%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO017+2 : 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 01:59:19 PM UTC 2026
% Result : Theorem 14.27s 2.24s
% Output : CNFRefutation 14.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 148 ( 35 unt; 0 def)
% Number of atoms : 497 ( 42 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 556 ( 207 ~; 238 |; 94 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 224 ( 192 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X1,X2,X3)
& min_precedes(X0,X1,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X15,X16,X17] :
( next_subocc(X15,X16,X17)
<=> ( ~ ? [X18] :
( min_precedes(X18,X16,X17)
& min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X40,X41] :
( occurrence_of(X40,X41)
=> ( arboreal(X40)
<=> atomic(X41) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X42,X43] :
( leaf(X42,X43)
<=> ( ~ ? [X45] : min_precedes(X42,X45,X43)
& ( ? [X44] : min_precedes(X44,X42,X43)
| root(X42,X43) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X52] :
( activity_occurrence(X52)
=> ? [X53] :
( occurrence_of(X52,X53)
& activity(X53) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X60,X61,X62] :
( ( leaf_occ(X61,X60)
& occurrence_of(X60,X62) )
=> ~ ? [X63] : min_precedes(X61,X63,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X64,X65,X66] :
( ( occurrence_of(X64,X66)
& occurrence_of(X64,X65) )
=> X65 = X66 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X89,X90] :
( occurrence_of(X90,X89)
=> ( activity_occurrence(X90)
& activity(X89) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X95,X96] :
( ( ~ leaf_occ(X95,X96)
& arboreal(X95)
& subactivity_occurrence(X95,X96)
& occurrence_of(X96,tptp0) )
=> ? [X97,X98,X99] :
( ! [X100] :
( min_precedes(X97,X100,tptp0)
=> ( X100 = X99
| X100 = X98 ) )
& min_precedes(X98,X99,tptp0)
& ( occurrence_of(X99,tptp1)
| occurrence_of(X99,tptp2) )
& min_precedes(X97,X98,tptp0)
& occurrence_of(X98,tptp4)
& next_subocc(X95,X97,tptp0)
& occurrence_of(X97,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
atomic(tptp4),
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,
! [X101,X102] :
( ( ~ leaf_occ(X101,X102)
& arboreal(X101)
& subactivity_occurrence(X101,X102)
& occurrence_of(X102,tptp0) )
=> ? [X103,X104] :
( leaf(X104,tptp0)
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& next_subocc(X101,X103,tptp0)
& occurrence_of(X103,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ ! [X101,X102] :
( ( ~ leaf_occ(X101,X102)
& arboreal(X101)
& subactivity_occurrence(X101,X102)
& occurrence_of(X102,tptp0) )
=> ? [X103,X104] :
( leaf(X104,tptp0)
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& next_subocc(X101,X103,tptp0)
& occurrence_of(X103,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X2,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f49,plain,
! [X0,X2,X3] :
( min_precedes(X0,X2,X3)
| ! [X1] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X3,X2)
| ~ min_precedes(X1,X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f60,plain,
! [X15,X16,X17] :
( next_subocc(X15,X16,X17)
<=> ( ! [X18] :
( ~ min_precedes(X18,X16,X17)
| ~ min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f61,plain,
! [X15,X16,X17] :
( ( ? [X18] :
( min_precedes(X18,X16,X17)
& min_precedes(X15,X18,X17) )
| ~ min_precedes(X15,X16,X17)
| next_subocc(X15,X16,X17) )
& ( ( ! [X18] :
( ~ min_precedes(X18,X16,X17)
| ~ min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) )
| ~ next_subocc(X15,X16,X17) ) ),
inference(NNF_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
( ! [X15,X16,X17] :
( ? [X18] :
( min_precedes(X18,X16,X17)
& min_precedes(X15,X18,X17) )
| ~ min_precedes(X15,X16,X17)
| next_subocc(X15,X16,X17) )
& ! [X15,X16,X17] :
( ( ! [X18] :
( ~ min_precedes(X18,X16,X17)
| ~ min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) )
| ~ next_subocc(X15,X16,X17) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f63,plain,
( ! [X15,X16,X17] :
( ( min_precedes(sK0_skl(X17,X16,X15),X16,X17)
& min_precedes(X15,sK0_skl(X17,X16,X15),X17) )
| ~ min_precedes(X15,X16,X17)
| next_subocc(X15,X16,X17) )
& ! [X15,X16,X17] :
( ( ! [X18] :
( ~ min_precedes(X18,X16,X17)
| ~ min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) )
| ~ next_subocc(X15,X16,X17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X18,sK0_skl(X17,X16,X15))],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,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)],[f63]) ).
