%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO012+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:59:18 PM UTC 2026
% Result : Theorem 0.15s 6.01s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 87 ( 23 unt; 0 def)
% Number of atoms : 261 ( 19 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 291 ( 117 ~; 110 |; 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(f7,axiom,
! [X21,X22,X23] :
( min_precedes(X22,X23,X21)
=> ? [X24] :
( subactivity_occurrence(X23,X24)
& subactivity_occurrence(X22,X24)
& occurrence_of(X24,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X28,X29,X30] :
( ( occurrence_of(X28,X30)
& occurrence_of(X28,X29) )
=> X29 = X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X58,X59] :
( root_occ(X58,X59)
<=> ? [X60] :
( root(X58,X60)
& subactivity_occurrence(X58,X59)
& occurrence_of(X59,X60) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X68,X69,X70] :
( min_precedes(X68,X69,X70)
=> ? [X71] :
( min_precedes(X71,X69,X70)
& root(X71,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X82,X83,X84,X85] :
( ( subactivity_occurrence(X83,X85)
& occurrence_of(X85,X84)
& min_precedes(X82,X83,X84) )
=> subactivity_occurrence(X82,X85) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X90,X91,X92,X93] :
( ( root_occ(X91,X92)
& root_occ(X90,X92)
& occurrence_of(X92,X93) )
=> X90 = X91 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103,X104] :
( ! [X105] :
( min_precedes(X102,X105,tptp0)
=> ( X105 = X104
| X105 = X103 ) )
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& min_precedes(X102,X103,tptp0)
& occurrence_of(X103,tptp4)
& root_occ(X102,X101)
& occurrence_of(X102,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,conjecture,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ ! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f68,plain,
! [X21,X22,X23] :
( ? [X24] :
( subactivity_occurrence(X23,X24)
& subactivity_occurrence(X22,X24)
& occurrence_of(X24,X21) )
| ~ min_precedes(X22,X23,X21) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f69,plain,
! [X21,X22,X23] :
( ( subactivity_occurrence(X23,sK2_skl(X23,X22,X21))
& subactivity_occurrence(X22,sK2_skl(X23,X22,X21))
& occurrence_of(sK2_skl(X23,X22,X21),X21) )
| ~ min_precedes(X22,X23,X21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X24,sK2_skl(X23,X22,X21))],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( occurrence_of(sK2_skl(X1,X0,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X0,sK2_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f72,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X1,sK2_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f77,plain,
! [X28,X29,X30] :
( X29 = X30
| ~ occurrence_of(X28,X30)
| ~ occurrence_of(X28,X29) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
! [X29,X30] :
( X29 = X30
| ! [X28] :
( ~ occurrence_of(X28,X30)
| ~ occurrence_of(X28,X29) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f124,plain,
! [X58,X59] :
( ( ! [X60] :
( ~ root(X58,X60)
| ~ subactivity_occurrence(X58,X59)
| ~ occurrence_of(X59,X60) )
| root_occ(X58,X59) )
& ( ? [X60] :
( root(X58,X60)
& subactivity_occurrence(X58,X59)
& occurrence_of(X59,X60) )
| ~ root_occ(X58,X59) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f125,plain,
( ! [X58,X59] :
( ! [X60] :
( ~ root(X58,X60)
| ~ subactivity_occurrence(X58,X59)
| ~ occurrence_of(X59,X60) )
| root_occ(X58,X59) )
& ! [X58,X59] :
( ? [X60] :
( root(X58,X60)
& subactivity_occurrence(X58,X59)
& occurrence_of(X59,X60) )
| ~ root_occ(X58,X59) ) ),
inference(miniscoping,[status(thm)],[f124]) ).
fof(f126,plain,
( ! [X58,X59] :
( ! [X60] :
( ~ root(X58,X60)
| ~ subactivity_occurrence(X58,X59)
| ~ occurrence_of(X59,X60) )
| root_occ(X58,X59) )
& ! [X58,X59] :
( ( root(X58,sK9_skl(X59,X58))
& subactivity_occurrence(X58,X59)
& occurrence_of(X59,sK9_skl(X59,X58)) )
| ~ root_occ(X58,X59) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(X60,sK9_skl(X59,X58))],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( occurrence_of(X1,sK9_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f129,plain,
! [X0,X1] :
( root(X0,sK9_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f141,plain,
! [X68,X69,X70] :
( ? [X71] :
( min_precedes(X71,X69,X70)
& root(X71,X70) )
| ~ min_precedes(X68,X69,X70) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f142,plain,
! [X69,X70] :
( ? [X71] :
( min_precedes(X71,X69,X70)
& root(X71,X70) )
| ! [X68] : ~ min_precedes(X68,X69,X70) ),
inference(miniscoping,[status(thm)],[f141]) ).
