%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MED002+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:25:08 PM UTC 2026
% Result : Theorem 0.90s 0.71s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 5
% Syntax : Number of formulae : 78 ( 4 unt; 0 def)
% Number of atoms : 501 ( 0 equ)
% Maximal formula atoms : 96 ( 6 avg)
% Number of connectives : 568 ( 145 ~; 348 |; 39 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-1 aty)
% Number of variables : 142 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(treatmentne,conjecture,
( ( bcapacityne(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(n0,X4)
=> ( drugsu(X4)
& drugbg(X4) ) ) )
=> ! [X4] :
( ~ gt(n0,X4)
=> conditionnormo(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentne) ).
fof(sulfonylurea_effect,axiom,
! [X4] :
( ( ~ bcapacityex(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> drugsu(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',sulfonylurea_effect) ).
fof(ne_cure,axiom,
! [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)
=> conditionnormo(X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',ne_cure) ).
fof(biguanide_effect,axiom,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> drugbg(X5) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',biguanide_effect) ).
fof(xorcapacity2,axiom,
! [X4] :
( ~ bcapacityex(X4)
| ~ bcapacityne(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',xorcapacity2) ).
fof(c_0_5,negated_conjecture,
~ ( ( bcapacityne(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(n0,X4)
=> ( drugsu(X4)
& drugbg(X4) ) ) )
=> ! [X4] :
( ~ gt(n0,X4)
=> conditionnormo(X4) ) ),
inference(assume_negation,[status(cth)],[treatmentne]) ).
fof(c_0_6,plain,
! [X4] :
( ( ~ bcapacityex(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> drugsu(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> bsecretioni(X5) ) ),
inference(fof_simplification,[status(thm)],[sulfonylurea_effect]) ).
fof(c_0_7,negated_conjecture,
~ ( ( bcapacityne(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(n0,X4)
=> ( drugsu(X4)
& drugbg(X4) ) ) )
=> ! [X4] :
( ~ gt(n0,X4)
=> conditionnormo(X4) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X23,X25] :
( ( bsecretioni(X25)
| gt(X23,X25)
| bcapacityex(X23)
| ~ drugsu(esk2_1(X23)) )
& ( bsecretioni(X25)
| gt(X23,X25)
| bcapacityex(X23)
| ~ gt(X23,esk2_1(X23)) ) ),
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_6])])])])])]) ).
fof(c_0_9,negated_conjecture,
! [X48,X49] :
( ~ conditionnormo(esk15_0)
& ~ gt(n0,esk15_0)
& bcapacityne(n0)
& ( conditionhyper(X49)
| ~ gt(n0,X49) )
& ( gt(n0,X48)
| drugsu(X48) )
& ( gt(n0,X48)
| drugbg(X48) ) ),
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_7])])])])])]) ).
cnf(c_0_10,plain,
( ~ drugsu(esk2_1(X1))
| bsecretioni(X2)
| gt(X1,X2)
| bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( gt(n0,X1)
| drugsu(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [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)
=> conditionnormo(X5) ) ),
inference(fof_simplification,[status(thm)],[ne_cure]) ).
cnf(c_0_13,plain,
( ~ gt(X1,esk2_1(X1))
| bsecretioni(X2)
| gt(X1,X2)
| bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( gt(X2,X1)
| gt(n0,esk2_1(X2))
| bcapacityex(X2)
| bsecretioni(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_15,plain,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> drugbg(X5) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ~ releaselg(X5) ) ),
inference(fof_simplification,[status(thm)],[biguanide_effect]) ).
