%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MED003+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 : n020.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 0.23s 5.58s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 6
% Syntax : Number of formulae : 79 ( 9 unt; 0 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 56 ( 4 avg)
% Number of connectives : 434 ( 129 ~; 248 |; 29 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 108 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(treatmentex,conjecture,
( ( bcapacityex(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(n0,X4)
=> drugi(X4) ) )
=> ! [X4] :
( ~ gt(n0,X4)
=> ( conditionhypo(X4)
| conditionnormo(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',treatmentex) ).
fof(insulin_effect,axiom,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> drugi(X5) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( uptakepg(X5)
& uptakelg(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',insulin_effect) ).
fof(ex_cure,axiom,
! [X4] :
( ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& bcapacityex(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( conditionhypo(X5)
| conditionnormo(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',ex_cure) ).
fof(xorcondition2,axiom,
! [X4] :
( ~ conditionhypo(X4)
| ~ conditionhyper(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcondition2) ).
fof(xorcondition3,axiom,
! [X4] :
( ~ conditionnormo(X4)
| ~ conditionhyper(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcondition3) ).
fof(xorcondition1,axiom,
! [X4] :
( conditionnormo(X4)
| conditionhypo(X4)
| conditionhyper(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcondition1) ).
fof(c_0_6,negated_conjecture,
~ ( ( bcapacityex(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(n0,X4)
=> drugi(X4) ) )
=> ! [X4] :
( ~ gt(n0,X4)
=> ( conditionhypo(X4)
| conditionnormo(X4) ) ) ),
inference(assume_negation,[status(cth)],[treatmentex]) ).
fof(c_0_7,plain,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> drugi(X5) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( uptakepg(X5)
& uptakelg(X5) ) ) ),
inference(fof_simplification,[status(thm)],[insulin_effect]) ).
fof(c_0_8,negated_conjecture,
~ ( ( bcapacityex(n0)
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& ! [X4] :
( ~ gt(n0,X4)
=> drugi(X4) ) )
=> ! [X4] :
( ~ gt(n0,X4)
=> ( conditionhypo(X4)
| conditionnormo(X4) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X20,X22] :
( ( ~ drugi(esk2_1(X20))
| gt(X20,X22)
| uptakepg(X22) )
& ( ~ drugi(esk2_1(X20))
| gt(X20,X22)
| uptakelg(X22) )
& ( ~ gt(X20,esk2_1(X20))
| gt(X20,X22)
| uptakepg(X22) )
& ( ~ gt(X20,esk2_1(X20))
| gt(X20,X22)
| uptakelg(X22) ) ),
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])])])])])]) ).
fof(c_0_10,negated_conjecture,
! [X6,X7] :
( ~ conditionhypo(esk1_0)
& ~ conditionnormo(esk1_0)
& ~ gt(n0,esk1_0)
& bcapacityex(n0)
& ( conditionhyper(X7)
| ~ gt(n0,X7) )
& ( drugi(X6)
| gt(n0,X6) ) ),
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_8])])])])]) ).
cnf(c_0_11,plain,
( ~ drugi(esk2_1(X2))
| gt(X2,X1)
| uptakelg(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( drugi(X1)
| gt(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X4] :
( ( ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) )
& bcapacityex(X4)
& ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( conditionhypo(X5)
| conditionnormo(X5) ) ) ),
inference(fof_simplification,[status(thm)],[ex_cure]) ).
cnf(c_0_14,plain,
( ~ gt(X2,esk2_1(X2))
| gt(X2,X1)
| uptakelg(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( gt(X2,X1)
| gt(n0,esk2_1(X2))
| uptakelg(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( ~ drugi(esk2_1(X2))
| gt(X2,X1)
| uptakepg(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_17,plain,
! [X30,X34] :
( ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ uptakelg(esk7_1(X30))
| ~ uptakepg(esk8_1(X30))
| ~ conditionhyper(esk9_1(X30)) )
& ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ uptakelg(esk7_1(X30))
| ~ uptakepg(esk8_1(X30))
| gt(X30,esk9_1(X30)) )
& ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ uptakelg(esk7_1(X30))
| ~ gt(X30,esk8_1(X30))
| ~ conditionhyper(esk9_1(X30)) )
& ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ uptakelg(esk7_1(X30))
| ~ gt(X30,esk8_1(X30))
| gt(X30,esk9_1(X30)) )
& ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ gt(X30,esk7_1(X30))
| ~ uptakepg(esk8_1(X30))
| ~ conditionhyper(esk9_1(X30)) )
& ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ gt(X30,esk7_1(X30))
| ~ uptakepg(esk8_1(X30))
| gt(X30,esk9_1(X30)) )
& ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ gt(X30,esk7_1(X30))
| ~ gt(X30,esk8_1(X30))
| ~ conditionhyper(esk9_1(X30)) )
& ( conditionhypo(X34)
| conditionnormo(X34)
| gt(X30,X34)
| ~ bcapacityex(X30)
| ~ gt(X30,esk7_1(X30))
| ~ gt(X30,esk8_1(X30))
| gt(X30,esk9_1(X30)) ) ),
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_13])])])])])]) ).