fof(f143,plain,
! [X69,X70] :
( ( min_precedes(sK10_skl(X70,X69),X69,X70)
& root(sK10_skl(X70,X69),X70) )
| ! [X68] : ~ min_precedes(X68,X69,X70) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(X71,sK10_skl(X70,X69))],[f142]) ).
fof(f144,plain,
! [X0,X1,X2] :
( root(sK10_skl(X2,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( min_precedes(sK10_skl(X2,X1),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f161,plain,
! [X82,X83,X84,X85] :
( subactivity_occurrence(X82,X85)
| ~ subactivity_occurrence(X83,X85)
| ~ occurrence_of(X85,X84)
| ~ min_precedes(X82,X83,X84) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f162,plain,
! [X82,X85] :
( subactivity_occurrence(X82,X85)
| ! [X83] :
( ~ subactivity_occurrence(X83,X85)
| ! [X84] :
( ~ occurrence_of(X85,X84)
| ~ min_precedes(X82,X83,X84) ) ) ),
inference(miniscoping,[status(thm)],[f161]) ).
fof(f163,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)],[f162]) ).
fof(f167,plain,
! [X90,X91,X92,X93] :
( X90 = X91
| ~ root_occ(X91,X92)
| ~ root_occ(X90,X92)
| ~ occurrence_of(X92,X93) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f168,plain,
! [X90,X91] :
( X90 = X91
| ! [X92] :
( ~ root_occ(X91,X92)
| ~ root_occ(X90,X92)
| ! [X93] : ~ occurrence_of(X92,X93) ) ),
inference(miniscoping,[status(thm)],[f167]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ root_occ(X3,X0)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f176,plain,
! [X101] :
( ? [X102,X103,X104] :
( ! [X105] :
( X105 = X104
| X105 = X103
| ~ min_precedes(X102,X105,tptp0) )
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& min_precedes(X102,X103,tptp0)
& occurrence_of(X103,tptp4)
& root_occ(X102,X101)
& occurrence_of(X102,tptp3) )
| ~ occurrence_of(X101,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f177,plain,
! [X101] :
( ( ! [X105] :
( X105 = sK14_skl(X101)
| X105 = sK13_skl(X101)
| ~ min_precedes(sK12_skl(X101),X105,tptp0) )
& min_precedes(sK13_skl(X101),sK14_skl(X101),tptp0)
& ( occurrence_of(sK14_skl(X101),tptp1)
| occurrence_of(sK14_skl(X101),tptp2) )
& min_precedes(sK12_skl(X101),sK13_skl(X101),tptp0)
& occurrence_of(sK13_skl(X101),tptp4)
& root_occ(sK12_skl(X101),X101)
& occurrence_of(sK12_skl(X101),tptp3) )
| ~ occurrence_of(X101,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(X102,sK12_skl(X101)),skolemize(X103,sK13_skl(X101)),skolemize(X104,sK14_skl(X101))],[f176]) ).
fof(f178,plain,
! [X0] :
( occurrence_of(sK12_skl(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
! [X0] :
( root_occ(sK12_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f181,plain,
! [X0] :
( min_precedes(sK12_skl(X0),sK13_skl(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f182,plain,
! [X0] :
( occurrence_of(sK14_skl(X0),tptp1)
| occurrence_of(sK14_skl(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f183,plain,
! [X0] :
( min_precedes(sK13_skl(X0),sK14_skl(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f197,plain,
? [X106] :
( ! [X107,X108] :
( ~ min_precedes(X107,X108,tptp0)
| ( ~ occurrence_of(X108,tptp1)
& ~ occurrence_of(X108,tptp2) )
| ~ root_occ(X107,X106)
| ~ occurrence_of(X107,tptp3) )
& occurrence_of(X106,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f198,plain,
( ! [X107,X108] :
( ~ min_precedes(X107,X108,tptp0)
| ( ~ occurrence_of(X108,tptp1)
& ~ occurrence_of(X108,tptp2) )
| ~ root_occ(X107,sK15_skl)
| ~ occurrence_of(X107,tptp3) )
& occurrence_of(sK15_skl,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(X106,sK15_skl)],[f197]) ).