fof(c_0_16,plain,
! [X37,X42] :
( ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ uptakepg(esk9_1(X37))
| ~ bsecretioni(esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ uptakepg(esk9_1(X37))
| ~ bsecretioni(esk10_1(X37))
| gt(X37,esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ uptakepg(esk9_1(X37))
| ~ gt(X37,esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ uptakepg(esk9_1(X37))
| ~ gt(X37,esk10_1(X37))
| gt(X37,esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk9_1(X37))
| ~ bsecretioni(esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk9_1(X37))
| ~ bsecretioni(esk10_1(X37))
| gt(X37,esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk9_1(X37))
| ~ gt(X37,esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk9_1(X37))
| ~ gt(X37,esk10_1(X37))
| gt(X37,esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| releaselg(esk8_1(X37))
| ~ bsecretioni(esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| releaselg(esk8_1(X37))
| ~ bsecretioni(esk10_1(X37))
| gt(X37,esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| releaselg(esk8_1(X37))
| ~ gt(X37,esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| releaselg(esk8_1(X37))
| ~ gt(X37,esk10_1(X37))
| gt(X37,esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk8_1(X37))
| ~ bsecretioni(esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk8_1(X37))
| ~ bsecretioni(esk10_1(X37))
| gt(X37,esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk8_1(X37))
| ~ gt(X37,esk10_1(X37))
| ~ conditionhyper(esk11_1(X37)) )
& ( conditionnormo(X42)
| gt(X37,X42)
| ~ bcapacityne(X37)
| ~ gt(X37,esk8_1(X37))
| ~ gt(X37,esk10_1(X37))
| gt(X37,esk11_1(X37)) ) ),
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_17,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| bcapacityex(n0)
| bsecretioni(X2)
| bsecretioni(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_18,plain,
! [X26,X28] :
( ( ~ releaselg(X28)
| gt(X26,X28)
| ~ drugbg(esk3_1(X26)) )
& ( ~ releaselg(X28)
| gt(X26,X28)
| ~ gt(X26,esk3_1(X26)) ) ),
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_15])])])])])]) ).
cnf(c_0_19,plain,
( ~ bcapacityne(X1)
| ~ bsecretioni(esk10_1(X1))
| conditionnormo(X2)
| gt(X1,X2)
| releaselg(esk8_1(X1))
| gt(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( gt(n0,X1)
| bcapacityex(n0)
| bsecretioni(X1) ),
inference(ef,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( ~ releaselg(X2)
| ~ drugbg(esk3_1(X1))
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( gt(n0,X1)
| drugbg(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( ~ bcapacityne(X1)
| gt(X1,X2)
| gt(X1,esk11_1(X1))
| gt(n0,esk10_1(X1))
| bcapacityex(n0)
| conditionnormo(X2)
| releaselg(esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
bcapacityne(n0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( ~ releaselg(X2)
| gt(X1,X2)
| gt(n0,esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk10_1(n0))
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( ~ releaselg(X2)
| ~ gt(X1,esk3_1(X1))
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk3_1(X2))
| gt(X2,esk8_1(n0))
| gt(n0,esk11_1(n0))
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( ~ releaselg(X2)
| gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk10_1(n0))
| gt(n0,esk11_1(n0))
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| gt(n0,esk11_1(n0))
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_31,plain,
( ~ bcapacityne(X1)
| ~ gt(X1,esk8_1(X1))
| ~ bsecretioni(esk10_1(X1))
| conditionnormo(X2)
| gt(X1,X2)
| gt(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk10_1(n0))
| gt(n0,esk11_1(n0))
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk11_1(n0))
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24])]),c_0_20]) ).
cnf(c_0_34,plain,
( ~ bcapacityne(X1)
| ~ gt(X1,esk10_1(X1))
| conditionnormo(X2)
| gt(X1,X2)
| releaselg(esk8_1(X1))
| gt(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_35,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk10_1(n0))
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_24])]) ).
cnf(c_0_37,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(ef,[status(thm)],[c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk3_1(X2))
| gt(X2,esk8_1(n0))
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
( ~ releaselg(X2)
| gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk11_1(n0))
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_37]) ).
cnf(c_0_41,plain,
( ~ bcapacityne(X1)
| ~ bsecretioni(esk10_1(X1))
| ~ conditionhyper(esk11_1(X1))
| conditionnormo(X2)
| gt(X1,X2)
| releaselg(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,plain,
( ~ bcapacityne(X1)
| ~ gt(X1,esk8_1(X1))
| ~ gt(X1,esk10_1(X1))
| conditionnormo(X2)
| gt(X1,X2)
| gt(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_43,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk11_1(n0))
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( ~ bcapacityne(X1)
| ~ conditionhyper(esk11_1(X1))
| gt(X1,X2)
| gt(n0,esk10_1(X1))
| bcapacityex(n0)
| conditionnormo(X2)
| releaselg(esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_41,c_0_20]) ).
cnf(c_0_45,negated_conjecture,
( ~ gt(n0,X1)
| conditionhyper(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_46,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_24])]),c_0_35]) ).
