%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MED010+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 : Thu Sep 24 01:25:09 PM UTC 2026
% Result : Theorem 0.17s 5.59s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 11 unt; 0 def)
% Number of atoms : 775 ( 0 equ)
% Maximal formula atoms : 400 ( 9 avg)
% Number of connectives : 990 ( 294 ~; 492 |; 136 &)
% ( 1 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 80 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 162 ( 4 sgn 99 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unsuccesfuls2,conjecture,
( ( bcapacityex(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& s2(n0) )
=> ? [X4] :
( bcapacityex(X4)
& ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& s3(X4)
& ~ gt(n0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unsuccesfuls2) ).
fof(trans_ax3,axiom,
! [X4] :
( ( ~ ! [X5] :
( ~ gt(X4,X5)
=> conditionnormo(X5) )
& s2(X4) )
=> ? [X5] :
( bcapacityex(X5)
& ! [X6] :
( gt(X5,X6)
=> conditionhyper(X6) )
& s3(X5)
& ~ gt(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',trans_ax3) ).
fof(xorcapacity2,axiom,
! [X4] :
( ~ bcapacityex(X4)
| ~ bcapacityne(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcapacity2) ).
fof(xorcapacity4,axiom,
! [X4] :
( ~ bcapacitysn(X4)
| ~ bcapacityex(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcapacity4) ).
fof(normo,axiom,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> conditionnormo(X5) )
=> ( ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& bcapacityex(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) ) )
| ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) )
& bcapacityne(X4)
& ( ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
| ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) ) )
| ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& ~ qilt27(X4)
& bcapacitysn(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) )
| ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& qilt27(X4)
& bcapacitysn(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',normo) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',irreflexivity_gt) ).
fof(uptake_completion,axiom,
! [X4,X5] :
( ~ gt(X4,X5)
=> ( ~ releaselg(X5)
=> uptakelg(X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',uptake_completion) ).
fof(insulin_completion,axiom,
! [X4] :
( ( ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
| ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> drugi(X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',insulin_completion) ).
fof(liver_glucose,axiom,
! [X4,X5] :
( ~ gt(X4,X5)
=> ( uptakelg(X5)
=> ~ releaselg(X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',liver_glucose) ).
fof(insulincomp,axiom,
! [X4] :
( drugi(X4)
=> s3(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',insulincomp) ).
fof(c_0_10,negated_conjecture,
~ ( ( bcapacityex(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& s2(n0) )
=> ? [X4] :
( bcapacityex(X4)
& ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& s3(X4)
& ~ gt(n0,X4) ) ),
inference(assume_negation,[status(cth)],[unsuccesfuls2]) ).
fof(c_0_11,plain,
! [X4] :
( ( ~ ! [X5] :
( ~ gt(X4,X5)
=> conditionnormo(X5) )
& s2(X4) )
=> ? [X5] :
( bcapacityex(X5)
& ! [X6] :
( gt(X5,X6)
=> conditionhyper(X6) )
& s3(X5)
& ~ gt(X4,X5) ) ),
inference(fof_simplification,[status(thm)],[trans_ax3]) ).
fof(c_0_12,negated_conjecture,
~ ( ( bcapacityex(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& s2(n0) )
=> ? [X4] :
( bcapacityex(X4)
& ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& s3(X4)
& ~ gt(n0,X4) ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X88,X89,X91] :
( ( conditionnormo(X89)
| gt(X88,X89)
| ~ s2(X88)
| bcapacityex(esk22_1(X88)) )
& ( conditionnormo(X89)
| gt(X88,X89)
| ~ s2(X88)
| conditionhyper(X91)
| ~ gt(esk22_1(X88),X91) )
& ( conditionnormo(X89)
| gt(X88,X89)
| ~ s2(X88)
| s3(esk22_1(X88)) )
& ( conditionnormo(X89)
| gt(X88,X89)
| ~ s2(X88)
| ~ gt(X88,esk22_1(X88)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
fof(c_0_14,negated_conjecture,
! [X92,X93] :
( ( ~ bcapacityex(X93)
| ~ s3(X93)
| gt(n0,X93)
| ~ conditionhyper(esk23_1(X93)) )
& ( ~ bcapacityex(X93)
| ~ s3(X93)
| gt(n0,X93)
| gt(X93,esk23_1(X93)) )
& bcapacityex(n0)
& ( conditionhyper(X92)
| ~ gt(n0,X92) )
& s2(n0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])]) ).