cnf(c_0_18,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| uptakelg(X2)
| uptakelg(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( ~ gt(X2,esk2_1(X2))
| gt(X2,X1)
| uptakepg(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
( gt(X2,X1)
| gt(n0,esk2_1(X2))
| uptakepg(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_21,plain,
( ~ bcapacityex(X1)
| ~ uptakelg(esk7_1(X1))
| ~ uptakepg(esk8_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2)
| gt(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( gt(n0,X1)
| uptakelg(X1) ),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( gt(n0,X2)
| gt(n0,X1)
| uptakepg(X2)
| uptakepg(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_24,plain,
! [X4] :
( ~ conditionhypo(X4)
| ~ conditionhyper(X4) ),
inference(fof_simplification,[status(thm)],[xorcondition2]) ).
cnf(c_0_25,negated_conjecture,
( ~ bcapacityex(X2)
| ~ uptakepg(esk8_1(X2))
| gt(X2,X1)
| gt(X2,esk9_1(X2))
| gt(n0,esk7_1(X2))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( gt(n0,X1)
| uptakepg(X1) ),
inference(ef,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X4] :
( ~ conditionnormo(X4)
| ~ conditionhyper(X4) ),
inference(fof_simplification,[status(thm)],[xorcondition3]) ).
fof(c_0_28,plain,
! [X10] :
( ~ conditionhypo(X10)
| ~ conditionhyper(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_24])]) ).
cnf(c_0_29,negated_conjecture,
( ~ bcapacityex(X2)
| gt(X2,X1)
| gt(X2,esk9_1(X2))
| gt(n0,esk7_1(X2))
| gt(n0,esk8_1(X2))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
bcapacityex(n0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_31,plain,
! [X12] :
( ~ conditionnormo(X12)
| ~ conditionhyper(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_32,plain,
! [X9] :
( conditionnormo(X9)
| conditionhypo(X9)
| conditionhyper(X9) ),
inference(variable_rename,[status(thm)],[xorcondition1]) ).
cnf(c_0_33,plain,
( ~ conditionhypo(X1)
| ~ conditionhyper(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk8_1(n0))
| gt(n0,esk7_1(n0))
| gt(n0,esk9_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( ~ conditionnormo(X1)
| ~ conditionhyper(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
~ conditionhypo(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,plain,
( conditionnormo(X1)
| conditionhypo(X1)
| conditionhyper(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
~ conditionnormo(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
( ~ conditionhyper(X1)
| gt(n0,X1)
| gt(n0,esk9_1(n0))
| gt(n0,esk7_1(n0))
| gt(n0,esk8_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_40,negated_conjecture,
conditionhyper(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
~ gt(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_42,plain,
( ~ bcapacityex(X1)
| ~ uptakelg(esk7_1(X1))
| ~ gt(X1,esk8_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2)
| gt(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,negated_conjecture,
( gt(n0,esk8_1(n0))
| gt(n0,esk7_1(n0))
| gt(n0,esk9_1(n0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk9_1(n0))
| gt(n0,esk7_1(n0))
| conditionhypo(X1)
| 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_30])]),c_0_22]) ).
cnf(c_0_45,negated_conjecture,
( ~ conditionhyper(X1)
| gt(n0,X1)
| gt(n0,esk7_1(n0))
| gt(n0,esk9_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_44]),c_0_35]) ).
cnf(c_0_46,plain,
( ~ bcapacityex(X1)
| ~ gt(X1,esk7_1(X1))
| ~ uptakepg(esk8_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2)
| gt(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_47,negated_conjecture,
( gt(n0,esk9_1(n0))
| gt(n0,esk7_1(n0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( ~ uptakepg(esk8_1(n0))
| gt(n0,X1)
| gt(n0,esk9_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_30])]) ).
cnf(c_0_49,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk9_1(n0))
| gt(n0,esk8_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_50,negated_conjecture,
( ~ conditionhyper(X1)
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| gt(n0,esk9_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_35]) ).
cnf(c_0_51,plain,
( ~ bcapacityex(X1)
| ~ uptakelg(esk7_1(X1))
| ~ uptakepg(esk8_1(X1))
| ~ conditionhyper(esk9_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,plain,
( ~ bcapacityex(X1)
| ~ gt(X1,esk7_1(X1))
| ~ gt(X1,esk8_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2)
| gt(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,negated_conjecture,
( gt(n0,esk9_1(n0))
| gt(n0,esk8_1(n0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_41]) ).
