%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO017+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 : n014.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 01:59:20 PM UTC 2026
% Result : Theorem 11.16s 1.87s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 13
% Syntax : Number of formulae : 122 ( 33 unt; 0 def)
% Number of atoms : 403 ( 50 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 431 ( 150 ~; 185 |; 82 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 167 ( 142 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X12,X13] :
( occurrence_of(X13,X12)
=> ( activity_occurrence(X13)
& activity(X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f10,axiom,
! [X31,X32,X33] :
( ( leaf_occ(X32,X31)
& occurrence_of(X31,X33) )
=> ~ ? [X34] : min_precedes(X32,X34,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X41] :
( activity_occurrence(X41)
=> ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X51,X52] :
( occurrence_of(X51,X52)
=> ( arboreal(X51)
<=> atomic(X52) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X78,X79,X80] :
( next_subocc(X78,X79,X80)
<=> ( ~ ? [X81] :
( min_precedes(X81,X79,X80)
& min_precedes(X78,X81,X80) )
& min_precedes(X78,X79,X80) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X101,X102] :
( ( ~ leaf_occ(X101,X102)
& arboreal(X101)
& subactivity_occurrence(X101,X102)
& occurrence_of(X102,tptp0) )
=> ? [X103,X104,X105] :
( ! [X106] :
( min_precedes(X103,X106,tptp0)
=> ( X106 = X105
| X106 = X104 ) )
& min_precedes(X104,X105,tptp0)
& ( occurrence_of(X105,tptp1)
| occurrence_of(X105,tptp2) )
& min_precedes(X103,X104,tptp0)
& occurrence_of(X104,tptp4)
& next_subocc(X101,X103,tptp0)
& occurrence_of(X103,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,conjecture,
! [X107,X108] :
( ( ~ leaf_occ(X107,X108)
& arboreal(X107)
& subactivity_occurrence(X107,X108)
& occurrence_of(X108,tptp0) )
=> ? [X109,X110] :
( leaf(X110,tptp0)
& min_precedes(X109,X110,tptp0)
& ( occurrence_of(X110,tptp1)
| occurrence_of(X110,tptp2) )
& next_subocc(X107,X109,tptp0)
& occurrence_of(X109,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ ! [X107,X108] :
( ( ~ leaf_occ(X107,X108)
& arboreal(X107)
& subactivity_occurrence(X107,X108)
& occurrence_of(X108,tptp0) )
=> ? [X109,X110] :
( leaf(X110,tptp0)
& min_precedes(X109,X110,tptp0)
& ( occurrence_of(X110,tptp1)
| occurrence_of(X110,tptp2) )
& next_subocc(X107,X109,tptp0)
& occurrence_of(X109,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f58,plain,
! [X12,X13] :
( ( activity_occurrence(X13)
& activity(X12) )
| ~ occurrence_of(X13,X12) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
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(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(f80,plain,
! [X31,X32,X33] :
( ! [X34] : ~ min_precedes(X32,X34,X33)
| ~ leaf_occ(X32,X31)
| ~ occurrence_of(X31,X33) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f81,plain,
! [X32,X33] :
( ! [X34] : ~ min_precedes(X32,X34,X33)
| ! [X31] :
( ~ leaf_occ(X32,X31)
| ~ occurrence_of(X31,X33) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X2,X3,X1)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f89,plain,
! [X41] :
( ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) )
| ~ activity_occurrence(X41) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f90,plain,
! [X41] :
( ( occurrence_of(X41,sK4_skl(X41))
& activity(sK4_skl(X41)) )
| ~ activity_occurrence(X41) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X42,sK4_skl(X41))],[f89]) ).
fof(f92,plain,
! [X0] :
( occurrence_of(X0,sK4_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f110,plain,
! [X51,X52] :
( ( arboreal(X51)
<=> atomic(X52) )
| ~ occurrence_of(X51,X52) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f111,plain,
! [X51,X52] :
( ( ( ~ atomic(X52)
| arboreal(X51) )
& ( atomic(X52)
| ~ arboreal(X51) ) )
| ~ occurrence_of(X51,X52) ),
inference(NNF_transformation,[status(thm)],[f110]) ).
