%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 01:59:17 PM UTC 2026
% Result : Theorem 24.67s 3.75s
% Output : CNFRefutation 24.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 84 ( 24 unt; 0 def)
% Number of atoms : 250 ( 19 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 271 ( 105 ~; 102 |; 54 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 149 ( 130 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X99,X100] :
( root_occ(X99,X100)
<=> ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X105,X106,X107,X108] :
( ( root_occ(X106,X107)
& root_occ(X105,X107)
& occurrence_of(X107,X108) )
=> X105 = X106 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163,X164] :
( ! [X165] :
( min_precedes(X162,X165,tptp0)
=> ( X165 = X164
| X165 = X163 ) )
& min_precedes(X163,X164,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& min_precedes(X162,X163,tptp0)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& occurrence_of(X162,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp1)
| occurrence_of(X168,tptp2) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ ! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp1)
| occurrence_of(X168,tptp2) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f72,plain,
! [X4,X5,X6] :
( X5 = X6
| ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
! [X5,X6] :
( X5 = X6
| ! [X4] :
( ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f110,plain,
! [X31,X32,X33] :
( ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) )
| ~ min_precedes(X31,X32,X33) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f111,plain,
! [X32,X33] :
( ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) )
| ! [X31] : ~ min_precedes(X31,X32,X33) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f112,plain,
! [X32,X33] :
( ( min_precedes(sK4_skl(X33,X32),X32,X33)
& root(sK4_skl(X33,X32),X33) )
| ! [X31] : ~ min_precedes(X31,X32,X33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X34,sK4_skl(X33,X32))],[f111]) ).
fof(f113,plain,
! [X0,X1,X2] :
( root(sK4_skl(X2,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0,X1,X2] :
( min_precedes(sK4_skl(X2,X1),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f161,plain,
! [X69,X70,X71] :
( ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) )
| ~ min_precedes(X70,X71,X69) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f162,plain,
! [X69,X70,X71] :
( ( subactivity_occurrence(X71,sK9_skl(X71,X70,X69))
& subactivity_occurrence(X70,sK9_skl(X71,X70,X69))
& occurrence_of(sK9_skl(X71,X70,X69),X69) )
| ~ min_precedes(X70,X71,X69) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(X72,sK9_skl(X71,X70,X69))],[f161]) ).
fof(f163,plain,
! [X0,X1,X2] :
( occurrence_of(sK9_skl(X1,X0,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X0,sK9_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f165,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X1,sK9_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f177,plain,
! [X83,X84,X85,X86] :
( subactivity_occurrence(X83,X86)
| ~ subactivity_occurrence(X84,X86)
| ~ occurrence_of(X86,X85)
| ~ min_precedes(X83,X84,X85) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f178,plain,
! [X83,X86] :
( subactivity_occurrence(X83,X86)
| ! [X84] :
( ~ subactivity_occurrence(X84,X86)
| ! [X85] :
( ~ occurrence_of(X86,X85)
| ~ min_precedes(X83,X84,X85) ) ) ),
inference(miniscoping,[status(thm)],[f177]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f191,plain,
! [X99,X100] :
( ( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ( ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) )
| ~ root_occ(X99,X100) ) ),
inference(NNF_transformation,[status(thm)],[f34]) ).
fof(f192,plain,
( ! [X99,X100] :
( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ! [X99,X100] :
( ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) )
| ~ root_occ(X99,X100) ) ),
inference(miniscoping,[status(thm)],[f191]) ).
fof(f193,plain,
( ! [X99,X100] :
( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ! [X99,X100] :
( ( root(X99,sK13_skl(X100,X99))
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,sK13_skl(X100,X99)) )
| ~ root_occ(X99,X100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(X101,sK13_skl(X100,X99))],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( occurrence_of(X1,sK13_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
! [X0,X1] :
( root(X0,sK13_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f205,plain,
! [X105,X106,X107,X108] :
( X105 = X106
| ~ root_occ(X106,X107)
| ~ root_occ(X105,X107)
| ~ occurrence_of(X107,X108) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f206,plain,
! [X105,X106] :
( X105 = X106
| ! [X107] :
( ~ root_occ(X106,X107)
| ~ root_occ(X105,X107)
| ! [X108] : ~ occurrence_of(X107,X108) ) ),
inference(miniscoping,[status(thm)],[f205]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ root_occ(X3,X0)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f249,plain,
! [X161] :
( ? [X162,X163,X164] :
( ! [X165] :
( X165 = X164
| X165 = X163
| ~ min_precedes(X162,X165,tptp0) )
& min_precedes(X163,X164,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& min_precedes(X162,X163,tptp0)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& occurrence_of(X162,tptp3) )
| ~ occurrence_of(X161,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f250,plain,
! [X161] :
( ( ! [X165] :
( X165 = sK18_skl(X161)
| X165 = sK17_skl(X161)
| ~ min_precedes(sK16_skl(X161),X165,tptp0) )
& min_precedes(sK17_skl(X161),sK18_skl(X161),tptp0)
& ( occurrence_of(sK18_skl(X161),tptp1)
| occurrence_of(sK18_skl(X161),tptp2) )
& min_precedes(sK16_skl(X161),sK17_skl(X161),tptp0)
& occurrence_of(sK17_skl(X161),tptp4)
& root_occ(sK16_skl(X161),X161)
& occurrence_of(sK16_skl(X161),tptp3) )
| ~ occurrence_of(X161,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl,sK18_skl]),skolemize(X162,sK16_skl(X161)),skolemize(X163,sK17_skl(X161)),skolemize(X164,sK18_skl(X161))],[f249]) ).
