%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO003+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:59:14 PM UTC 2026
% Result : Theorem 4.63s 1.11s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 109 ( 37 unt; 0 def)
% Number of atoms : 301 ( 31 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 314 ( 122 ~; 119 |; 59 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 186 ( 167 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X8,X9,X10,X11] :
( ( ~ min_precedes(X10,X11,X8)
& arboreal(X10)
& leaf_occ(X11,X9)
& subactivity_occurrence(X10,X9)
& occurrence_of(X9,X8) )
=> X11 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X12,X13] :
( occurrence_of(X13,X12)
=> ( activity_occurrence(X13)
& activity(X12) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X28,X29,X30] :
( ( occurrence_of(X28,X30)
& occurrence_of(X28,X29) )
=> X29 = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X41] :
( activity_occurrence(X41)
=> ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X51,X52] :
( occurrence_of(X51,X52)
=> ( arboreal(X51)
<=> atomic(X52) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103] :
( next_subocc(X102,X103,tptp0)
& leaf_occ(X103,X101)
& occurrence_of(X103,tptp3)
& root_occ(X102,X101)
& occurrence_of(X102,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [X104,X105] :
( ( root_occ(X104,X105)
& occurrence_of(X105,tptp0) )
=> ? [X106] :
( next_subocc(X104,X106,tptp0)
& occurrence_of(X106,tptp1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,conjecture,
~ ? [X107] : occurrence_of(X107,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
~ ~ ? [X107] : occurrence_of(X107,tptp0),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f56,plain,
! [X8,X9,X10,X11] :
( X11 = X10
| min_precedes(X10,X11,X8)
| ~ arboreal(X10)
| ~ leaf_occ(X11,X9)
| ~ subactivity_occurrence(X10,X9)
| ~ occurrence_of(X9,X8) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f57,plain,
! [X10,X11] :
( X11 = X10
| ! [X8] :
( min_precedes(X10,X11,X8)
| ~ arboreal(X10)
| ! [X9] :
( ~ leaf_occ(X11,X9)
| ~ subactivity_occurrence(X10,X9)
| ~ occurrence_of(X9,X8) ) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| min_precedes(X2,X3,X1)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X12,X13] :
( ( activity_occurrence(X13)
& activity(X12) )
| ~ occurrence_of(X13,X12) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f69,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(f70,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))],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( occurrence_of(sK2_skl(X1,X0,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X0,sK2_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X1,sK2_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f78,plain,
! [X28,X29,X30] :
( X29 = X30
| ~ occurrence_of(X28,X30)
| ~ occurrence_of(X28,X29) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f79,plain,
! [X29,X30] :
( X29 = X30
| ! [X28] :
( ~ occurrence_of(X28,X30)
| ~ occurrence_of(X28,X29) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f90,plain,
! [X41] :
( ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) )
| ~ activity_occurrence(X41) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f91,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))],[f90]) ).
fof(f93,plain,
! [X0] :
( occurrence_of(X0,sK4_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f111,plain,
! [X51,X52] :
( ( arboreal(X51)
<=> atomic(X52) )
| ~ occurrence_of(X51,X52) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f112,plain,
! [X51,X52] :
( ( ( ~ atomic(X52)
| arboreal(X51) )
& ( atomic(X52)
| ~ arboreal(X51) ) )
| ~ occurrence_of(X51,X52) ),
inference(NNF_transformation,[status(thm)],[f111]) ).
fof(f114,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f125,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(f126,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)],[f125]) ).
fof(f127,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))],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( occurrence_of(X1,sK9_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f130,plain,
! [X0,X1] :
( root(X0,sK9_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f154,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(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) )
& ( ( ! [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)],[f154]) ).
fof(f156,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)],[f155]) ).
fof(f157,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))],[f156]) ).
fof(f158,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f168,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(f169,plain,
! [X90,X91] :
( X90 = X91
| ! [X92] :
( ~ root_occ(X91,X92)
| ~ root_occ(X90,X92)
| ! [X93] : ~ occurrence_of(X92,X93) ) ),
inference(miniscoping,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ root_occ(X3,X0)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f177,plain,
! [X101] :
( ? [X102,X103] :
( next_subocc(X102,X103,tptp0)
& leaf_occ(X103,X101)
& occurrence_of(X103,tptp3)
& root_occ(X102,X101)
& occurrence_of(X102,tptp4) )
| ~ occurrence_of(X101,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f178,plain,
! [X101] :
( ( next_subocc(sK12_skl(X101),sK13_skl(X101),tptp0)
& leaf_occ(sK13_skl(X101),X101)
& occurrence_of(sK13_skl(X101),tptp3)
& root_occ(sK12_skl(X101),X101)
& occurrence_of(sK12_skl(X101),tptp4) )
| ~ occurrence_of(X101,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(X102,sK12_skl(X101)),skolemize(X103,sK13_skl(X101))],[f177]) ).
