%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MED001+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 01:24:56 PM UTC 2026
% Result : Theorem 0.14s 0.59s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 8 unt; 11 def)
% Number of atoms : 267 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 294 ( 105 ~; 124 |; 39 &)
% ( 11 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 11 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 66 ( 58 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( ~ bcapacitysn(X0)
| ~ bcapacityex(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] :
( ( ~ bcapacityex(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> drugsu(X1) ) )
=> ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0] :
( ( ! [X1] :
( gt(X0,X1)
=> conditionhyper(X1) )
& qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( ~ gt(X0,X1)
=> bsecretioni(X1) ) )
=> ! [X1] :
( ~ gt(X0,X1)
=> conditionnormo(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
( ( qilt27(n0)
& bcapacitysn(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ! [X0] :
( ~ gt(n0,X0)
=> drugsu(X0) ) )
=> ! [X0] :
( ~ gt(n0,X0)
=> conditionnormo(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ( ( qilt27(n0)
& bcapacitysn(n0)
& ! [X0] :
( gt(n0,X0)
=> conditionhyper(X0) )
& ! [X0] :
( ~ gt(n0,X0)
=> drugsu(X0) ) )
=> ! [X0] :
( ~ gt(n0,X0)
=> conditionnormo(X0) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f28,plain,
! [X0] :
( ~ bcapacitysn(X0)
| ~ bcapacityex(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( bsecretioni(X1)
| gt(X0,X1) )
| bcapacityex(X0)
| ? [X1] :
( ~ drugsu(X1)
& ~ gt(X0,X1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( bsecretioni(X1)
| gt(X0,X1) )
| bcapacityex(X0)
| ( ~ drugsu(sK1_skl(X0))
& ~ gt(X0,sK1_skl(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X1,sK1_skl(X0))],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( bsecretioni(X1)
| gt(X0,X1)
| bcapacityex(X0)
| ~ gt(X0,sK1_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( bsecretioni(X1)
| gt(X0,X1)
| bcapacityex(X0)
| ~ drugsu(sK1_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
| ~ qilt27(X0)
| ~ bcapacitysn(X0)
| ? [X1] :
( ~ bsecretioni(X1)
& ~ gt(X0,X1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f51,definition,
! [X0] :
( sP1_prd(X0)
<=> ( ~ qilt27(X0)
| ~ bcapacitysn(X0)
| ? [X1] :
( ~ bsecretioni(X1)
& ~ gt(X0,X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ? [X1] :
( ~ conditionhyper(X1)
& gt(X0,X1) )
| sP1_prd(X0) ),
inference(formula_renaming,[status(thm)],[f50,f51]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( conditionnormo(X1)
| gt(X0,X1) )
| ( ~ conditionhyper(sK3_skl(X0))
& gt(X0,sK3_skl(X0)) )
| sP1_prd(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X1,sK3_skl(X0))],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( conditionnormo(X1)
| gt(X0,X1)
| gt(X0,sK3_skl(X0))
| sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( conditionnormo(X1)
| gt(X0,X1)
| ~ conditionhyper(sK3_skl(X0))
| sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f74,plain,
( ? [X0] :
( ~ conditionnormo(X0)
& ~ gt(n0,X0) )
& qilt27(n0)
& bcapacitysn(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& ! [X0] :
( drugsu(X0)
| gt(n0,X0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f75,plain,
( ~ conditionnormo(sK7_skl)
& ~ gt(n0,sK7_skl)
& qilt27(n0)
& bcapacitysn(n0)
& ! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) )
& ! [X0] :
( drugsu(X0)
| gt(n0,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X0,sK7_skl)],[f74]) ).
fof(f76,plain,
! [X0] :
( drugsu(X0)
| gt(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0] :
( conditionhyper(X0)
| ~ gt(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
bcapacitysn(n0),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,plain,
qilt27(n0),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f80,plain,
~ gt(n0,sK7_skl),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f81,plain,
~ conditionnormo(sK7_skl),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f87,plain,
! [X0] :
( ( ( qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( bsecretioni(X1)
| gt(X0,X1) ) )
| sP1_prd(X0) )
& ( ~ qilt27(X0)
| ~ bcapacitysn(X0)
| ? [X1] :
( ~ bsecretioni(X1)
& ~ gt(X0,X1) )
| ~ sP1_prd(X0) ) ),
inference(NNF_transformation,[status(thm)],[f51]) ).
fof(f88,plain,
( ! [X0] :
( ( qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( bsecretioni(X1)
| gt(X0,X1) ) )
| sP1_prd(X0) )
& ! [X0] :
( ~ qilt27(X0)
| ~ bcapacitysn(X0)
| ? [X1] :
( ~ bsecretioni(X1)
& ~ gt(X0,X1) )
| ~ sP1_prd(X0) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f89,plain,
( ! [X0] :
( ( qilt27(X0)
& bcapacitysn(X0)
& ! [X1] :
( bsecretioni(X1)
| gt(X0,X1) ) )
| sP1_prd(X0) )
& ! [X0] :
( ~ qilt27(X0)
| ~ bcapacitysn(X0)
| ( ~ bsecretioni(sK8_skl(X0))
& ~ gt(X0,sK8_skl(X0)) )
| ~ sP1_prd(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(X1,sK8_skl(X0))],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ qilt27(X0)
| ~ bcapacitysn(X0)
| ~ gt(X0,sK8_skl(X0))
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ qilt27(X0)
| ~ bcapacitysn(X0)
| ~ bsecretioni(sK8_skl(X0))
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f132,plain,
( ~ bcapacitysn(n0)
| ~ bsecretioni(sK8_skl(n0))
| ~ sP1_prd(n0) ),
inference(resolution,[status(thm)],[f91,f79]) ).