cnf(c_0_15,plain,
( ~ s2(X1)
| ~ gt(esk22_1(X1),X2)
| conditionnormo(X3)
| gt(X1,X3)
| conditionhyper(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( ~ bcapacityex(X1)
| ~ s3(X1)
| gt(n0,X1)
| gt(X1,esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( ~ s2(X1)
| conditionnormo(X2)
| gt(X1,X2)
| bcapacityex(esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( ~ s2(X1)
| conditionnormo(X2)
| gt(X1,X2)
| s3(esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( ~ s2(X2)
| gt(X2,X1)
| gt(n0,esk22_1(X2))
| conditionhyper(esk23_1(esk22_1(X2)))
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
s2(n0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X4] :
( epred1_1(X4)
<=> ( ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) )
& bcapacityne(X4)
& ( ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
| ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) ) )
| ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& ~ qilt27(X4)
& bcapacitysn(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) )
| ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& qilt27(X4)
& bcapacitysn(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) ) ) ) ),
introduced(definition) ).
cnf(c_0_22,negated_conjecture,
( ~ bcapacityex(X1)
| ~ s3(X1)
| ~ conditionhyper(esk23_1(X1))
| gt(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk22_1(n0))
| conditionhyper(esk23_1(esk22_1(n0)))
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( gt(n0,X1)
| bcapacityex(esk22_1(n0))
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( gt(n0,X1)
| conditionnormo(X1)
| s3(esk22_1(n0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
fof(c_0_26,plain,
! [X4] :
( ~ bcapacityex(X4)
| ~ bcapacityne(X4) ),
inference(fof_simplification,[status(thm)],[xorcapacity2]) ).
fof(c_0_27,plain,
! [X4] :
( epred1_1(X4)
=> ( ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) )
& bcapacityne(X4)
& ( ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
| ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) ) )
| ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& ~ qilt27(X4)
& bcapacitysn(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) )
| ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& qilt27(X4)
& bcapacitysn(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X4] :
( ~ bcapacitysn(X4)
| ~ bcapacityex(X4) ),
inference(fof_simplification,[status(thm)],[xorcapacity4]) ).
fof(c_0_29,plain,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> conditionnormo(X5) )
=> ( ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& bcapacityex(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) ) )
| epred1_1(X4) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[normo]),c_0_21]) ).
cnf(c_0_30,plain,
( ~ s2(X1)
| ~ gt(X1,esk22_1(X1))
| conditionnormo(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk22_1(n0))
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
fof(c_0_32,plain,
! [X12] :
( ~ bcapacityex(X12)
| ~ bcapacityne(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
fof(c_0_33,plain,
! [X95,X96,X97,X98,X99,X100,X101,X102,X103] :
( ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| conditionhyper(X99)
| ~ gt(X95,X99)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| conditionhyper(X99)
| ~ gt(X95,X99)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ qilt27(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ qilt27(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ qilt27(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ qilt27(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| bcapacitysn(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| bcapacitysn(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| bcapacitysn(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| bcapacitysn(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ releaselg(X98)
| gt(X95,X98)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ releaselg(X98)
| gt(X95,X98)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ releaselg(X98)
| gt(X95,X98)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| conditionhyper(X97)
| ~ gt(X95,X97)
| ~ releaselg(X98)
| gt(X95,X98)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ qilt27(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ qilt27(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ qilt27(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ qilt27(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| bcapacitysn(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| bcapacitysn(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| bcapacitysn(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| bcapacitysn(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| qilt27(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| conditionhyper(X99)
| ~ gt(X95,X99)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ qilt27(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ qilt27(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ qilt27(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ qilt27(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| bcapacitysn(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| bcapacitysn(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| bcapacitysn(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| bcapacitysn(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bcapacitysn(X95)
| ~ releaselg(X98)
| gt(X95,X98)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| conditionhyper(X99)
| ~ gt(X95,X99)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| conditionhyper(X99)
| ~ gt(X95,X99)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| conditionhyper(X99)
| ~ gt(X95,X99)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ qilt27(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ qilt27(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ qilt27(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ qilt27(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| bcapacitysn(X95)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| bcapacitysn(X95)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| bcapacitysn(X95)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| bcapacitysn(X95)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ releaselg(X98)
| gt(X95,X98)
| conditionhyper(X103)
| ~ gt(X95,X103) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ releaselg(X98)
| gt(X95,X98)
| bsecretioni(X102)
| gt(X95,X102) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ releaselg(X98)
| gt(X95,X98)
| bcapacityne(X95) )
& ( ~ epred1_1(X95)
| bsecretioni(X96)
| gt(X95,X96)
| ~ releaselg(X98)
| gt(X95,X98)
| uptakepg(X101)
| gt(X95,X101)
| ~ releaselg(X100)
| gt(X95,X100) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).