fof(f113,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f153,plain,
! [X78,X79,X80] :
( next_subocc(X78,X79,X80)
<=> ( ! [X81] :
( ~ min_precedes(X81,X79,X80)
| ~ min_precedes(X78,X81,X80) )
& min_precedes(X78,X79,X80) ) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f154,plain,
! [X78,X79,X80] :
( ( ? [X81] :
( min_precedes(X81,X79,X80)
& min_precedes(X78,X81,X80) )
| ~ min_precedes(X78,X79,X80)
| next_subocc(X78,X79,X80) )
& ( ( ! [X81] :
( ~ min_precedes(X81,X79,X80)
| ~ min_precedes(X78,X81,X80) )
& min_precedes(X78,X79,X80) )
| ~ next_subocc(X78,X79,X80) ) ),
inference(NNF_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( ! [X78,X79,X80] :
( ? [X81] :
( min_precedes(X81,X79,X80)
& min_precedes(X78,X81,X80) )
| ~ min_precedes(X78,X79,X80)
| next_subocc(X78,X79,X80) )
& ! [X78,X79,X80] :
( ( ! [X81] :
( ~ min_precedes(X81,X79,X80)
| ~ min_precedes(X78,X81,X80) )
& min_precedes(X78,X79,X80) )
| ~ next_subocc(X78,X79,X80) ) ),
inference(miniscoping,[status(thm)],[f154]) ).
fof(f156,plain,
( ! [X78,X79,X80] :
( ( min_precedes(sK11_skl(X80,X79,X78),X79,X80)
& min_precedes(X78,sK11_skl(X80,X79,X78),X80) )
| ~ min_precedes(X78,X79,X80)
| next_subocc(X78,X79,X80) )
& ! [X78,X79,X80] :
( ( ! [X81] :
( ~ min_precedes(X81,X79,X80)
| ~ min_precedes(X78,X81,X80) )
& min_precedes(X78,X79,X80) )
| ~ next_subocc(X78,X79,X80) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(X81,sK11_skl(X80,X79,X78))],[f155]) ).
fof(f157,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f176,plain,
! [X101,X102] :
( ? [X103,X104,X105] :
( ! [X106] :
( X106 = X105
| X106 = X104
| ~ min_precedes(X103,X106,tptp0) )
& min_precedes(X104,X105,tptp0)
& ( occurrence_of(X105,tptp1)
| occurrence_of(X105,tptp2) )
& min_precedes(X103,X104,tptp0)
& occurrence_of(X104,tptp4)
& next_subocc(X101,X103,tptp0)
& occurrence_of(X103,tptp3) )
| leaf_occ(X101,X102)
| ~ arboreal(X101)
| ~ subactivity_occurrence(X101,X102)
| ~ occurrence_of(X102,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f177,plain,
! [X101] :
( ? [X103,X104,X105] :
( ! [X106] :
( X106 = X105
| X106 = X104
| ~ min_precedes(X103,X106,tptp0) )
& min_precedes(X104,X105,tptp0)
& ( occurrence_of(X105,tptp1)
| occurrence_of(X105,tptp2) )
& min_precedes(X103,X104,tptp0)
& occurrence_of(X104,tptp4)
& next_subocc(X101,X103,tptp0)
& occurrence_of(X103,tptp3) )
| ! [X102] :
( leaf_occ(X101,X102)
| ~ arboreal(X101)
| ~ subactivity_occurrence(X101,X102)
| ~ occurrence_of(X102,tptp0) ) ),
inference(miniscoping,[status(thm)],[f176]) ).
fof(f178,plain,
! [X101] :
( ( ! [X106] :
( X106 = sK14_skl(X101)
| X106 = sK13_skl(X101)
| ~ min_precedes(sK12_skl(X101),X106,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)
& next_subocc(X101,sK12_skl(X101),tptp0)
& occurrence_of(sK12_skl(X101),tptp3) )
| ! [X102] :
( leaf_occ(X101,X102)
| ~ arboreal(X101)
| ~ subactivity_occurrence(X101,X102)
| ~ occurrence_of(X102,tptp0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(X103,sK12_skl(X101)),skolemize(X104,sK13_skl(X101)),skolemize(X105,sK14_skl(X101))],[f177]) ).