cnf(c_0_47,negated_conjecture,
( ~ gt(n0,esk11_1(X1))
| ~ bcapacityne(X1)
| gt(X1,X2)
| gt(n0,esk10_1(X1))
| bcapacityex(n0)
| conditionnormo(X2)
| releaselg(esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk11_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_24])]) ).
cnf(c_0_50,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(ef,[status(thm)],[c_0_49]) ).
cnf(c_0_51,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk3_1(X2))
| gt(X2,esk8_1(n0))
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_50]) ).
cnf(c_0_52,negated_conjecture,
( ~ releaselg(X2)
| gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk10_1(n0))
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_51]) ).
cnf(c_0_53,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_54,plain,
( ~ bcapacityne(X1)
| ~ gt(X1,esk8_1(X1))
| ~ bsecretioni(esk10_1(X1))
| ~ conditionhyper(esk11_1(X1))
| conditionnormo(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_55,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk10_1(n0))
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_53]) ).
cnf(c_0_56,negated_conjecture,
( ~ conditionhyper(esk11_1(n0))
| gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_24])]),c_0_20]) ).
cnf(c_0_57,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_45]),c_0_48]) ).
cnf(c_0_58,plain,
( ~ bcapacityne(X1)
| ~ gt(X1,esk10_1(X1))
| ~ conditionhyper(esk11_1(X1))
| conditionnormo(X2)
| gt(X1,X2)
| releaselg(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_59,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk10_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( ~ conditionhyper(esk11_1(n0))
| gt(n0,X2)
| gt(n0,X1)
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_24])]) ).
cnf(c_0_61,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_45]),c_0_48]) ).
cnf(c_0_62,negated_conjecture,
( gt(n0,X1)
| bcapacityex(n0)
| conditionnormo(X1)
| releaselg(esk8_1(n0)) ),
inference(ef,[status(thm)],[c_0_61]) ).
cnf(c_0_63,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk3_1(X2))
| gt(X2,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
( ~ releaselg(X2)
| gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_63]) ).
cnf(c_0_65,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_66,plain,
( ~ bcapacityne(X1)
| ~ gt(X1,esk8_1(X1))
| ~ gt(X1,esk10_1(X1))
| ~ conditionhyper(esk11_1(X1))
| conditionnormo(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_67,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk8_1(n0))
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_65]) ).
fof(c_0_68,plain,
! [X4] :
( ~ bcapacityex(X4)
| ~ bcapacityne(X4) ),
inference(fof_simplification,[status(thm)],[xorcapacity2]) ).
cnf(c_0_69,negated_conjecture,
( ~ conditionhyper(esk11_1(n0))
| gt(n0,X2)
| gt(n0,X1)
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_24])]),c_0_59]) ).
fof(c_0_70,plain,
! [X11] :
( ~ bcapacityex(X11)
| ~ bcapacityne(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_68])]) ).
cnf(c_0_71,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| bcapacityex(n0)
| conditionnormo(X2)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_45]),c_0_48]) ).
cnf(c_0_72,plain,
( ~ bcapacityex(X1)
| ~ bcapacityne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( gt(n0,X1)
| bcapacityex(n0)
| conditionnormo(X1) ),
inference(ef,[status(thm)],[c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ conditionnormo(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_75,negated_conjecture,
( gt(n0,X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_24])]) ).
cnf(c_0_76,negated_conjecture,
~ gt(n0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MED002+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n019.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 01:20:07 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.57 Running first-order theorem proving
% 0.25/0.57 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.90/0.71 % Version: 3.5.1
% 0.90/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.90/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.90/0.71 % Starting new_bool_3 with 300s (1) cores
% 0.90/0.71 % Starting new_bool_1 with 300s (1) cores
% 0.90/0.71 % Starting sh5l with 300s (1) cores
% 0.90/0.71 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1385890 completed with status 0
% 0.90/0.71 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.90/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.90/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.90/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.90/0.71 % No SInE strategy applied
% 0.90/0.71 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.90/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.90/0.71 % Starting SubtermCWHack with 136s (1) cores
% 0.90/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.90/0.71 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.90/0.71 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.90/0.71 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.90/0.71 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1385896 completed with status 0
% 0.90/0.71 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.90/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.90/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.90/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.90/0.71 % No SInE strategy applied
% 0.90/0.71 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.90/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.90/0.71 % Starting SubtermCWHack with 136s (1) cores
% 0.90/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.90/0.71 % Preprocessing time : 0.003 s
% 0.90/0.71 % Presaturation interreduction done
% 0.90/0.71
% 0.90/0.71 % Proof found!