fof(c_0_34,plain,
! [X14] :
( ~ bcapacitysn(X14)
| ~ bcapacityex(X14) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_28])]) ).
fof(c_0_35,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_36,plain,
! [X4,X5] :
( ~ gt(X4,X5)
=> ( ~ releaselg(X5)
=> uptakelg(X5) ) ),
inference(fof_simplification,[status(thm)],[uptake_completion]) ).
fof(c_0_37,plain,
! [X56,X58,X59,X60] :
( ( ~ conditionnormo(esk15_1(X56))
| epred1_1(X56)
| conditionhyper(X60)
| ~ gt(X56,X60) )
& ( ~ conditionnormo(esk15_1(X56))
| epred1_1(X56)
| bcapacityex(X56) )
& ( ~ conditionnormo(esk15_1(X56))
| epred1_1(X56)
| uptakepg(X59)
| gt(X56,X59) )
& ( ~ conditionnormo(esk15_1(X56))
| epred1_1(X56)
| uptakelg(X58)
| gt(X56,X58) )
& ( ~ gt(X56,esk15_1(X56))
| epred1_1(X56)
| conditionhyper(X60)
| ~ gt(X56,X60) )
& ( ~ gt(X56,esk15_1(X56))
| epred1_1(X56)
| bcapacityex(X56) )
& ( ~ gt(X56,esk15_1(X56))
| epred1_1(X56)
| uptakepg(X59)
| gt(X56,X59) )
& ( ~ gt(X56,esk15_1(X56))
| epred1_1(X56)
| uptakelg(X58)
| gt(X56,X58) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])]) ).
cnf(c_0_38,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_20])]) ).
cnf(c_0_39,plain,
( ~ bcapacityex(X1)
| ~ bcapacityne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
bcapacityex(n0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_41,plain,
( ~ epred1_1(X1)
| bcapacitysn(X1)
| bcapacitysn(X1)
| bcapacityne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( ~ bcapacitysn(X1)
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_43,plain,
! [X4] :
( ( ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
| ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> drugi(X5) ) ),
inference(fof_simplification,[status(thm)],[insulin_completion]) ).
fof(c_0_44,plain,
! [X7] : ~ gt(X7,X7),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_35])]) ).
fof(c_0_45,plain,
! [X72,X73] :
( uptakelg(X73)
| releaselg(X73)
| gt(X72,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
cnf(c_0_46,plain,
( ~ conditionnormo(esk15_1(X1))
| epred1_1(X1)
| uptakelg(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
( gt(n0,X1)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_38]) ).
cnf(c_0_48,negated_conjecture,
~ bcapacityne(n0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
( ~ epred1_1(X1)
| bcapacitysn(X1)
| bcapacityne(X1) ),
inference(cn,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
~ bcapacitysn(n0),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
fof(c_0_51,plain,
! [X68,X71] :
( ( drugi(X71)
| gt(X68,X71)
| ~ uptakepg(esk17_1(X68)) )
& ( drugi(X71)
| gt(X68,X71)
| ~ gt(X68,esk17_1(X68)) )
& ( drugi(X71)
| gt(X68,X71)
| ~ uptakelg(esk16_1(X68)) )
& ( drugi(X71)
| gt(X68,X71)
| ~ gt(X68,esk16_1(X68)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])])]) ).