fof(f179,plain,
! [X0,X1] :
( occurrence_of(sK12_skl(X1),tptp3)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
! [X0,X1] :
( next_subocc(X1,sK12_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f181,plain,
! [X0,X1] :
( occurrence_of(sK13_skl(X1),tptp4)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f182,plain,
! [X0,X1] :
( min_precedes(sK12_skl(X1),sK13_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f183,plain,
! [X0,X1] :
( occurrence_of(sK14_skl(X1),tptp1)
| occurrence_of(sK14_skl(X1),tptp2)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f185,plain,
! [X0,X1,X2] :
( X2 = sK14_skl(X1)
| X2 = sK13_skl(X1)
| ~ min_precedes(sK12_skl(X1),X2,tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f191,plain,
atomic(tptp3),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f192,plain,
tptp4 != tptp3,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f195,plain,
tptp3 != tptp2,
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f196,plain,
tptp3 != tptp1,
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f198,plain,
? [X107,X108] :
( ! [X109,X110] :
( ~ leaf(X110,tptp0)
| ~ min_precedes(X109,X110,tptp0)
| ( ~ occurrence_of(X110,tptp1)
& ~ occurrence_of(X110,tptp2) )
| ~ next_subocc(X107,X109,tptp0)
| ~ occurrence_of(X109,tptp3) )
& ~ leaf_occ(X107,X108)
& arboreal(X107)
& subactivity_occurrence(X107,X108)
& occurrence_of(X108,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f199,plain,
? [X107] :
( ! [X110] :
( ~ leaf(X110,tptp0)
| ! [X109] :
( ~ min_precedes(X109,X110,tptp0)
| ( ~ occurrence_of(X110,tptp1)
& ~ occurrence_of(X110,tptp2) )
| ~ next_subocc(X107,X109,tptp0)
| ~ occurrence_of(X109,tptp3) ) )
& ? [X108] :
( ~ leaf_occ(X107,X108)
& arboreal(X107)
& subactivity_occurrence(X107,X108)
& occurrence_of(X108,tptp0) ) ),
inference(miniscoping,[status(thm)],[f198]) ).
fof(f200,plain,
( ! [X110] :
( ~ leaf(X110,tptp0)
| ! [X109] :
( ~ min_precedes(X109,X110,tptp0)
| ( ~ occurrence_of(X110,tptp1)
& ~ occurrence_of(X110,tptp2) )
| ~ next_subocc(sK15_skl,X109,tptp0)
| ~ occurrence_of(X109,tptp3) ) )
& ~ leaf_occ(sK15_skl,sK16_skl)
& arboreal(sK15_skl)
& subactivity_occurrence(sK15_skl,sK16_skl)
& occurrence_of(sK16_skl,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(X107,sK15_skl),skolemize(X108,sK16_skl)],[f199]) ).
fof(f201,plain,
occurrence_of(sK16_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
subactivity_occurrence(sK15_skl,sK16_skl),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f203,plain,
arboreal(sK15_skl),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f204,plain,
~ leaf_occ(sK15_skl,sK16_skl),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f308,plain,
! [X0] :
( occurrence_of(sK12_skl(X0),tptp3)
| leaf_occ(X0,sK16_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK16_skl) ),
inference(resolution,[status(thm)],[f179,f201]) ).
fof(f309,plain,
! [X0] :
( next_subocc(X0,sK12_skl(X0),tptp0)
| leaf_occ(X0,sK16_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK16_skl) ),
inference(resolution,[status(thm)],[f180,f201]) ).
fof(f310,plain,
! [X0] :
( occurrence_of(sK13_skl(X0),tptp4)
| leaf_occ(X0,sK16_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK16_skl) ),
inference(resolution,[status(thm)],[f181,f201]) ).
fof(f312,plain,
( occurrence_of(sK12_skl(sK15_skl),tptp3)
| leaf_occ(sK15_skl,sK16_skl)
| ~ subactivity_occurrence(sK15_skl,sK16_skl) ),
inference(resolution,[status(thm)],[f308,f203]) ).
fof(f313,plain,
( occurrence_of(sK12_skl(sK15_skl),tptp3)
| leaf_occ(sK15_skl,sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f202]) ).
fof(f314,plain,
occurrence_of(sK12_skl(sK15_skl),tptp3),
inference(forward_subsumption_resolution,[status(thm)],[f313,f204]) ).
fof(f317,plain,
( ~ atomic(tptp3)
| arboreal(sK12_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f314,f113]) ).
fof(f321,plain,
arboreal(sK12_skl(sK15_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f317,f191]) ).
fof(f323,plain,
( next_subocc(sK15_skl,sK12_skl(sK15_skl),tptp0)
| leaf_occ(sK15_skl,sK16_skl)
| ~ subactivity_occurrence(sK15_skl,sK16_skl) ),
inference(resolution,[status(thm)],[f309,f203]) ).