fof(f199,plain,
occurrence_of(sK15_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp2)
| ~ root_occ(X0,sK15_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f201,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp1)
| ~ root_occ(X0,sK15_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f202,plain,
! [X0] :
( tptp0 = X0
| ~ occurrence_of(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f79,f199]) ).
fof(f296,plain,
root_occ(sK12_skl(sK15_skl),sK15_skl),
inference(resolution,[status(thm)],[f179,f199]) ).
fof(f298,plain,
root(sK12_skl(sK15_skl),sK9_skl(sK15_skl,sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f296,f129]) ).
fof(f299,plain,
occurrence_of(sK15_skl,sK9_skl(sK15_skl,sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f296,f127]) ).
fof(f309,plain,
occurrence_of(sK12_skl(sK15_skl),tptp3),
inference(resolution,[status(thm)],[f178,f199]) ).
fof(f348,plain,
tptp0 = sK9_skl(sK15_skl,sK12_skl(sK15_skl)),
inference(resolution,[status(thm)],[f299,f202]) ).
fof(f365,plain,
root(sK12_skl(sK15_skl),tptp0),
inference(forward_demodulation,[status(thm)],[f348,f298]) ).
fof(f414,plain,
min_precedes(sK12_skl(sK15_skl),sK13_skl(sK15_skl),tptp0),
inference(resolution,[status(thm)],[f181,f199]) ).
fof(f487,plain,
min_precedes(sK13_skl(sK15_skl),sK14_skl(sK15_skl),tptp0),
inference(resolution,[status(thm)],[f183,f199]) ).
fof(f493,plain,
min_precedes(sK10_skl(tptp0,sK14_skl(sK15_skl)),sK14_skl(sK15_skl),tptp0),
inference(resolution,[status(thm)],[f487,f145]) ).
fof(f494,plain,
root(sK10_skl(tptp0,sK14_skl(sK15_skl)),tptp0),
inference(resolution,[status(thm)],[f487,f144]) ).
fof(f495,plain,
subactivity_occurrence(sK14_skl(sK15_skl),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)),
inference(resolution,[status(thm)],[f487,f72]) ).
fof(f496,plain,
subactivity_occurrence(sK13_skl(sK15_skl),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)),
inference(resolution,[status(thm)],[f487,f71]) ).
fof(f497,plain,
occurrence_of(sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0),tptp0),
inference(resolution,[status(thm)],[f487,f70]) ).
fof(f631,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp1)
| ~ root_occ(sK10_skl(tptp0,sK14_skl(sK15_skl)),sK15_skl)
| ~ occurrence_of(sK10_skl(tptp0,sK14_skl(sK15_skl)),tptp3) ),
inference(resolution,[status(thm)],[f493,f201]) ).
fof(f632,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp2)
| ~ root_occ(sK10_skl(tptp0,sK14_skl(sK15_skl)),sK15_skl)
| ~ occurrence_of(sK10_skl(tptp0,sK14_skl(sK15_skl)),tptp3) ),
inference(resolution,[status(thm)],[f493,f200]) ).
fof(f653,plain,
! [X0] :
( ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0))
| root_occ(X0,sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f497,f130]) ).
fof(f665,plain,
! [X0,X1] :
( X0 = X1
| ~ root_occ(X1,sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0))
| ~ root_occ(X0,sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f497,f169]) ).
fof(f683,plain,
! [X0] :
( subactivity_occurrence(sK10_skl(tptp0,sK14_skl(sK15_skl)),X0)
| ~ subactivity_occurrence(sK14_skl(sK15_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f163,f493]) ).
fof(f686,plain,
! [X0] :
( subactivity_occurrence(sK12_skl(sK15_skl),X0)
| ~ subactivity_occurrence(sK13_skl(sK15_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f163,f414]) ).