fof(f102,plain,
! [X40,X41] :
( ( arboreal(X40)
<=> atomic(X41) )
| ~ occurrence_of(X40,X41) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f103,plain,
! [X40,X41] :
( ( ( ~ atomic(X41)
| arboreal(X40) )
& ( atomic(X41)
| ~ arboreal(X40) ) )
| ~ occurrence_of(X40,X41) ),
inference(NNF_transformation,[status(thm)],[f102]) ).
fof(f105,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f106,plain,
! [X42,X43] :
( leaf(X42,X43)
<=> ( ! [X45] : ~ min_precedes(X42,X45,X43)
& ( ? [X44] : min_precedes(X44,X42,X43)
| root(X42,X43) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f107,plain,
! [X42,X43] :
( ( ? [X45] : min_precedes(X42,X45,X43)
| ( ! [X44] : ~ min_precedes(X44,X42,X43)
& ~ root(X42,X43) )
| leaf(X42,X43) )
& ( ( ! [X45] : ~ min_precedes(X42,X45,X43)
& ( ? [X44] : min_precedes(X44,X42,X43)
| root(X42,X43) ) )
| ~ leaf(X42,X43) ) ),
inference(NNF_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
( ! [X42,X43] :
( ? [X45] : min_precedes(X42,X45,X43)
| ( ! [X44] : ~ min_precedes(X44,X42,X43)
& ~ root(X42,X43) )
| leaf(X42,X43) )
& ! [X42,X43] :
( ( ! [X45] : ~ min_precedes(X42,X45,X43)
& ( ? [X44] : min_precedes(X44,X42,X43)
| root(X42,X43) ) )
| ~ leaf(X42,X43) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f109,plain,
( ! [X42,X43] :
( min_precedes(X42,sK4_skl(X43,X42),X43)
| ( ! [X44] : ~ min_precedes(X44,X42,X43)
& ~ root(X42,X43) )
| leaf(X42,X43) )
& ! [X42,X43] :
( ( ! [X45] : ~ min_precedes(X42,X45,X43)
& ( min_precedes(sK3_skl(X43,X42),X42,X43)
| root(X42,X43) ) )
| ~ leaf(X42,X43) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(X44,sK3_skl(X43,X42)),skolemize(X45,sK4_skl(X43,X42))],[f108]) ).
fof(f113,plain,
! [X0,X1,X2] :
( min_precedes(X0,sK4_skl(X1,X0),X1)
| ~ min_precedes(X2,X0,X1)
| leaf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f125,plain,
! [X52] :
( ? [X53] :
( occurrence_of(X52,X53)
& activity(X53) )
| ~ activity_occurrence(X52) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f126,plain,
! [X52] :
( ( occurrence_of(X52,sK6_skl(X52))
& activity(sK6_skl(X52)) )
| ~ activity_occurrence(X52) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(X53,sK6_skl(X52))],[f125]) ).