cnf(c_0_54,negated_conjecture,
( ~ bcapacityex(X2)
| ~ conditionhyper(esk9_1(X2))
| ~ uptakepg(esk8_1(X2))
| gt(X2,X1)
| gt(n0,esk7_1(X2))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_22]) ).
cnf(c_0_55,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk9_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_30])]),c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( ~ bcapacityex(X2)
| ~ conditionhyper(esk9_1(X2))
| gt(X2,X1)
| gt(n0,esk7_1(X2))
| gt(n0,esk8_1(X2))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_57,negated_conjecture,
( ~ gt(n0,X1)
| conditionhyper(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58,negated_conjecture,
( ~ conditionhyper(X1)
| gt(n0,X1)
| gt(n0,esk9_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_35]) ).
cnf(c_0_59,negated_conjecture,
( ~ gt(n0,esk9_1(X2))
| ~ bcapacityex(X2)
| gt(X2,X1)
| gt(n0,esk8_1(X2))
| gt(n0,esk7_1(X2))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
gt(n0,esk9_1(n0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_41]) ).
cnf(c_0_61,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk7_1(n0))
| gt(n0,esk8_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_30])]) ).
cnf(c_0_62,negated_conjecture,
( ~ conditionhyper(X1)
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| gt(n0,esk7_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_61]),c_0_35]) ).
cnf(c_0_63,plain,
( ~ bcapacityex(X1)
| ~ uptakelg(esk7_1(X1))
| ~ gt(X1,esk8_1(X1))
| ~ conditionhyper(esk9_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_64,negated_conjecture,
( gt(n0,esk7_1(n0))
| gt(n0,esk8_1(n0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_40]),c_0_41]) ).
cnf(c_0_65,negated_conjecture,
( ~ conditionhyper(esk9_1(n0))
| gt(n0,X1)
| gt(n0,esk7_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_30])]),c_0_22]) ).
cnf(c_0_66,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk7_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_57]),c_0_60])]) ).
cnf(c_0_67,negated_conjecture,
( ~ conditionhyper(X1)
| gt(n0,X1)
| gt(n0,esk7_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_66]),c_0_35]) ).
cnf(c_0_68,plain,
( ~ bcapacityex(X1)
| ~ gt(X1,esk7_1(X1))
| ~ uptakepg(esk8_1(X1))
| ~ conditionhyper(esk9_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_69,negated_conjecture,
gt(n0,esk7_1(n0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_40]),c_0_41]) ).
cnf(c_0_70,negated_conjecture,
( ~ conditionhyper(esk9_1(n0))
| ~ uptakepg(esk8_1(n0))
| gt(n0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_30])]) ).
cnf(c_0_71,negated_conjecture,
( ~ conditionhyper(esk9_1(n0))
| gt(n0,X1)
| gt(n0,esk8_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_26]) ).
cnf(c_0_72,negated_conjecture,
( gt(n0,X1)
| gt(n0,esk8_1(n0))
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_60])]) ).
cnf(c_0_73,negated_conjecture,
( ~ conditionhyper(X1)
| gt(n0,X1)
| gt(n0,esk8_1(n0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_72]),c_0_35]) ).
cnf(c_0_74,plain,
( ~ bcapacityex(X1)
| ~ gt(X1,esk7_1(X1))
| ~ gt(X1,esk8_1(X1))
| ~ conditionhyper(esk9_1(X1))
| conditionhypo(X2)
| conditionnormo(X2)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_75,negated_conjecture,
gt(n0,esk8_1(n0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_40]),c_0_41]) ).
cnf(c_0_76,negated_conjecture,
( ~ conditionhyper(esk9_1(n0))
| gt(n0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_30]),c_0_69])]) ).
cnf(c_0_77,negated_conjecture,
( gt(n0,X1)
| conditionhypo(X1)
| conditionnormo(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_57]),c_0_60])]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_77]),c_0_38]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/5.45 % Computer : n020.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 01:20:53 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/5.51 Running first-order theorem proving
% 0.23/5.51 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
% 0.23/5.58 % Version: 3.5.1
% 0.23/5.58 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/5.58 % Starting new_bool_3 with 300s (1) cores
% 0.23/5.58 % Starting new_bool_1 with 300s (1) cores
% 0.23/5.58 % Starting sh5l with 300s (1) cores
% 0.23/5.58 % new_bool_3 with pid 1684730 completed with status 0
% 0.23/5.58 % Result found by new_bool_3
% 0.23/5.58 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/5.58 % Starting new_bool_3 with 300s (1) cores
% 0.23/5.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/5.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/5.58 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.23/5.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/5.58 % Starting SubtermCWHack with 31s (1) cores
% 0.23/5.58 % SubtermCWHack with pid 1684733 completed with status 0
% 0.23/5.58 % Result found by SubtermCWHack
% 0.23/5.58 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/5.58 % Starting new_bool_3 with 300s (1) cores
% 0.23/5.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/5.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/5.58 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.23/5.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/5.58 % Starting SubtermCWHack with 31s (1) cores
% 0.23/5.58 % Preprocessing time : 0.003 s
% 0.23/5.58
% 0.23/5.58 % Proof found!