cnf(c_0_52,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
( uptakelg(X2)
| releaselg(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_54,plain,
! [X4,X5] :
( ~ gt(X4,X5)
=> ( uptakelg(X5)
=> ~ releaselg(X5) ) ),
inference(fof_simplification,[status(thm)],[liver_glucose]) ).
cnf(c_0_55,plain,
( ~ gt(X1,esk15_1(X1))
| epred1_1(X1)
| uptakelg(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_56,negated_conjecture,
( gt(X1,X2)
| gt(n0,esk15_1(X1))
| uptakelg(X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
~ epred1_1(n0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
fof(c_0_58,plain,
! [X67] :
( s3(X67)
| ~ drugi(X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[insulincomp])])]) ).
cnf(c_0_59,plain,
( ~ uptakelg(esk16_1(X1))
| drugi(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( uptakelg(X1)
| releaselg(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_61,plain,
! [X22,X23] :
( ~ releaselg(X23)
| ~ uptakelg(X23)
| gt(X22,X23) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
cnf(c_0_62,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| uptakelg(X2)
| uptakelg(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
( ~ drugi(X1)
| s3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,plain,
( gt(X1,X2)
| drugi(X2)
| releaselg(esk16_1(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,plain,
( ~ releaselg(X2)
| ~ uptakelg(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( gt(n0,X1)
| uptakelg(X1) ),
inference(ef,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
( gt(X2,X1)
| releaselg(esk16_1(X2))
| s3(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( ~ releaselg(X1)
| gt(X2,X1)
| gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( releaselg(esk16_1(X1))
| s3(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( ~ gt(n0,X1)
| conditionhyper(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_71,negated_conjecture,
( gt(X2,esk16_1(X1))
| gt(n0,esk16_1(X1))
| s3(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( ~ gt(n0,esk23_1(X1))
| ~ bcapacityex(X1)
| ~ s3(X1)
| gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_70]) ).
cnf(c_0_73,plain,
( ~ gt(X1,esk16_1(X1))
| drugi(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_74,negated_conjecture,
( gt(n0,esk16_1(X1))
| s3(X1) ),
inference(ef,[status(thm)],[c_0_71]) ).
cnf(c_0_75,negated_conjecture,
~ s3(n0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_16]),c_0_40])]),c_0_52]) ).
cnf(c_0_76,negated_conjecture,
( gt(n0,X1)
| drugi(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( gt(n0,X1)
| s3(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_76]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_77]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MED010+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.40 % Computer : n018.cluster.edu
% 0.14/5.40 % Model : x86_64 x86_64
% 0.14/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.40 % Memory : 8046.5625MB
% 0.14/5.40 % OS : Linux 6.8.0-71-generic
% 0.14/5.40 % CPULimit : 300
% 0.14/5.40 % WCLimit : 300
% 0.14/5.40 % DateTime : Mon Sep 21 01:22:20 UTC 2026
% 0.14/5.40 % CPUTime :
% 0.14/5.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.45 Running first-order theorem proving
% 0.14/5.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.59 % Version: 3.5.1
% 0.17/5.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.59 % Starting new_bool_3 with 300s (1) cores
% 0.17/5.59 % Starting new_bool_1 with 300s (1) cores
% 0.17/5.59 % Starting sh5l with 300s (1) cores
% 0.17/5.59 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 664465 completed with status 0
% 0.17/5.59 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/5.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.59 % No SInE strategy applied
% 0.17/5.59 % Search class: FGHNF-FSLF11-SFFFFFNN
% 0.17/5.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.59 % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/5.59 % Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.17/5.59 % Starting new_bool_3 with 136s (1) cores
% 0.17/5.59 % Starting new_bool_1 with 136s (1) cores
% 0.17/5.59 % G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with pid 664474 completed with status 0
% 0.17/5.59 % Result found by G-E--_200_C18_F1_AE_CS_SP_PI_S0Y
% 0.17/5.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.59 % No SInE strategy applied
% 0.17/5.59 % Search class: FGHNF-FSLF11-SFFFFFNN
% 0.17/5.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.59 % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/5.59 % Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.17/5.59 % Preprocessing time : 0.002 s
% 0.17/5.59
% 0.17/5.59 % Proof found!