fof(f180,plain,
! [X0] :
( root_occ(sK12_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f181,plain,
! [X0] :
( occurrence_of(sK13_skl(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f182,plain,
! [X0] :
( leaf_occ(sK13_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f183,plain,
! [X0] :
( next_subocc(sK12_skl(X0),sK13_skl(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f189,plain,
atomic(tptp1),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f193,plain,
tptp1 != tptp3,
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f196,plain,
! [X104,X105] :
( ? [X106] :
( next_subocc(X104,X106,tptp0)
& occurrence_of(X106,tptp1) )
| ~ root_occ(X104,X105)
| ~ occurrence_of(X105,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f197,plain,
! [X104] :
( ? [X106] :
( next_subocc(X104,X106,tptp0)
& occurrence_of(X106,tptp1) )
| ! [X105] :
( ~ root_occ(X104,X105)
| ~ occurrence_of(X105,tptp0) ) ),
inference(miniscoping,[status(thm)],[f196]) ).
fof(f198,plain,
! [X104] :
( ( next_subocc(X104,sK14_skl(X104),tptp0)
& occurrence_of(sK14_skl(X104),tptp1) )
| ! [X105] :
( ~ root_occ(X104,X105)
| ~ occurrence_of(X105,tptp0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(X106,sK14_skl(X104))],[f197]) ).
fof(f199,plain,
! [X0,X1] :
( occurrence_of(sK14_skl(X1),tptp1)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
! [X0,X1] :
( next_subocc(X1,sK14_skl(X1),tptp0)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f201,plain,
occurrence_of(sK15_skl,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(X107,sK15_skl)],[f48]) ).
fof(f202,plain,
occurrence_of(sK15_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
! [X0] :
( tptp0 = X0
| ~ occurrence_of(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f80,f202]) ).
fof(f296,plain,
root_occ(sK12_skl(sK15_skl),sK15_skl),
inference(resolution,[status(thm)],[f180,f202]) ).
fof(f297,plain,
root(sK12_skl(sK15_skl),sK9_skl(sK15_skl,sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f296,f130]) ).
fof(f298,plain,
occurrence_of(sK15_skl,sK9_skl(sK15_skl,sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f296,f128]) ).
fof(f308,plain,
tptp0 = sK9_skl(sK15_skl,sK12_skl(sK15_skl)),
inference(resolution,[status(thm)],[f298,f203]) ).
fof(f324,plain,
root(sK12_skl(sK15_skl),tptp0),
inference(backward_demodulation,[status(thm)],[f308,f297]) ).
fof(f697,plain,
! [X0] :
( occurrence_of(sK14_skl(X0),tptp1)
| ~ root_occ(X0,sK15_skl) ),
inference(resolution,[status(thm)],[f199,f202]) ).
fof(f698,plain,
occurrence_of(sK14_skl(sK12_skl(sK15_skl)),tptp1),
inference(resolution,[status(thm)],[f697,f296]) ).
fof(f704,plain,
( ~ atomic(tptp1)
| arboreal(sK14_skl(sK12_skl(sK15_skl))) ),
inference(resolution,[status(thm)],[f698,f114]) ).
fof(f709,plain,
activity_occurrence(sK14_skl(sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f698,f61]) ).
fof(f713,plain,
! [X0] :
( tptp1 = X0
| ~ occurrence_of(sK14_skl(sK12_skl(sK15_skl)),X0) ),
inference(resolution,[status(thm)],[f698,f80]) ).
fof(f714,plain,
arboreal(sK14_skl(sK12_skl(sK15_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f704,f189]) ).
fof(f715,plain,
occurrence_of(sK14_skl(sK12_skl(sK15_skl)),sK4_skl(sK14_skl(sK12_skl(sK15_skl)))),
inference(resolution,[status(thm)],[f709,f93]) ).
fof(f747,plain,
tptp1 = sK4_skl(sK14_skl(sK12_skl(sK15_skl))),
inference(resolution,[status(thm)],[f715,f713]) ).
fof(f776,plain,
! [X0] :
( next_subocc(X0,sK14_skl(X0),tptp0)
| ~ root_occ(X0,sK15_skl) ),
inference(resolution,[status(thm)],[f200,f202]) ).
fof(f777,plain,
next_subocc(sK12_skl(sK15_skl),sK14_skl(sK12_skl(sK15_skl)),tptp0),
inference(resolution,[status(thm)],[f776,f296]) ).
fof(f779,plain,
min_precedes(sK12_skl(sK15_skl),sK14_skl(sK12_skl(sK15_skl)),tptp0),
inference(resolution,[status(thm)],[f777,f158]) ).
fof(f792,plain,
subactivity_occurrence(sK14_skl(sK12_skl(sK15_skl)),sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),
inference(resolution,[status(thm)],[f779,f73]) ).
fof(f793,plain,
subactivity_occurrence(sK12_skl(sK15_skl),sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),
inference(resolution,[status(thm)],[f779,f72]) ).
