%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MED003+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:47:00 PM UTC 2026
% Result : Theorem 2.27s 1.91s
% Output : CNFRefutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 7 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 330 ( 106 ~; 173 |; 27 &)
% ( 0 <=>; 24 =>; 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 : 68 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(insulin_effect,axiom,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> drugi(X5) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( uptakelg(X5)
& uptakepg(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',insulin_effect) ).
fof(treatmentex,conjecture,
( ( ! [X4] :
( ~ gt(n0,X4)
=> drugi(X4) )
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& bcapacityex(n0) )
=> ! [X4] :
( ~ gt(n0,X4)
=> ( conditionnormo(X4)
| conditionhypo(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentex) ).
fof(ex_cure,axiom,
! [X4] :
( ( ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
& bcapacityex(X4)
& ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( conditionnormo(X5)
| conditionhypo(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',ex_cure) ).
fof(c_0_3,plain,
! [X4] :
( ! [X5] :
( ~ gt(X4,X5)
=> drugi(X5) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( uptakelg(X5)
& uptakepg(X5) ) ) ),
inference(fof_simplification,[status(thm)],[insulin_effect]) ).
fof(c_0_4,negated_conjecture,
~ ( ( ! [X4] :
( ~ gt(n0,X4)
=> drugi(X4) )
& ! [X4] :
( gt(n0,X4)
=> conditionhyper(X4) )
& bcapacityex(n0) )
=> ! [X4] :
( ~ gt(n0,X4)
=> ( conditionnormo(X4)
| conditionhypo(X4) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[treatmentex])]) ).
fof(c_0_5,plain,
! [X4] :
( ( ! [X5] :
( ~ gt(X4,X5)
=> uptakelg(X5) )
& ! [X5] :
( ~ gt(X4,X5)
=> uptakepg(X5) )
& bcapacityex(X4)
& ! [X5] :
( gt(X4,X5)
=> conditionhyper(X5) ) )
=> ! [X5] :
( ~ gt(X4,X5)
=> ( conditionnormo(X5)
| conditionhypo(X5) ) ) ),
inference(fof_simplification,[status(thm)],[ex_cure]) ).
fof(c_0_6,plain,
! [X63,X65] :
( ( uptakelg(X65)
| gt(X63,X65)
| ~ gt(X63,esk1_1(X63)) )
& ( uptakepg(X65)
| gt(X63,X65)
| ~ gt(X63,esk1_1(X63)) )
& ( uptakelg(X65)
| gt(X63,X65)
| ~ drugi(esk1_1(X63)) )
& ( uptakepg(X65)
| gt(X63,X65)
| ~ drugi(esk1_1(X63)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_7,negated_conjecture,
! [X93,X94] :
( ( gt(n0,X93)
| drugi(X93) )
& ( ~ gt(n0,X94)
| conditionhyper(X94) )
& bcapacityex(n0)
& ~ gt(n0,esk15_0)
& ~ conditionnormo(esk15_0)
& ~ conditionhypo(esk15_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_8,plain,
! [X88,X92] :
( ( gt(X88,esk14_1(X88))
| ~ gt(X88,esk13_1(X88))
| ~ gt(X88,esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) )
& ( ~ conditionhyper(esk14_1(X88))
| ~ gt(X88,esk13_1(X88))
| ~ gt(X88,esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) )
& ( gt(X88,esk14_1(X88))
| ~ uptakepg(esk13_1(X88))
| ~ gt(X88,esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) )
& ( ~ conditionhyper(esk14_1(X88))
| ~ uptakepg(esk13_1(X88))
| ~ gt(X88,esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) )
& ( gt(X88,esk14_1(X88))
| ~ gt(X88,esk13_1(X88))
| ~ uptakelg(esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) )
& ( ~ conditionhyper(esk14_1(X88))
| ~ gt(X88,esk13_1(X88))
| ~ uptakelg(esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) )
& ( gt(X88,esk14_1(X88))
| ~ uptakepg(esk13_1(X88))
| ~ uptakelg(esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) )
& ( ~ conditionhyper(esk14_1(X88))
| ~ uptakepg(esk13_1(X88))
| ~ uptakelg(esk12_1(X88))
| ~ bcapacityex(X88)
| gt(X88,X92)
| conditionnormo(X92)
| conditionhypo(X92) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_9,plain,
( uptakepg(X1)
| gt(X2,X1)
| ~ gt(X2,esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( gt(n0,X1)
| drugi(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( uptakepg(X1)
| gt(X2,X1)
| ~ drugi(esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
~ gt(n0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ conditionhyper(esk14_1(X1))
| ~ uptakepg(esk13_1(X1))
| ~ uptakelg(esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
bcapacityex(n0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ conditionnormo(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ conditionhypo(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ conditionhyper(esk14_1(X1))
| ~ gt(X1,esk13_1(X1))
| ~ uptakelg(esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
( uptakepg(X1)
| gt(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( ~ uptakepg(esk13_1(n0))
| ~ uptakelg(esk12_1(n0))
| ~ conditionhyper(esk14_1(n0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
( uptakelg(X1)
| gt(X2,X1)
| ~ gt(X2,esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( uptakelg(X1)
| gt(X2,X1)
| ~ drugi(esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,X1)
| ~ uptakelg(esk12_1(n0))
| ~ conditionhyper(esk14_1(n0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14])]),c_0_19]) ).
