelg(sK12(X0))
| ~ conditionhyper(sK14(X0)) ),
inference(renaming,[status(thm)],[c_3669]) ).
tcf(c_3671,plain,
( gt(n0,sK15)
| ~ bcapacityex(n0)
| ~ uptakepg(sK13(n0))
| ~ uptakelg(sK12(n0))
| ~ conditionhyper(sK14(n0)) ),
inference(instantiation,[status(thm)],[c_3670]) ).
tcf(c_4246,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| gt(n0,sK14(n0))
| ~ gt(n0,sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(resolution,[status(thm)],[c_89,c_95]) ).
tcf(c_4248,plain,
( ~ gt(n0,sK12(n0))
| ~ gt(n0,sK13(n0))
| gt(n0,sK14(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4246,c_95,c_92,c_3531]) ).
tcf(c_4249,plain,
( gt(n0,sK14(n0))
| ~ gt(n0,sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(renaming,[status(thm)],[c_4248]) ).
tcf(c_4259,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(resolution,[status(thm)],[c_88,c_95]) ).
tcf(c_4261,plain,
( ~ gt(n0,sK12(n0))
| ~ gt(n0,sK13(n0))
| ~ conditionhyper(sK14(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4259,c_95,c_92,c_3551]) ).
tcf(c_4262,plain,
( ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(renaming,[status(thm)],[c_4261]) ).
tcf(c_4272,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| gt(n0,sK14(n0))
| ~ uptakepg(sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(resolution,[status(thm)],[c_87,c_95]) ).
tcf(c_4274,plain,
( ~ gt(n0,sK12(n0))
| ~ uptakepg(sK13(n0))
| gt(n0,sK14(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4272,c_95,c_92,c_3571]) ).
tcf(c_4275,plain,
( gt(n0,sK14(n0))
| ~ uptakepg(sK13(n0))
| ~ gt(n0,sK12(n0)) ),
inference(renaming,[status(thm)],[c_4274]) ).
tcf(c_4285,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| ~ uptakepg(sK13(n0))
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK12(n0)) ),
inference(resolution,[status(thm)],[c_86,c_95]) ).
tcf(c_4287,plain,
( ~ gt(n0,sK12(n0))
| ~ conditionhyper(sK14(n0))
| ~ uptakepg(sK13(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4285,c_95,c_92,c_3591]) ).
tcf(c_4288,plain,
( ~ uptakepg(sK13(n0))
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK12(n0)) ),
inference(renaming,[status(thm)],[c_4287]) ).
tcf(c_4298,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| gt(n0,sK14(n0))
| ~ uptakelg(sK12(n0))
| ~ gt(n0,sK13(n0)) ),
inference(resolution,[status(thm)],[c_85,c_95]) ).
tcf(c_4300,plain,
( ~ gt(n0,sK13(n0))
| ~ uptakelg(sK12(n0))
| gt(n0,sK14(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4298,c_95,c_92,c_3611]) ).
tcf(c_4301,plain,
( gt(n0,sK14(n0))
| ~ uptakelg(sK12(n0))
| ~ gt(n0,sK13(n0)) ),
inference(renaming,[status(thm)],[c_4300]) ).
tcf(c_4311,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| ~ uptakelg(sK12(n0))
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK13(n0)) ),
inference(resolution,[status(thm)],[c_84,c_95]) ).
tcf(c_4313,plain,
( ~ gt(n0,sK13(n0))
| ~ conditionhyper(sK14(n0))
| ~ uptakelg(sK12(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4311,c_95,c_92,c_3631]) ).
tcf(c_4314,plain,
( ~ uptakelg(sK12(n0))
| ~ conditionhyper(sK14(n0))
| ~ gt(n0,sK13(n0)) ),
inference(renaming,[status(thm)],[c_4313]) ).
tcf(c_4324,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| gt(n0,sK14(n0))
| ~ uptakepg(sK13(n0))
| ~ uptakelg(sK12(n0)) ),
inference(resolution,[status(thm)],[c_83,c_95]) ).
tcf(c_4326,plain,
( ~ uptakelg(sK12(n0))
| ~ uptakepg(sK13(n0))
| gt(n0,sK14(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4324,c_95,c_92,c_3651]) ).
tcf(c_4327,plain,
( gt(n0,sK14(n0))
| ~ uptakepg(sK13(n0))
| ~ uptakelg(sK12(n0)) ),
inference(renaming,[status(thm)],[c_4326]) ).
tcf(c_4337,plain,
! [X0: $i] :
( conditionnormo(X0)
| conditionhypo(X0)
| gt(n0,X0)
| ~ uptakepg(sK13(n0))
| ~ uptakelg(sK12(n0))
| ~ conditionhyper(sK14(n0)) ),
inference(resolution,[status(thm)],[c_82,c_95]) ).
tcf(c_4339,plain,
( ~ conditionhyper(sK14(n0))
| ~ uptakelg(sK12(n0))
| ~ uptakepg(sK13(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_4337,c_95,c_92,c_3671]) ).