fof(f794,plain,
occurrence_of(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0),tptp0),
inference(resolution,[status(thm)],[f779,f71]) ).
fof(f872,plain,
next_subocc(sK12_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),tptp0),
inference(resolution,[status(thm)],[f794,f183]) ).
fof(f873,plain,
occurrence_of(sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),tptp3),
inference(resolution,[status(thm)],[f794,f181]) ).
fof(f875,plain,
leaf_occ(sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),
inference(resolution,[status(thm)],[f794,f182]) ).
fof(f876,plain,
root_occ(sK12_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),
inference(resolution,[status(thm)],[f794,f180]) ).
fof(f878,plain,
! [X0] :
( ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0))
| root_occ(X0,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f794,f131]) ).
fof(f880,plain,
! [X0,X1] :
( X0 = X1
| ~ root_occ(X1,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0))
| ~ root_occ(X0,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f794,f170]) ).
fof(f886,plain,
! [X0,X1] :
( X1 = X0
| min_precedes(X0,X1,tptp0)
| ~ arboreal(X0)
| ~ leaf_occ(X1,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0))
| ~ subactivity_occurrence(X0,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f794,f58]) ).
fof(f1092,plain,
activity_occurrence(sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0))),
inference(resolution,[status(thm)],[f873,f61]) ).
fof(f1096,plain,
! [X0] :
( tptp3 = X0
| ~ occurrence_of(sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),X0) ),
inference(resolution,[status(thm)],[f873,f80]) ).
fof(f1098,plain,
occurrence_of(sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),sK4_skl(sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)))),
inference(resolution,[status(thm)],[f1092,f93]) ).
fof(f3719,plain,
! [X0] :
( sK12_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) = X0
| ~ root_occ(X0,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f880,f876]) ).
fof(f3762,plain,
tptp3 = sK4_skl(sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0))),
inference(resolution,[status(thm)],[f1098,f1096]) ).
fof(f4169,plain,
( ~ root(sK12_skl(sK15_skl),tptp0)
| root_occ(sK12_skl(sK15_skl),sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f878,f793]) ).
fof(f4172,plain,
root_occ(sK12_skl(sK15_skl),sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f4169,f324]) ).
fof(f4191,plain,
sK12_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) = sK12_skl(sK15_skl),
inference(resolution,[status(thm)],[f4172,f3719]) ).
fof(f4205,plain,
next_subocc(sK12_skl(sK15_skl),sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),tptp0),
inference(backward_demodulation,[status(thm)],[f4191,f872]) ).
fof(f4251,plain,
! [X0] :
( X0 = sK14_skl(sK12_skl(sK15_skl))
| min_precedes(sK14_skl(sK12_skl(sK15_skl)),X0,tptp0)
| ~ arboreal(sK14_skl(sK12_skl(sK15_skl)))
| ~ leaf_occ(X0,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) ),
inference(resolution,[status(thm)],[f886,f792]) ).
fof(f4256,plain,
! [X0] :
( X0 = sK14_skl(sK12_skl(sK15_skl))
| min_precedes(sK14_skl(sK12_skl(sK15_skl)),X0,tptp0)
| ~ leaf_occ(X0,sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4251,f714]) ).
fof(f4264,plain,
! [X0] :
( ~ min_precedes(X0,sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),tptp0)
| ~ min_precedes(sK12_skl(sK15_skl),X0,tptp0) ),
inference(resolution,[status(thm)],[f4205,f159]) ).
fof(f4577,plain,
( sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) = sK14_skl(sK12_skl(sK15_skl))
| min_precedes(sK14_skl(sK12_skl(sK15_skl)),sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)),tptp0) ),
inference(resolution,[status(thm)],[f4256,f875]) ).
fof(f6921,plain,
( ~ min_precedes(sK12_skl(sK15_skl),sK14_skl(sK12_skl(sK15_skl)),tptp0)
| sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) = sK14_skl(sK12_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f4577,f4264]) ).
fof(f6938,plain,
sK13_skl(sK2_skl(sK14_skl(sK12_skl(sK15_skl)),sK12_skl(sK15_skl),tptp0)) = sK14_skl(sK12_skl(sK15_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f6921,f779]) ).
fof(f7053,plain,
tptp3 = sK4_skl(sK14_skl(sK12_skl(sK15_skl))),
inference(backward_demodulation,[status(thm)],[f6938,f3762]) ).
fof(f7116,plain,
tptp3 = tptp1,
inference(forward_demodulation,[status(thm)],[f747,f7053]) ).
fof(f7117,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7116,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO003+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:38:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 4.63/1.11 % Refutation found
% 4.63/1.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.63/1.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.63/1.14 % Elapsed time: 0.766788 seconds
% 4.63/1.14 % CPU time: 5.695777 seconds
% 4.63/1.14 % Total memory used: 166.732 MB
% 4.63/1.14 % Net memory used: 160.597 MB
%------------------------------------------------------------------------------