fof(f128,plain,
! [X0] :
( occurrence_of(X0,sK6_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f135,plain,
! [X60,X61,X62] :
( ! [X63] : ~ min_precedes(X61,X63,X62)
| ~ leaf_occ(X61,X60)
| ~ occurrence_of(X60,X62) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f136,plain,
! [X61,X62] :
( ! [X63] : ~ min_precedes(X61,X63,X62)
| ! [X60] :
( ~ leaf_occ(X61,X60)
| ~ occurrence_of(X60,X62) ) ),
inference(miniscoping,[status(thm)],[f135]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X2,X3,X1)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
! [X64,X65,X66] :
( X65 = X66
| ~ occurrence_of(X64,X66)
| ~ occurrence_of(X64,X65) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f139,plain,
! [X65,X66] :
( X65 = X66
| ! [X64] :
( ~ occurrence_of(X64,X66)
| ~ occurrence_of(X64,X65) ) ),
inference(miniscoping,[status(thm)],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f145,plain,
! [X70,X71,X72] :
( ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) )
| ~ min_precedes(X71,X72,X70) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f146,plain,
! [X70,X71,X72] :
( ( subactivity_occurrence(X72,sK8_skl(X72,X71,X70))
& subactivity_occurrence(X71,sK8_skl(X72,X71,X70))
& occurrence_of(sK8_skl(X72,X71,X70),X70) )
| ~ min_precedes(X71,X72,X70) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(X73,sK8_skl(X72,X71,X70))],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( occurrence_of(sK8_skl(X1,X0,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f149,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X1,sK8_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f168,plain,
! [X89,X90] :
( ( activity_occurrence(X90)
& activity(X89) )
| ~ occurrence_of(X90,X89) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f170,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f177,plain,
! [X95,X96] :
( ? [X97,X98,X99] :
( ! [X100] :
( X100 = X99
| X100 = X98
| ~ min_precedes(X97,X100,tptp0) )
& min_precedes(X98,X99,tptp0)
& ( occurrence_of(X99,tptp1)
| occurrence_of(X99,tptp2) )
& min_precedes(X97,X98,tptp0)
& occurrence_of(X98,tptp4)
& next_subocc(X95,X97,tptp0)
& occurrence_of(X97,tptp3) )
| leaf_occ(X95,X96)
| ~ arboreal(X95)
| ~ subactivity_occurrence(X95,X96)
| ~ occurrence_of(X96,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f178,plain,
! [X95] :
( ? [X97,X98,X99] :
( ! [X100] :
( X100 = X99
| X100 = X98
| ~ min_precedes(X97,X100,tptp0) )
& min_precedes(X98,X99,tptp0)
& ( occurrence_of(X99,tptp1)
| occurrence_of(X99,tptp2) )
& min_precedes(X97,X98,tptp0)
& occurrence_of(X98,tptp4)
& next_subocc(X95,X97,tptp0)
& occurrence_of(X97,tptp3) )
| ! [X96] :
( leaf_occ(X95,X96)
| ~ arboreal(X95)
| ~ subactivity_occurrence(X95,X96)
| ~ occurrence_of(X96,tptp0) ) ),
inference(miniscoping,[status(thm)],[f177]) ).
fof(f179,plain,
! [X95] :
( ( ! [X100] :
( X100 = sK16_skl(X95)
| X100 = sK15_skl(X95)
| ~ min_precedes(sK14_skl(X95),X100,tptp0) )
& min_precedes(sK15_skl(X95),sK16_skl(X95),tptp0)
& ( occurrence_of(sK16_skl(X95),tptp1)
| occurrence_of(sK16_skl(X95),tptp2) )
& min_precedes(sK14_skl(X95),sK15_skl(X95),tptp0)
& occurrence_of(sK15_skl(X95),tptp4)
& next_subocc(X95,sK14_skl(X95),tptp0)
& occurrence_of(sK14_skl(X95),tptp3) )
| ! [X96] :
( leaf_occ(X95,X96)
| ~ arboreal(X95)
| ~ subactivity_occurrence(X95,X96)
| ~ occurrence_of(X96,tptp0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(X97,sK14_skl(X95)),skolemize(X98,sK15_skl(X95)),skolemize(X99,sK16_skl(X95))],[f178]) ).