% 0.90/0.71 % SZS status Theorem
% 0.90/0.71 % SZS output start CNFRefutation
% See solution above
% 0.90/0.71 % Parsed axioms : 19
% 0.90/0.71 % Removed by relevancy pruning/SinE : 0
% 0.90/0.71 % Initial clauses : 57
% 0.90/0.71 % Removed in clause preprocessing : 0
% 0.90/0.71 % Initial clauses in saturation : 57
% 0.90/0.71 % Processed clauses : 245
% 0.90/0.71 % ...of these trivial : 0
% 0.90/0.71 % ...subsumed : 11
% 0.90/0.71 % ...remaining for further processing : 234
% 0.90/0.71 % Other redundant clauses eliminated : 0
% 0.90/0.71 % Clauses deleted for lack of memory : 0
% 0.90/0.71 % Backward-subsumed : 68
% 0.90/0.71 % Backward-rewritten : 0
% 0.90/0.71 % Generated clauses : 553
% 0.90/0.71 % ...of the previous two non-redundant : 461
% 0.90/0.71 % ...aggressively subsumed : 0
% 0.90/0.71 % Contextual simplify-reflections : 27
% 0.90/0.71 % Paramodulations : 515
% 0.90/0.71 % Factorizations : 38
% 0.90/0.71 % NegExts : 0
% 0.90/0.71 % Equation resolutions : 0
% 0.90/0.71 % Disequality decompositions : 0
% 0.90/0.71 % Total rewrite steps : 59
% 0.90/0.71 % ...of those cached : 58
% 0.90/0.71 % Propositional unsat checks : 0
% 0.90/0.71 % Propositional check models : 0
% 0.90/0.71 % Propositional check unsatisfiable : 0
% 0.90/0.71 % Propositional clauses : 0
% 0.90/0.71 % Propositional clauses after purity: 0
% 0.90/0.71 % Propositional unsat core size : 0
% 0.90/0.71 % Propositional preprocessing time : 0.000
% 0.90/0.71 % Propositional encoding time : 0.000
% 0.90/0.71 % Propositional solver time : 0.000
% 0.90/0.71 % Success case prop preproc time : 0.000
% 0.90/0.71 % Success case prop encoding time : 0.000
% 0.90/0.71 % Success case prop solver time : 0.000
% 0.90/0.71 % Current number of processed clauses : 109
% 0.90/0.71 % Positive orientable unit clauses : 1
% 0.90/0.71 % Positive unorientable unit clauses: 0
% 0.90/0.71 % Negative unit clauses : 3
% 0.90/0.71 % Non-unit-clauses : 105
% 0.90/0.71 % Current number of unprocessed clauses: 295
% 0.90/0.71 % ...number of literals in the above : 2738
% 0.90/0.71 % Current number of archived formulas : 0
% 0.90/0.71 % Current number of archived clauses : 125
% 0.90/0.71 % Clause-clause subsumption calls (NU) : 15086
% 0.90/0.71 % Rec. Clause-clause subsumption calls : 1007
% 0.90/0.71 % Non-unit clause-clause subsumptions : 106
% 0.90/0.71 % Unit Clause-clause subsumption calls : 2
% 0.90/0.71 % Rewrite failures with RHS unbound : 0
% 0.90/0.71 % BW rewrite match attempts : 0
% 0.90/0.71 % BW rewrite match successes : 0
% 0.90/0.71 % Condensation attempts : 0
% 0.90/0.71 % Condensation successes : 0
% 0.90/0.71 % Termbank termtop insertions : 18410
% 0.90/0.71 % Search garbage collected termcells : 843
% 0.90/0.71
% 0.90/0.71 % -------------------------------------------------
% 0.90/0.71 % User time : 0.073 s
% 0.90/0.71 % System time : 0.008 s
% 0.90/0.71 % Total time : 0.081 s
% 0.90/0.71 % Maximum resident set size: 3600 pages
% 0.90/0.71
% 0.90/0.71 % -------------------------------------------------
% 0.90/0.71 % User time : 0.370 s
% 0.90/0.71 % System time : 0.034 s
% 0.90/0.71 % Total time : 0.404 s
% 0.90/0.71 % Maximum resident set size: 4608 pages
% 0.90/0.71 % E exiting
%------------------------------------------------------------------------------