cnf(c_0_23,plain,
( gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ conditionhyper(esk14_1(X1))
| ~ uptakepg(esk13_1(X1))
| ~ gt(X1,esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( uptakelg(X1)
| gt(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_10]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( ~ uptakelg(esk12_1(n0))
| ~ conditionhyper(esk14_1(n0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_22]),c_0_15]),c_0_16]) ).
cnf(c_0_26,plain,
( gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ conditionhyper(esk14_1(X1))
| ~ gt(X1,esk13_1(X1))
| ~ gt(X1,esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,X1)
| ~ uptakepg(esk13_1(n0))
| ~ conditionhyper(esk14_1(n0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14])]),c_0_25]) ).
cnf(c_0_28,plain,
( gt(X1,esk14_1(X1))
| gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ gt(X1,esk13_1(X1))
| ~ gt(X1,esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
( gt(X1,esk14_1(X1))
| gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ gt(X1,esk13_1(X1))
| ~ uptakelg(esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
( uptakepg(esk13_1(n0))
| conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,X1)
| ~ conditionhyper(esk14_1(n0))
| ~ gt(n0,esk12_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_14])]) ).
cnf(c_0_31,negated_conjecture,
( ~ uptakepg(esk13_1(n0))
| ~ conditionhyper(esk14_1(n0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_27]),c_0_15]),c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( uptakepg(esk13_1(n0))
| conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,esk14_1(n0))
| gt(n0,X1)
| ~ gt(n0,esk12_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_14])]) ).
cnf(c_0_33,negated_conjecture,
( uptakepg(esk13_1(n0))
| conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,esk14_1(n0))
| gt(n0,X1)
| ~ uptakelg(esk12_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_14])]) ).
cnf(c_0_34,negated_conjecture,
( conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,X1)
| ~ conditionhyper(esk14_1(n0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_25]),c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( conditionhyper(X1)
| ~ gt(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,negated_conjecture,
( uptakepg(esk13_1(n0))
| conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,esk14_1(n0))
| gt(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
~ conditionhyper(esk14_1(n0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_34]),c_0_15]),c_0_16]) ).
cnf(c_0_38,negated_conjecture,
( uptakepg(esk13_1(n0))
| conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_39,plain,
( gt(X1,esk14_1(X1))
| gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ uptakepg(esk13_1(X1))
| ~ gt(X1,esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,plain,
( gt(X1,esk14_1(X1))
| gt(X1,X2)
| conditionnormo(X2)
| conditionhypo(X2)
| ~ uptakepg(esk13_1(X1))
| ~ uptakelg(esk12_1(X1))
| ~ bcapacityex(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
uptakepg(esk13_1(n0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_38]),c_0_15]),c_0_16]) ).
cnf(c_0_42,negated_conjecture,
( uptakelg(esk12_1(n0))
| conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,esk14_1(n0))
| gt(n0,X1)
| ~ uptakepg(esk13_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_24]),c_0_14])]) ).
cnf(c_0_43,negated_conjecture,
( conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,esk14_1(n0))
| gt(n0,X1)
| ~ uptakelg(esk12_1(n0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_14])]) ).
cnf(c_0_44,negated_conjecture,
( conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,esk14_1(n0))
| gt(n0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_41])]),c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( conditionnormo(X1)
| conditionhypo(X1)
| gt(n0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_37]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_45]),c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MED003+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:25:25 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.27/1.91 % Version : CSE_E---1.7
% 2.27/1.91 % Problem : theBenchmark.p
% 2.27/1.91 % SZS status Theorem for theBenchmark.p
% 2.27/1.91 % SZS output start CNFRefutation
% See solution above
% 2.27/1.92 % Total time : 1.372s
%------------------------------------------------------------------------------