fof(f180,plain,
! [X0,X1] :
( occurrence_of(sK14_skl(X1),tptp3)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( next_subocc(X1,sK14_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f182,plain,
! [X0,X1] :
( occurrence_of(sK15_skl(X1),tptp4)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f183,plain,
! [X0,X1] :
( min_precedes(sK14_skl(X1),sK15_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f184,plain,
! [X0,X1] :
( occurrence_of(sK16_skl(X1),tptp1)
| occurrence_of(sK16_skl(X1),tptp2)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f185,plain,
! [X0,X1] :
( min_precedes(sK15_skl(X1),sK16_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f186,plain,
! [X0,X1,X2] :
( X2 = sK16_skl(X1)
| X2 = sK15_skl(X1)
| ~ min_precedes(sK14_skl(X1),X2,tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f189,plain,
atomic(tptp4),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f196,plain,
tptp3 != tptp2,
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f197,plain,
tptp3 != tptp1,
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f199,plain,
? [X101,X102] :
( ! [X103,X104] :
( ~ leaf(X104,tptp0)
| ~ min_precedes(X103,X104,tptp0)
| ( ~ occurrence_of(X104,tptp1)
& ~ occurrence_of(X104,tptp2) )
| ~ 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)],[f47]) ).
fof(f200,plain,
? [X101] :
( ! [X104] :
( ~ leaf(X104,tptp0)
| ! [X103] :
( ~ min_precedes(X103,X104,tptp0)
| ( ~ occurrence_of(X104,tptp1)
& ~ occurrence_of(X104,tptp2) )
| ~ 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)],[f199]) ).
fof(f201,plain,
( ! [X104] :
( ~ leaf(X104,tptp0)
| ! [X103] :
( ~ min_precedes(X103,X104,tptp0)
| ( ~ occurrence_of(X104,tptp1)
& ~ occurrence_of(X104,tptp2) )
| ~ next_subocc(sK17_skl,X103,tptp0)
| ~ occurrence_of(X103,tptp3) ) )
& ~ leaf_occ(sK17_skl,sK18_skl)
& arboreal(sK17_skl)
& subactivity_occurrence(sK17_skl,sK18_skl)
& occurrence_of(sK18_skl,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(X101,sK17_skl),skolemize(X102,sK18_skl)],[f200]) ).
fof(f202,plain,
occurrence_of(sK18_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
subactivity_occurrence(sK17_skl,sK18_skl),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f204,plain,
arboreal(sK17_skl),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f205,plain,
~ leaf_occ(sK17_skl,sK18_skl),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f206,plain,
! [X0,X1] :
( ~ leaf(X1,tptp0)
| ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp2)
| ~ next_subocc(sK17_skl,X0,tptp0)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f207,plain,
! [X0,X1] :
( ~ leaf(X1,tptp0)
| ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp1)
| ~ next_subocc(sK17_skl,X0,tptp0)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f299,plain,
! [X0] :
( occurrence_of(sK14_skl(X0),tptp3)
| leaf_occ(X0,sK18_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK18_skl) ),
inference(resolution,[status(thm)],[f180,f202]) ).
fof(f300,plain,
! [X0] :
( next_subocc(X0,sK14_skl(X0),tptp0)
| leaf_occ(X0,sK18_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK18_skl) ),
inference(resolution,[status(thm)],[f181,f202]) ).
fof(f301,plain,
! [X0] :
( occurrence_of(sK15_skl(X0),tptp4)
| leaf_occ(X0,sK18_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK18_skl) ),
inference(resolution,[status(thm)],[f182,f202]) ).
fof(f324,plain,
( occurrence_of(sK14_skl(sK17_skl),tptp3)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl) ),
inference(resolution,[status(thm)],[f299,f203]) ).