fof(f324,plain,
( next_subocc(sK15_skl,sK12_skl(sK15_skl),tptp0)
| leaf_occ(sK15_skl,sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f323,f202]) ).
fof(f343,plain,
( occurrence_of(sK13_skl(sK15_skl),tptp4)
| leaf_occ(sK15_skl,sK16_skl)
| ~ arboreal(sK15_skl) ),
inference(resolution,[status(thm)],[f310,f202]) ).
fof(f345,plain,
( occurrence_of(sK13_skl(sK15_skl),tptp4)
| leaf_occ(sK15_skl,sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f203]) ).
fof(f346,plain,
next_subocc(sK15_skl,sK12_skl(sK15_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f324,f204]) ).
fof(f350,plain,
min_precedes(sK15_skl,sK12_skl(sK15_skl),tptp0),
inference(resolution,[status(thm)],[f346,f157]) ).
fof(f364,plain,
subactivity_occurrence(sK12_skl(sK15_skl),sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0)),
inference(resolution,[status(thm)],[f350,f72]) ).
fof(f369,plain,
occurrence_of(sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0),tptp0),
inference(resolution,[status(thm)],[f350,f70]) ).
fof(f381,plain,
! [X0] :
( min_precedes(sK12_skl(X0),sK13_skl(X0),tptp0)
| leaf_occ(X0,sK16_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK16_skl) ),
inference(resolution,[status(thm)],[f182,f201]) ).
fof(f382,plain,
! [X0] :
( occurrence_of(sK14_skl(X0),tptp1)
| occurrence_of(sK14_skl(X0),tptp2)
| leaf_occ(X0,sK16_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK16_skl) ),
inference(resolution,[status(thm)],[f183,f201]) ).
fof(f393,plain,
( min_precedes(sK12_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)
| leaf_occ(sK15_skl,sK16_skl)
| ~ arboreal(sK15_skl) ),
inference(resolution,[status(thm)],[f381,f202]) ).
fof(f395,plain,
( min_precedes(sK12_skl(sK15_skl),sK13_skl(sK15_skl),tptp0)
| leaf_occ(sK15_skl,sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f203]) ).
fof(f397,plain,
occurrence_of(sK13_skl(sK15_skl),tptp4),
inference(forward_subsumption_resolution,[status(thm)],[f345,f204]) ).
fof(f401,plain,
! [X0] :
( X0 = tptp4
| ~ occurrence_of(sK13_skl(sK15_skl),X0) ),
inference(resolution,[status(thm)],[f397,f79]) ).
fof(f402,plain,
activity_occurrence(sK13_skl(sK15_skl)),
inference(resolution,[status(thm)],[f397,f60]) ).
fof(f411,plain,
occurrence_of(sK13_skl(sK15_skl),sK4_skl(sK13_skl(sK15_skl))),
inference(resolution,[status(thm)],[f402,f92]) ).
fof(f414,plain,
( occurrence_of(sK14_skl(sK15_skl),tptp1)
| occurrence_of(sK14_skl(sK15_skl),tptp2)
| leaf_occ(sK15_skl,sK16_skl)
| ~ arboreal(sK15_skl) ),
inference(resolution,[status(thm)],[f382,f202]) ).
fof(f416,plain,
( occurrence_of(sK14_skl(sK15_skl),tptp1)
| occurrence_of(sK14_skl(sK15_skl),tptp2)
| leaf_occ(sK15_skl,sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f414,f203]) ).
fof(f423,plain,
sK4_skl(sK13_skl(sK15_skl)) = tptp4,
inference(resolution,[status(thm)],[f411,f401]) ).
fof(f442,plain,
! [X0] :
( next_subocc(X0,sK12_skl(X0),tptp0)
| leaf_occ(X0,sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0)) ),
inference(resolution,[status(thm)],[f369,f180]) ).
fof(f443,plain,
! [X0] :
( occurrence_of(sK12_skl(X0),tptp3)
| leaf_occ(X0,sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0)) ),
inference(resolution,[status(thm)],[f369,f179]) ).
fof(f487,plain,
min_precedes(sK12_skl(sK15_skl),sK13_skl(sK15_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f395,f204]) ).