tcf(c_4340,plain,
( ~ uptakepg(sK13(n0))
| ~ uptakelg(sK12(n0))
| ~ conditionhyper(sK14(n0)) ),
inference(renaming,[status(thm)],[c_4339]) ).
tcf(c_11283,plain,
! [X0: $i,X1: $i] :
( uptakelg(X1)
| gt(X0,X1)
| gt(n0,sK1(X0)) ),
inference(demodulation,[status(thm)],[c_522]) ).
tcf(c_11284,plain,
! [X0: $i,X1: $i] :
( uptakepg(X1)
| gt(X0,X1)
| gt(n0,sK1(X0)) ),
inference(demodulation,[status(thm)],[c_511]) ).
tcf(c_11286,negated_conjecture,
! [X0: $i] :
( conditionhyper(X0)
| ~ gt(n0,X0) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_11291,plain,
! [X0: $i] :
( conditionhyper(sK14(X0))
| ~ gt(n0,sK14(X0)) ),
inference(instantiation,[status(thm)],[c_11286]) ).
tcf(c_11292,plain,
( conditionhyper(sK14(n0))
| ~ gt(n0,sK14(n0)) ),
inference(instantiation,[status(thm)],[c_11291]) ).
tcf(c_11294,plain,
! [X0: $i,X1: $i] :
( uptakelg(sK12(X1))
| gt(X0,sK12(X1))
| ~ gt(X0,sK1(X0)) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_11295,plain,
! [X0: $i,X1: $i] :
( uptakelg(sK12(X1))
| gt(n0,sK1(X0))
| gt(X0,sK12(X1)) ),
inference(instantiation,[status(thm)],[c_11283]) ).
tcf(c_11296,plain,
( uptakelg(sK12(n0))
| gt(n0,sK12(n0))
| gt(n0,sK1(n0)) ),
inference(instantiation,[status(thm)],[c_11295]) ).
tcf(c_11297,plain,
( uptakelg(sK12(n0))
| gt(n0,sK12(n0))
| ~ gt(n0,sK1(n0)) ),
inference(instantiation,[status(thm)],[c_11294]) ).
tcf(c_11304,plain,
! [X0: $i,X1: $i] :
( uptakepg(sK13(X1))
| gt(X0,sK13(X1))
| ~ gt(X0,sK1(X0)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_11305,plain,
! [X0: $i,X1: $i] :
( uptakepg(sK13(X1))
| gt(n0,sK1(X0))
| gt(X0,sK13(X1)) ),
inference(instantiation,[status(thm)],[c_11284]) ).
tcf(c_11306,plain,
( uptakepg(sK13(n0))
| gt(n0,sK13(n0))
| gt(n0,sK1(n0)) ),
inference(instantiation,[status(thm)],[c_11305]) ).
tcf(c_11307,plain,
( uptakepg(sK13(n0))
| gt(n0,sK13(n0))
| ~ gt(n0,sK1(n0)) ),
inference(instantiation,[status(thm)],[c_11304]) ).
tcf(c_11310,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11307,c_11306,c_11297,c_11296,c_11292,c_4340,c_4327,c_4314,c_4301,c_4288,c_4275,c_4262,c_4249,c_3651,c_3571,c_92,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 00:53:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.17/1.06 % SZS status Started for theBenchmark.p
% 1.17/1.06 % SZS status Theorem for theBenchmark.p
% 1.17/1.06
% 1.17/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.06
% 1.17/1.06 % ------ iProver source info
% 1.17/1.06
% 1.17/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.06 % git: non_committed_changes: false
% 1.17/1.06
% 1.17/1.06 % ------ Parsing...
% 1.17/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.17/1.06
% 1.17/1.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.17/1.06
% 1.17/1.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.17/1.06 % ------ Proving...
% 1.17/1.06 % ------ Problem Properties
% 1.17/1.06
% 1.17/1.06 %
% 1.17/1.06 % clauses 46
% 1.17/1.06 % conjectures 5
% 1.17/1.06 % EPR 16
% 1.17/1.06 % Horn 19
% 1.17/1.06 % unary 5
% 1.17/1.06 % binary 11
% 1.17/1.06 % lits 186
% 1.17/1.06 % lits eq 0
% 1.17/1.06 % fd_pure 0
% 1.17/1.06 % fd_pseudo 0
% 1.17/1.06 % fd_cond 0
% 1.17/1.06 % fd_pseudo_cond 0
% 1.17/1.06 % AC symbols 0
% 1.17/1.06
% 1.17/1.06 % ------ Schedule dynamic 5 is on
% 1.17/1.06
% 1.17/1.06 % ------ no equalities: superposition off
% 1.17/1.06
% 1.17/1.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.17/1.06
% 1.17/1.06
% 1.17/1.06 % ------
% 1.17/1.06 % Current options:
% 1.17/1.06 % ------
% 1.17/1.06
% 1.17/1.06
% 1.17/1.06 %
% 1.17/1.06
% 1.17/1.06 % ------ Proving...
% 1.17/1.06 %
% 1.17/1.06
% 1.17/1.06 % SZS status Theorem for theBenchmark.p
% 1.17/1.06
% 1.17/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.06
% 1.17/1.06
%------------------------------------------------------------------------------