fof(f326,plain,
( occurrence_of(sK14_skl(sK17_skl),tptp3)
| leaf_occ(sK17_skl,sK18_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f204]) ).
fof(f332,plain,
occurrence_of(sK14_skl(sK17_skl),tptp3),
inference(forward_subsumption_resolution,[status(thm)],[f326,f205]) ).
fof(f361,plain,
( next_subocc(sK17_skl,sK14_skl(sK17_skl),tptp0)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl) ),
inference(resolution,[status(thm)],[f300,f203]) ).
fof(f363,plain,
( next_subocc(sK17_skl,sK14_skl(sK17_skl),tptp0)
| leaf_occ(sK17_skl,sK18_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f204]) ).
fof(f365,plain,
( occurrence_of(sK15_skl(sK17_skl),tptp4)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl) ),
inference(resolution,[status(thm)],[f301,f203]) ).
fof(f367,plain,
( occurrence_of(sK15_skl(sK17_skl),tptp4)
| leaf_occ(sK17_skl,sK18_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f204]) ).
fof(f410,plain,
occurrence_of(sK15_skl(sK17_skl),tptp4),
inference(forward_subsumption_resolution,[status(thm)],[f367,f205]) ).
fof(f418,plain,
( ~ atomic(tptp4)
| arboreal(sK15_skl(sK17_skl)) ),
inference(resolution,[status(thm)],[f410,f105]) ).
fof(f425,plain,
arboreal(sK15_skl(sK17_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f418,f189]) ).
fof(f432,plain,
! [X0] :
( min_precedes(sK14_skl(X0),sK15_skl(X0),tptp0)
| leaf_occ(X0,sK18_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK18_skl) ),
inference(resolution,[status(thm)],[f183,f202]) ).
fof(f433,plain,
! [X0] :
( occurrence_of(sK16_skl(X0),tptp1)
| occurrence_of(sK16_skl(X0),tptp2)
| leaf_occ(X0,sK18_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK18_skl) ),
inference(resolution,[status(thm)],[f184,f202]) ).
fof(f434,plain,
! [X0] :
( min_precedes(sK15_skl(X0),sK16_skl(X0),tptp0)
| leaf_occ(X0,sK18_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK18_skl) ),
inference(resolution,[status(thm)],[f185,f202]) ).
fof(f460,plain,
( min_precedes(sK14_skl(sK17_skl),sK15_skl(sK17_skl),tptp0)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl) ),
inference(resolution,[status(thm)],[f432,f203]) ).
fof(f462,plain,
( min_precedes(sK14_skl(sK17_skl),sK15_skl(sK17_skl),tptp0)
| leaf_occ(sK17_skl,sK18_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f204]) ).
fof(f505,plain,
( occurrence_of(sK16_skl(sK17_skl),tptp1)
| occurrence_of(sK16_skl(sK17_skl),tptp2)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl) ),
inference(resolution,[status(thm)],[f433,f203]) ).
fof(f507,plain,
( occurrence_of(sK16_skl(sK17_skl),tptp1)
| occurrence_of(sK16_skl(sK17_skl),tptp2)
| leaf_occ(sK17_skl,sK18_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f204]) ).
fof(f509,plain,
( min_precedes(sK15_skl(sK17_skl),sK16_skl(sK17_skl),tptp0)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl) ),
inference(resolution,[status(thm)],[f434,f203]) ).
fof(f511,plain,
( min_precedes(sK15_skl(sK17_skl),sK16_skl(sK17_skl),tptp0)
| leaf_occ(sK17_skl,sK18_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f204]) ).
fof(f512,plain,
next_subocc(sK17_skl,sK14_skl(sK17_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f363,f205]) ).
fof(f558,plain,
! [X0,X1] :
( X1 = sK16_skl(X0)
| X1 = sK15_skl(X0)
| ~ min_precedes(sK14_skl(X0),X1,tptp0)
| leaf_occ(X0,sK18_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK18_skl) ),
inference(resolution,[status(thm)],[f186,f202]) ).