% 0.23/5.58 % SZS status Theorem
% 0.23/5.58 % SZS output start CNFRefutation
% See solution above
% 0.23/5.58 % Parsed axioms : 19
% 0.23/5.58 % Removed by relevancy pruning/SinE : 3
% 0.23/5.58 % Initial clauses : 49
% 0.23/5.58 % Removed in clause preprocessing : 0
% 0.23/5.58 % Initial clauses in saturation : 49
% 0.23/5.58 % Processed clauses : 214
% 0.23/5.58 % ...of these trivial : 1
% 0.23/5.58 % ...subsumed : 34
% 0.23/5.58 % ...remaining for further processing : 179
% 0.23/5.58 % Other redundant clauses eliminated : 0
% 0.23/5.58 % Clauses deleted for lack of memory : 0
% 0.23/5.58 % Backward-subsumed : 43
% 0.23/5.58 % Backward-rewritten : 10
% 0.23/5.58 % Generated clauses : 298
% 0.23/5.58 % ...of the previous two non-redundant : 258
% 0.23/5.58 % ...aggressively subsumed : 0
% 0.23/5.58 % Contextual simplify-reflections : 15
% 0.23/5.58 % Paramodulations : 290
% 0.23/5.58 % Factorizations : 8
% 0.23/5.58 % NegExts : 0
% 0.23/5.58 % Equation resolutions : 0
% 0.23/5.58 % Disequality decompositions : 0
% 0.23/5.58 % Total rewrite steps : 81
% 0.23/5.58 % ...of those cached : 75
% 0.23/5.58 % Propositional unsat checks : 0
% 0.23/5.58 % Propositional check models : 0
% 0.23/5.58 % Propositional check unsatisfiable : 0
% 0.23/5.58 % Propositional clauses : 0
% 0.23/5.58 % Propositional clauses after purity: 0
% 0.23/5.58 % Propositional unsat core size : 0
% 0.23/5.58 % Propositional preprocessing time : 0.000
% 0.23/5.58 % Propositional encoding time : 0.000
% 0.23/5.58 % Propositional solver time : 0.000
% 0.23/5.58 % Success case prop preproc time : 0.000
% 0.23/5.58 % Success case prop encoding time : 0.000
% 0.23/5.58 % Success case prop solver time : 0.000
% 0.23/5.58 % Current number of processed clauses : 126
% 0.23/5.58 % Positive orientable unit clauses : 7
% 0.23/5.58 % Positive unorientable unit clauses: 0
% 0.23/5.58 % Negative unit clauses : 8
% 0.23/5.58 % Non-unit-clauses : 111
% 0.23/5.58 % Current number of unprocessed clauses: 73
% 0.23/5.58 % ...number of literals in the above : 529
% 0.23/5.58 % Current number of archived formulas : 0
% 0.23/5.58 % Current number of archived clauses : 53
% 0.23/5.58 % Clause-clause subsumption calls (NU) : 11630
% 0.23/5.58 % Rec. Clause-clause subsumption calls : 2178
% 0.23/5.58 % Non-unit clause-clause subsumptions : 86
% 0.23/5.58 % Unit Clause-clause subsumption calls : 265
% 0.23/5.58 % Rewrite failures with RHS unbound : 0
% 0.23/5.58 % BW rewrite match attempts : 5
% 0.23/5.58 % BW rewrite match successes : 5
% 0.23/5.58 % Condensation attempts : 0
% 0.23/5.58 % Condensation successes : 0
% 0.23/5.58 % Termbank termtop insertions : 11005
% 0.23/5.58 % Search garbage collected termcells : 694
% 0.23/5.58
% 0.23/5.58 % -------------------------------------------------
% 0.23/5.58 % User time : 0.047 s
% 0.23/5.58 % System time : 0.003 s
% 0.23/5.58 % Total time : 0.050 s
% 0.23/5.58 % Maximum resident set size: 3652 pages
% 0.23/5.58
% 0.23/5.58 % -------------------------------------------------
% 0.23/5.58 % User time : 0.050 s
% 0.23/5.58 % System time : 0.010 s
% 0.23/5.58 % Total time : 0.060 s
% 0.23/5.58 % Maximum resident set size: 4864 pages
% 0.23/5.58 % E exiting
%------------------------------------------------------------------------------