fof(f133,definition,
( sQ0_spl
<=> sP1_prd(n0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( sQ0_spl
| ~ sP1_prd(n0) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ1_spl
<=> bsecretioni(sK8_skl(n0)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( sQ1_spl
| ~ bsecretioni(sK8_skl(n0)) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ2_spl
<=> bcapacitysn(n0) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( sQ2_spl
| ~ bcapacitysn(n0) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f132,f133,f136,f139]) ).
fof(f143,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f78]) ).
fof(f144,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0] :
( sQ0_spl
| conditionnormo(X0)
| gt(n0,X0)
| ~ conditionhyper(sK3_skl(n0)) ),
inference(resolution,[status(thm)],[f135,f55]) ).
fof(f146,plain,
! [X0] :
( sQ0_spl
| conditionnormo(X0)
| gt(n0,X0)
| gt(n0,sK3_skl(n0)) ),
inference(resolution,[status(thm)],[f135,f54]) ).
fof(f150,definition,
( sQ3_spl
<=> conditionhyper(sK3_skl(n0)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( sQ3_spl
| ~ conditionhyper(sK3_skl(n0)) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
! [X0] :
( sQ4_spl
<=> ( conditionnormo(X0)
| gt(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f154,plain,
! [X0] :
( ~ sQ4_spl
| conditionnormo(X0)
| gt(n0,X0) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ0_spl
| sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f145,f150,f153,f133]) ).
fof(f157,definition,
( sQ5_spl
<=> gt(n0,sK3_skl(n0)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ5_spl
| gt(n0,sK3_skl(n0)) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ0_spl
| sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f146,f157,f153,f133]) ).
fof(f161,plain,
( ~ sQ4_spl
| gt(n0,sK7_skl) ),
inference(resolution,[status(thm)],[f154,f81]) ).
fof(f162,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f161,f80]) ).
fof(f163,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f162]) ).
fof(f174,plain,
( ~ sQ5_spl
| conditionhyper(sK3_skl(n0)) ),
inference(resolution,[status(thm)],[f158,f77]) ).
fof(f176,plain,
( ~ sQ5_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f152]) ).
fof(f177,plain,
( ~ sQ5_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f178,plain,
! [X0] :
( sQ1_spl
| gt(X0,sK8_skl(n0))
| bcapacityex(X0)
| ~ gt(X0,sK1_skl(X0)) ),
inference(resolution,[status(thm)],[f138,f44]) ).
fof(f179,plain,
! [X0] :
( sQ1_spl
| gt(X0,sK8_skl(n0))
| bcapacityex(X0)
| ~ drugsu(sK1_skl(X0)) ),
inference(resolution,[status(thm)],[f138,f45]) ).
fof(f181,plain,
! [X0] :
( sQ1_spl
| gt(n0,sK1_skl(X0))
| gt(X0,sK8_skl(n0))
| bcapacityex(X0) ),
inference(resolution,[status(thm)],[f179,f76]) ).
fof(f182,plain,
! [X0] :
( sQ1_spl
| ~ bcapacitysn(X0)
| gt(n0,sK1_skl(X0))
| gt(X0,sK8_skl(n0)) ),
inference(resolution,[status(thm)],[f181,f28]) ).
fof(f184,plain,
( sQ1_spl
| gt(n0,sK1_skl(n0))
| gt(n0,sK8_skl(n0)) ),
inference(resolution,[status(thm)],[f182,f78]) ).
fof(f186,definition,
( sQ8_spl
<=> gt(n0,sK8_skl(n0)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ8_spl
| gt(n0,sK8_skl(n0)) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ9_spl
<=> gt(n0,sK1_skl(n0)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ9_spl
| gt(n0,sK1_skl(n0)) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( sQ1_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f184,f186,f189,f136]) ).
fof(f194,plain,
( ~ sQ8_spl
| ~ qilt27(n0)
| ~ bcapacitysn(n0)
| ~ sP1_prd(n0) ),
inference(resolution,[status(thm)],[f187,f90]) ).
fof(f196,definition,
( sQ10_spl
<=> qilt27(n0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ10_spl
| ~ qilt27(n0) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f194,f133,f139,f196,f186]) ).
fof(f200,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f79]) ).
fof(f201,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ1_spl
| ~ sQ9_spl
| gt(n0,sK8_skl(n0))
| bcapacityex(n0) ),
inference(resolution,[status(thm)],[f190,f178]) ).
fof(f205,definition,
( sQ11_spl
<=> bcapacityex(n0) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ11_spl
| bcapacityex(n0) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ1_spl
| ~ sQ9_spl
| sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f203,f205,f186,f189,f136]) ).
fof(f209,plain,
( ~ sQ11_spl
| ~ bcapacitysn(n0) ),
inference(resolution,[status(thm)],[f206,f28]) ).
fof(f210,plain,
( ~ sQ11_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f209,f139,f205]) ).
fof(f211,plain,
$false,
inference(sat_refutation,[status(thm)],[f142,f144,f156,f160,f163,f177,f192,f199,f201,f208,f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MED001+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55 % Computer : n003.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Mon Sep 21 01:21:31 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.61 % Elapsed time: 0.057301 seconds
% 0.14/0.61 % CPU time: 0.179967 seconds
% 0.14/0.61 % Total memory used: 19.491 MB
% 0.14/0.61 % Net memory used: 19.350 MB
%------------------------------------------------------------------------------