% 0.17/5.59 % SZS status Theorem
% 0.17/5.59 % SZS output start CNFRefutation
% See solution above
% 0.17/5.59 % Parsed axioms : 41
% 0.17/5.59 % Removed by relevancy pruning/SinE : 0
% 0.17/5.59 % Initial clauses : 168
% 0.17/5.59 % Removed in clause preprocessing : 4
% 0.17/5.59 % Initial clauses in saturation : 164
% 0.17/5.59 % Processed clauses : 730
% 0.17/5.59 % ...of these trivial : 1
% 0.17/5.59 % ...subsumed : 163
% 0.17/5.59 % ...remaining for further processing : 566
% 0.17/5.59 % Other redundant clauses eliminated : 0
% 0.17/5.59 % Clauses deleted for lack of memory : 0
% 0.17/5.59 % Backward-subsumed : 66
% 0.17/5.59 % Backward-rewritten : 0
% 0.17/5.59 % Generated clauses : 6569
% 0.17/5.59 % ...of the previous two non-redundant : 6335
% 0.17/5.59 % ...aggressively subsumed : 0
% 0.17/5.59 % Contextual simplify-reflections : 37
% 0.17/5.59 % Paramodulations : 6557
% 0.17/5.59 % Factorizations : 12
% 0.17/5.59 % NegExts : 0
% 0.17/5.59 % Equation resolutions : 0
% 0.17/5.59 % Disequality decompositions : 0
% 0.17/5.59 % Total rewrite steps : 23
% 0.17/5.59 % ...of those cached : 20
% 0.17/5.59 % Propositional unsat checks : 0
% 0.17/5.59 % Propositional check models : 0
% 0.17/5.59 % Propositional check unsatisfiable : 0
% 0.17/5.59 % Propositional clauses : 0
% 0.17/5.59 % Propositional clauses after purity: 0
% 0.17/5.59 % Propositional unsat core size : 0
% 0.17/5.59 % Propositional preprocessing time : 0.000
% 0.17/5.59 % Propositional encoding time : 0.000
% 0.17/5.59 % Propositional solver time : 0.000
% 0.17/5.59 % Success case prop preproc time : 0.000
% 0.17/5.59 % Success case prop encoding time : 0.000
% 0.17/5.59 % Success case prop solver time : 0.000
% 0.17/5.59 % Current number of processed clauses : 500
% 0.17/5.59 % Positive orientable unit clauses : 3
% 0.17/5.59 % Positive unorientable unit clauses: 0
% 0.17/5.59 % Negative unit clauses : 5
% 0.17/5.59 % Non-unit-clauses : 492
% 0.17/5.59 % Current number of unprocessed clauses: 5631
% 0.17/5.59 % ...number of literals in the above : 37581
% 0.17/5.59 % Current number of archived formulas : 0
% 0.17/5.59 % Current number of archived clauses : 66
% 0.17/5.59 % Clause-clause subsumption calls (NU) : 56483
% 0.17/5.59 % Rec. Clause-clause subsumption calls : 7960
% 0.17/5.59 % Non-unit clause-clause subsumptions : 207
% 0.17/5.59 % Unit Clause-clause subsumption calls : 217
% 0.17/5.59 % Rewrite failures with RHS unbound : 0
% 0.17/5.59 % BW rewrite match attempts : 1
% 0.17/5.59 % BW rewrite match successes : 1
% 0.17/5.59 % Condensation attempts : 0
% 0.17/5.59 % Condensation successes : 0
% 0.17/5.59 % Termbank termtop insertions : 131374
% 0.17/5.59 % Search garbage collected termcells : 1845
% 0.17/5.59
% 0.17/5.59 % -------------------------------------------------
% 0.17/5.59 % User time : 0.117 s
% 0.17/5.59 % System time : 0.009 s
% 0.17/5.59 % Total time : 0.127 s
% 0.17/5.59 % Maximum resident set size: 3932 pages
% 0.17/5.59
% 0.17/5.59 % -------------------------------------------------
% 0.17/5.59 % User time : 0.451 s
% 0.17/5.59 % System time : 0.032 s
% 0.17/5.59 % Total time : 0.482 s
% 0.17/5.59 % Maximum resident set size: 4864 pages
% 0.17/5.59 % E exiting
%------------------------------------------------------------------------------