fof(f553,plain,
( occurrence_of(sK14_skl(sK15_skl),tptp1)
| occurrence_of(sK14_skl(sK15_skl),tptp2) ),
inference(forward_subsumption_resolution,[status(thm)],[f416,f204]) ).
fof(f561,plain,
( activity_occurrence(sK14_skl(sK15_skl))
| occurrence_of(sK14_skl(sK15_skl),tptp2) ),
inference(resolution,[status(thm)],[f553,f60]) ).
fof(f565,plain,
activity_occurrence(sK14_skl(sK15_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f561,f60]) ).
fof(f568,plain,
occurrence_of(sK14_skl(sK15_skl),sK4_skl(sK14_skl(sK15_skl))),
inference(resolution,[status(thm)],[f565,f92]) ).
fof(f590,plain,
! [X0] :
( X0 = sK4_skl(sK14_skl(sK15_skl))
| ~ occurrence_of(sK14_skl(sK15_skl),X0) ),
inference(resolution,[status(thm)],[f568,f79]) ).
fof(f682,plain,
( occurrence_of(sK14_skl(sK15_skl),tptp2)
| tptp1 = sK4_skl(sK14_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f590,f553]) ).
fof(f819,plain,
( tptp2 = sK4_skl(sK14_skl(sK15_skl))
| tptp1 = sK4_skl(sK14_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f682,f590]) ).
fof(f4868,plain,
( next_subocc(sK12_skl(sK15_skl),sK12_skl(sK12_skl(sK15_skl)),tptp0)
| leaf_occ(sK12_skl(sK15_skl),sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0))
| ~ arboreal(sK12_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f442,f364]) ).
fof(f4874,plain,
( next_subocc(sK12_skl(sK15_skl),sK12_skl(sK12_skl(sK15_skl)),tptp0)
| leaf_occ(sK12_skl(sK15_skl),sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4868,f321]) ).
fof(f4879,plain,
( occurrence_of(sK12_skl(sK12_skl(sK15_skl)),tptp3)
| leaf_occ(sK12_skl(sK15_skl),sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0))
| ~ arboreal(sK12_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f443,f364]) ).
fof(f4885,plain,
( occurrence_of(sK12_skl(sK12_skl(sK15_skl)),tptp3)
| leaf_occ(sK12_skl(sK15_skl),sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4879,f321]) ).
fof(f4920,plain,
! [X0,X1] :
( ~ min_precedes(sK12_skl(sK15_skl),X1,X0)
| ~ occurrence_of(sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0),X0)
| occurrence_of(sK12_skl(sK12_skl(sK15_skl)),tptp3) ),
inference(resolution,[status(thm)],[f4885,f82]) ).
fof(f4929,plain,
! [X0,X1] :
( ~ min_precedes(sK12_skl(sK15_skl),X1,X0)
| ~ occurrence_of(sK2_skl(sK12_skl(sK15_skl),sK15_skl,tptp0),X0)
| next_subocc(sK12_skl(sK15_skl),sK12_skl(sK12_skl(sK15_skl)),tptp0) ),
inference(resolution,[status(thm)],[f4874,f82]) ).
fof(f4956,plain,
! [X0] :
( ~ min_precedes(sK12_skl(sK15_skl),X0,tptp0)
| occurrence_of(sK12_skl(sK12_skl(sK15_skl)),tptp3) ),
inference(resolution,[status(thm)],[f4920,f369]) ).
fof(f4960,plain,
occurrence_of(sK12_skl(sK12_skl(sK15_skl)),tptp3),
inference(resolution,[status(thm)],[f4956,f487]) ).
fof(f4968,plain,
! [X0] :
( X0 = tptp3
| ~ occurrence_of(sK12_skl(sK12_skl(sK15_skl)),X0) ),
inference(resolution,[status(thm)],[f4960,f79]) ).
fof(f4969,plain,
activity_occurrence(sK12_skl(sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f4960,f60]) ).
fof(f4978,plain,
occurrence_of(sK12_skl(sK12_skl(sK15_skl)),sK4_skl(sK12_skl(sK12_skl(sK15_skl)))),
inference(resolution,[status(thm)],[f4969,f92]) ).
fof(f4982,plain,
sK4_skl(sK12_skl(sK12_skl(sK15_skl))) = tptp3,
inference(resolution,[status(thm)],[f4978,f4968]) ).