fof(f840,plain,
( occurrence_of(sK14_skl(sK15_skl),tptp1)
| occurrence_of(sK14_skl(sK15_skl),tptp2) ),
inference(resolution,[status(thm)],[f182,f199]) ).
fof(f1009,plain,
( subactivity_occurrence(sK12_skl(sK15_skl),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0))
| ~ occurrence_of(sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f686,f496]) ).
fof(f1011,plain,
subactivity_occurrence(sK12_skl(sK15_skl),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f1009,f497]) ).
fof(f1443,plain,
( subactivity_occurrence(sK10_skl(tptp0,sK14_skl(sK15_skl)),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0))
| ~ occurrence_of(sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f683,f495]) ).
fof(f1445,plain,
subactivity_occurrence(sK10_skl(tptp0,sK14_skl(sK15_skl)),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f1443,f497]) ).
fof(f2019,plain,
( ~ root(sK10_skl(tptp0,sK14_skl(sK15_skl)),tptp0)
| root_occ(sK10_skl(tptp0,sK14_skl(sK15_skl)),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f653,f1445]) ).
fof(f2022,plain,
( ~ root(sK12_skl(sK15_skl),tptp0)
| root_occ(sK12_skl(sK15_skl),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f653,f1011]) ).
fof(f2023,plain,
root_occ(sK10_skl(tptp0,sK14_skl(sK15_skl)),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f2019,f494]) ).
fof(f2024,plain,
root_occ(sK12_skl(sK15_skl),sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f2022,f365]) ).
fof(f2131,plain,
! [X0] :
( sK12_skl(sK15_skl) = X0
| ~ root_occ(X0,sK2_skl(sK14_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f665,f2024]) ).
fof(f2134,plain,
sK12_skl(sK15_skl) = sK10_skl(tptp0,sK14_skl(sK15_skl)),
inference(resolution,[status(thm)],[f2131,f2023]) ).
fof(f2153,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp2)
| ~ root_occ(sK12_skl(sK15_skl),sK15_skl)
| ~ occurrence_of(sK10_skl(tptp0,sK14_skl(sK15_skl)),tptp3) ),
inference(backward_demodulation,[status(thm)],[f2134,f632]) ).
fof(f2154,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp1)
| ~ root_occ(sK12_skl(sK15_skl),sK15_skl)
| ~ occurrence_of(sK10_skl(tptp0,sK14_skl(sK15_skl)),tptp3) ),
inference(backward_demodulation,[status(thm)],[f2134,f631]) ).
fof(f2212,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp2)
| ~ root_occ(sK12_skl(sK15_skl),sK15_skl)
| ~ occurrence_of(sK12_skl(sK15_skl),tptp3) ),
inference(forward_demodulation,[status(thm)],[f2134,f2153]) ).
fof(f2213,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp2)
| ~ root_occ(sK12_skl(sK15_skl),sK15_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f2212,f309]) ).
fof(f2214,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp1)
| ~ root_occ(sK12_skl(sK15_skl),sK15_skl)
| ~ occurrence_of(sK12_skl(sK15_skl),tptp3) ),
inference(forward_demodulation,[status(thm)],[f2134,f2154]) ).
fof(f2215,plain,
( ~ occurrence_of(sK14_skl(sK15_skl),tptp1)
| ~ root_occ(sK12_skl(sK15_skl),sK15_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f2214,f309]) ).
fof(f2275,plain,
occurrence_of(sK14_skl(sK15_skl),tptp1),
inference(backward_subsumption_resolution,[status(thm)],[f840,f2276]) ).
fof(f2276,plain,
~ occurrence_of(sK14_skl(sK15_skl),tptp2),
inference(forward_subsumption_resolution,[status(thm)],[f2213,f296]) ).
fof(f2319,plain,
~ occurrence_of(sK14_skl(sK15_skl),tptp1),
inference(forward_subsumption_resolution,[status(thm)],[f2215,f296]) ).
fof(f2320,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2275,f2319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO012+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n026.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 03:45:27 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.15/6.01 % Refutation found
% 0.15/6.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/6.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/6.07 % Elapsed time: 0.677262 seconds
% 0.15/6.07 % CPU time: 4.996937 seconds
% 0.15/6.07 % Total memory used: 136.363 MB
% 0.15/6.07 % Net memory used: 132.580 MB
%------------------------------------------------------------------------------