fof(f696,plain,
min_precedes(sK14_skl(sK17_skl),sK15_skl(sK17_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f462,f205]) ).
fof(f708,plain,
subactivity_occurrence(sK15_skl(sK17_skl),sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0)),
inference(resolution,[status(thm)],[f696,f149]) ).
fof(f710,plain,
occurrence_of(sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0),tptp0),
inference(resolution,[status(thm)],[f696,f147]) ).
fof(f716,plain,
! [X0] :
( min_precedes(sK14_skl(sK17_skl),X0,tptp0)
| ~ min_precedes(sK15_skl(sK17_skl),X0,tptp0) ),
inference(resolution,[status(thm)],[f696,f50]) ).
fof(f862,plain,
! [X0] :
( next_subocc(X0,sK14_skl(X0),tptp0)
| leaf_occ(X0,sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0)) ),
inference(resolution,[status(thm)],[f710,f181]) ).
fof(f863,plain,
! [X0] :
( occurrence_of(sK14_skl(X0),tptp3)
| leaf_occ(X0,sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0)) ),
inference(resolution,[status(thm)],[f710,f180]) ).
fof(f870,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| ~ leaf_occ(X0,sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0)) ),
inference(resolution,[status(thm)],[f710,f137]) ).
fof(f891,plain,
( occurrence_of(sK16_skl(sK17_skl),tptp1)
| occurrence_of(sK16_skl(sK17_skl),tptp2) ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f205]) ).
fof(f902,plain,
( activity_occurrence(sK16_skl(sK17_skl))
| occurrence_of(sK16_skl(sK17_skl),tptp1) ),
inference(resolution,[status(thm)],[f891,f170]) ).
fof(f908,plain,
activity_occurrence(sK16_skl(sK17_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f902,f170]) ).
fof(f927,plain,
min_precedes(sK15_skl(sK17_skl),sK16_skl(sK17_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f511,f205]) ).
fof(f936,plain,
( min_precedes(sK16_skl(sK17_skl),sK4_skl(tptp0,sK16_skl(sK17_skl)),tptp0)
| leaf(sK16_skl(sK17_skl),tptp0) ),
inference(resolution,[status(thm)],[f927,f113]) ).
fof(f945,plain,
! [X0] :
( min_precedes(sK15_skl(sK17_skl),X0,tptp0)
| ~ min_precedes(sK16_skl(sK17_skl),X0,tptp0) ),
inference(resolution,[status(thm)],[f927,f50]) ).
fof(f946,plain,
occurrence_of(sK16_skl(sK17_skl),sK6_skl(sK16_skl(sK17_skl))),
inference(resolution,[status(thm)],[f908,f128]) ).
fof(f1011,plain,
! [X0] :
( sK6_skl(sK16_skl(sK17_skl)) = X0
| ~ occurrence_of(sK16_skl(sK17_skl),X0) ),
inference(resolution,[status(thm)],[f946,f140]) ).
fof(f1042,plain,
( occurrence_of(sK16_skl(sK17_skl),tptp1)
| sK6_skl(sK16_skl(sK17_skl)) = tptp2 ),
inference(resolution,[status(thm)],[f1011,f891]) ).
fof(f1142,plain,
( sK6_skl(sK16_skl(sK17_skl)) = tptp1
| sK6_skl(sK16_skl(sK17_skl)) = tptp2 ),
inference(resolution,[status(thm)],[f1042,f1011]) ).
fof(f1244,plain,
min_precedes(sK14_skl(sK17_skl),sK16_skl(sK17_skl),tptp0),
inference(resolution,[status(thm)],[f716,f927]) ).
fof(f1255,plain,
( ~ leaf(sK16_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK17_skl),tptp1)
| ~ next_subocc(sK17_skl,sK14_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK14_skl(sK17_skl),tptp3) ),
inference(resolution,[status(thm)],[f1244,f207]) ).