fof(f6813,plain,
! [X0] :
( ~ min_precedes(sK12_skl(sK15_skl),X0,tptp0)
| next_subocc(sK12_skl(sK15_skl),sK12_skl(sK12_skl(sK15_skl)),tptp0) ),
inference(resolution,[status(thm)],[f4929,f369]) ).
fof(f6815,plain,
! [X0] :
( min_precedes(sK12_skl(sK15_skl),sK12_skl(sK12_skl(sK15_skl)),tptp0)
| ~ min_precedes(sK12_skl(sK15_skl),X0,tptp0) ),
inference(resolution,[status(thm)],[f6813,f157]) ).
fof(f6822,plain,
min_precedes(sK12_skl(sK15_skl),sK12_skl(sK12_skl(sK15_skl)),tptp0),
inference(resolution,[status(thm)],[f6815,f487]) ).
fof(f6823,plain,
! [X0] :
( sK12_skl(sK12_skl(sK15_skl)) = sK14_skl(sK15_skl)
| sK12_skl(sK12_skl(sK15_skl)) = sK13_skl(sK15_skl)
| leaf_occ(sK15_skl,X0)
| ~ arboreal(sK15_skl)
| ~ subactivity_occurrence(sK15_skl,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f6822,f185]) ).
fof(f6835,plain,
! [X0] :
( sK12_skl(sK12_skl(sK15_skl)) = sK14_skl(sK15_skl)
| sK12_skl(sK12_skl(sK15_skl)) = sK13_skl(sK15_skl)
| leaf_occ(sK15_skl,X0)
| ~ subactivity_occurrence(sK15_skl,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6823,f203]) ).
fof(f7903,plain,
( sK12_skl(sK12_skl(sK15_skl)) = sK14_skl(sK15_skl)
| sK12_skl(sK12_skl(sK15_skl)) = sK13_skl(sK15_skl)
| ~ subactivity_occurrence(sK15_skl,sK16_skl)
| ~ occurrence_of(sK16_skl,tptp0) ),
inference(resolution,[status(thm)],[f6835,f204]) ).
fof(f7913,plain,
( sK12_skl(sK12_skl(sK15_skl)) = sK14_skl(sK15_skl)
| sK12_skl(sK12_skl(sK15_skl)) = sK13_skl(sK15_skl)
| ~ subactivity_occurrence(sK15_skl,sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f7903,f201]) ).
fof(f7914,plain,
( sK12_skl(sK12_skl(sK15_skl)) = sK14_skl(sK15_skl)
| sK12_skl(sK12_skl(sK15_skl)) = sK13_skl(sK15_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f7913,f202]) ).
fof(f8046,plain,
( sK12_skl(sK12_skl(sK15_skl)) = sK13_skl(sK15_skl)
| sK4_skl(sK14_skl(sK15_skl)) = tptp3 ),
inference(paramodulation,[status(thm)],[f7914,f4982]) ).
fof(f8192,plain,
( sK4_skl(sK14_skl(sK15_skl)) = tptp3
| sK4_skl(sK13_skl(sK15_skl)) = tptp3 ),
inference(paramodulation,[status(thm)],[f8046,f4982]) ).
fof(f8199,plain,
( sK4_skl(sK14_skl(sK15_skl)) = tptp3
| tptp4 = tptp3 ),
inference(forward_demodulation,[status(thm)],[f423,f8192]) ).
fof(f8200,plain,
sK4_skl(sK14_skl(sK15_skl)) = tptp3,
inference(forward_subsumption_resolution,[status(thm)],[f8199,f192]) ).
fof(f8206,plain,
( tptp2 = tptp3
| tptp1 = sK4_skl(sK14_skl(sK15_skl)) ),
inference(backward_demodulation,[status(thm)],[f8200,f819]) ).
fof(f8218,plain,
( tptp2 = tptp3
| tptp1 = tptp3 ),
inference(forward_demodulation,[status(thm)],[f8200,f8206]) ).
fof(f8219,plain,
tptp2 = tptp3,
inference(forward_subsumption_resolution,[status(thm)],[f8218,f196]) ).
fof(f8223,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f8219,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:43:49 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 11.16/1.87 % Refutation found
% 11.16/1.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.16/1.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.89/1.91 % Elapsed time: 1.546253 seconds
% 0.89/1.91 % CPU time: 11.947828 seconds
% 0.89/1.91 % Total memory used: 204.541 MB
% 0.89/1.91 % Net memory used: 192.857 MB
%------------------------------------------------------------------------------