fof(f251,plain,
! [X0] :
( occurrence_of(sK16_skl(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f252,plain,
! [X0] :
( root_occ(sK16_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f254,plain,
! [X0] :
( min_precedes(sK16_skl(X0),sK17_skl(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f255,plain,
! [X0] :
( occurrence_of(sK18_skl(X0),tptp1)
| occurrence_of(sK18_skl(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f256,plain,
! [X0] :
( min_precedes(sK17_skl(X0),sK18_skl(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f270,plain,
? [X166] :
( ! [X167,X168] :
( ~ min_precedes(X167,X168,tptp0)
| ( ~ occurrence_of(X168,tptp1)
& ~ occurrence_of(X168,tptp2) )
| ~ root_occ(X167,X166)
| ~ occurrence_of(X167,tptp3) )
& occurrence_of(X166,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f271,plain,
( ! [X167,X168] :
( ~ min_precedes(X167,X168,tptp0)
| ( ~ occurrence_of(X168,tptp1)
& ~ occurrence_of(X168,tptp2) )
| ~ root_occ(X167,sK19_skl)
| ~ occurrence_of(X167,tptp3) )
& occurrence_of(sK19_skl,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(X166,sK19_skl)],[f270]) ).
fof(f272,plain,
occurrence_of(sK19_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp2)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f274,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp1)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f275,plain,
! [X0] :
( tptp0 = X0
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f74,f272]) ).
fof(f300,plain,
root_occ(sK16_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f252,f272]) ).
fof(f302,plain,
root(sK16_skl(sK19_skl),sK13_skl(sK19_skl,sK16_skl(sK19_skl))),
inference(resolution,[status(thm)],[f300,f196]) ).
fof(f303,plain,
occurrence_of(sK19_skl,sK13_skl(sK19_skl,sK16_skl(sK19_skl))),
inference(resolution,[status(thm)],[f300,f194]) ).
fof(f312,plain,
occurrence_of(sK16_skl(sK19_skl),tptp3),
inference(resolution,[status(thm)],[f251,f272]) ).
fof(f323,plain,
tptp0 = sK13_skl(sK19_skl,sK16_skl(sK19_skl)),
inference(resolution,[status(thm)],[f303,f275]) ).
fof(f333,plain,
root(sK16_skl(sK19_skl),tptp0),
inference(forward_demodulation,[status(thm)],[f323,f302]) ).
fof(f718,plain,
min_precedes(sK16_skl(sK19_skl),sK17_skl(sK19_skl),tptp0),
inference(resolution,[status(thm)],[f254,f272]) ).
fof(f781,plain,
! [X0] :
( subactivity_occurrence(sK16_skl(sK19_skl),X0)
| ~ subactivity_occurrence(sK17_skl(sK19_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f179,f718]) ).
fof(f930,plain,
min_precedes(sK17_skl(sK19_skl),sK18_skl(sK19_skl),tptp0),
inference(resolution,[status(thm)],[f256,f272]) ).
fof(f941,plain,
subactivity_occurrence(sK18_skl(sK19_skl),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)),
inference(resolution,[status(thm)],[f930,f165]) ).
fof(f942,plain,
subactivity_occurrence(sK17_skl(sK19_skl),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)),
inference(resolution,[status(thm)],[f930,f164]) ).
fof(f943,plain,
occurrence_of(sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0),tptp0),
inference(resolution,[status(thm)],[f930,f163]) ).
fof(f944,plain,
min_precedes(sK4_skl(tptp0,sK18_skl(sK19_skl)),sK18_skl(sK19_skl),tptp0),
inference(resolution,[status(thm)],[f930,f114]) ).
fof(f947,plain,
root(sK4_skl(tptp0,sK18_skl(sK19_skl)),tptp0),
inference(resolution,[status(thm)],[f930,f113]) ).
fof(f1203,plain,
! [X0] :
( ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0))
| root_occ(X0,sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)) ),
inference(resolution,[status(thm)],[f943,f197]) ).
fof(f1217,plain,
! [X0,X1] :
( X0 = X1
| ~ root_occ(X1,sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0))
| ~ root_occ(X0,sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)) ),
inference(resolution,[status(thm)],[f943,f207]) ).
fof(f1255,plain,
! [X0] :
( subactivity_occurrence(sK4_skl(tptp0,sK18_skl(sK19_skl)),X0)
| ~ subactivity_occurrence(sK18_skl(sK19_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f944,f179]) ).
fof(f1589,plain,
( occurrence_of(sK18_skl(sK19_skl),tptp1)
| occurrence_of(sK18_skl(sK19_skl),tptp2) ),
inference(resolution,[status(thm)],[f255,f272]) ).
fof(f1739,plain,
( subactivity_occurrence(sK16_skl(sK19_skl),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0))
| ~ occurrence_of(sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f781,f942]) ).
fof(f1741,plain,
subactivity_occurrence(sK16_skl(sK19_skl),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f1739,f943]) ).
fof(f4809,plain,
( subactivity_occurrence(sK4_skl(tptp0,sK18_skl(sK19_skl)),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0))
| ~ occurrence_of(sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f1255,f941]) ).
fof(f4811,plain,
subactivity_occurrence(sK4_skl(tptp0,sK18_skl(sK19_skl)),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f4809,f943]) ).
fof(f8147,plain,
( ~ root(sK4_skl(tptp0,sK18_skl(sK19_skl)),tptp0)
| root_occ(sK4_skl(tptp0,sK18_skl(sK19_skl)),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)) ),
inference(resolution,[status(thm)],[f1203,f4811]) ).
fof(f8150,plain,
( ~ root(sK16_skl(sK19_skl),tptp0)
| root_occ(sK16_skl(sK19_skl),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)) ),
inference(resolution,[status(thm)],[f1203,f1741]) ).
fof(f8151,plain,
root_occ(sK4_skl(tptp0,sK18_skl(sK19_skl)),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f8147,f947]) ).
fof(f8152,plain,
root_occ(sK16_skl(sK19_skl),sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f8150,f333]) ).
fof(f8450,plain,
! [X0] :
( sK16_skl(sK19_skl) = X0
| ~ root_occ(X0,sK9_skl(sK18_skl(sK19_skl),sK17_skl(sK19_skl),tptp0)) ),
inference(resolution,[status(thm)],[f1217,f8152]) ).
fof(f8558,plain,
sK16_skl(sK19_skl) = sK4_skl(tptp0,sK18_skl(sK19_skl)),
inference(resolution,[status(thm)],[f8450,f8151]) ).
fof(f8679,plain,
min_precedes(sK16_skl(sK19_skl),sK18_skl(sK19_skl),tptp0),
inference(backward_demodulation,[status(thm)],[f8558,f944]) ).
fof(f8744,plain,
( ~ occurrence_of(sK18_skl(sK19_skl),tptp1)
| ~ root_occ(sK16_skl(sK19_skl),sK19_skl)
| ~ occurrence_of(sK16_skl(sK19_skl),tptp3) ),
inference(resolution,[status(thm)],[f8679,f274]) ).
fof(f8745,plain,
( ~ occurrence_of(sK18_skl(sK19_skl),tptp2)
| ~ root_occ(sK16_skl(sK19_skl),sK19_skl)
| ~ occurrence_of(sK16_skl(sK19_skl),tptp3) ),
inference(resolution,[status(thm)],[f8679,f273]) ).
fof(f8767,plain,
( ~ occurrence_of(sK18_skl(sK19_skl),tptp1)
| ~ root_occ(sK16_skl(sK19_skl),sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f8744,f312]) ).
fof(f8768,plain,
( ~ occurrence_of(sK18_skl(sK19_skl),tptp2)
| ~ root_occ(sK16_skl(sK19_skl),sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f8745,f312]) ).
fof(f8854,plain,
occurrence_of(sK18_skl(sK19_skl),tptp2),
inference(backward_subsumption_resolution,[status(thm)],[f1589,f8857]) ).
fof(f8857,plain,
~ occurrence_of(sK18_skl(sK19_skl),tptp1),
inference(forward_subsumption_resolution,[status(thm)],[f8767,f300]) ).
fof(f9165,plain,
~ occurrence_of(sK18_skl(sK19_skl),tptp2),
inference(forward_subsumption_resolution,[status(thm)],[f8768,f300]) ).
fof(f9166,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8854,f9165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 03:44:28 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 24.67/3.75 % Refutation found
% 24.67/3.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.67/3.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 24.67/3.81 % Elapsed time: 3.359460 seconds
% 24.67/3.81 % CPU time: 25.952820 seconds
% 24.67/3.81 % Total memory used: 230.411 MB
% 24.67/3.81 % Net memory used: 220.694 MB
%------------------------------------------------------------------------------