fof(f1256,plain,
( ~ leaf(sK16_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK17_skl),tptp2)
| ~ next_subocc(sK17_skl,sK14_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK14_skl(sK17_skl),tptp3) ),
inference(resolution,[status(thm)],[f1244,f206]) ).
fof(f1271,plain,
( ~ leaf(sK16_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK17_skl),tptp1)
| ~ next_subocc(sK17_skl,sK14_skl(sK17_skl),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f332]) ).
fof(f1272,plain,
( ~ leaf(sK16_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK17_skl),tptp2)
| ~ next_subocc(sK17_skl,sK14_skl(sK17_skl),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f332]) ).
fof(f2873,plain,
( min_precedes(sK15_skl(sK17_skl),sK4_skl(tptp0,sK16_skl(sK17_skl)),tptp0)
| leaf(sK16_skl(sK17_skl),tptp0) ),
inference(resolution,[status(thm)],[f936,f945]) ).
fof(f3879,plain,
( next_subocc(sK15_skl(sK17_skl),sK14_skl(sK15_skl(sK17_skl)),tptp0)
| leaf_occ(sK15_skl(sK17_skl),sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0))
| ~ arboreal(sK15_skl(sK17_skl)) ),
inference(resolution,[status(thm)],[f862,f708]) ).
fof(f3881,plain,
( next_subocc(sK15_skl(sK17_skl),sK14_skl(sK15_skl(sK17_skl)),tptp0)
| leaf_occ(sK15_skl(sK17_skl),sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3879,f425]) ).
fof(f3883,plain,
( occurrence_of(sK14_skl(sK15_skl(sK17_skl)),tptp3)
| leaf_occ(sK15_skl(sK17_skl),sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0))
| ~ arboreal(sK15_skl(sK17_skl)) ),
inference(resolution,[status(thm)],[f863,f708]) ).
fof(f3885,plain,
( occurrence_of(sK14_skl(sK15_skl(sK17_skl)),tptp3)
| leaf_occ(sK15_skl(sK17_skl),sK8_skl(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3883,f425]) ).
fof(f4118,plain,
( ~ leaf(sK16_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK17_skl),tptp1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f512]) ).
fof(f4121,plain,
( ~ leaf(sK16_skl(sK17_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK17_skl),tptp2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1272,f512]) ).
fof(f4123,plain,
( occurrence_of(sK16_skl(sK17_skl),tptp1)
| ~ leaf(sK16_skl(sK17_skl),tptp0) ),
inference(resolution,[status(thm)],[f4121,f891]) ).
fof(f4124,plain,
~ leaf(sK16_skl(sK17_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f4123,f4118]) ).
fof(f4126,plain,
min_precedes(sK15_skl(sK17_skl),sK4_skl(tptp0,sK16_skl(sK17_skl)),tptp0),
inference(backward_subsumption_resolution,[status(thm)],[f2873,f4124]) ).
fof(f6889,plain,
! [X0] :
( ~ min_precedes(sK15_skl(sK17_skl),X0,tptp0)
| occurrence_of(sK14_skl(sK15_skl(sK17_skl)),tptp3) ),
inference(resolution,[status(thm)],[f3885,f870]) ).
fof(f6894,plain,
occurrence_of(sK14_skl(sK15_skl(sK17_skl)),tptp3),
inference(resolution,[status(thm)],[f6889,f4126]) ).
fof(f6906,plain,
! [X0] :
( tptp3 = X0
| ~ occurrence_of(sK14_skl(sK15_skl(sK17_skl)),X0) ),
inference(resolution,[status(thm)],[f6894,f140]) ).
fof(f6911,plain,
activity_occurrence(sK14_skl(sK15_skl(sK17_skl))),
inference(resolution,[status(thm)],[f6894,f170]) ).
fof(f6917,plain,
occurrence_of(sK14_skl(sK15_skl(sK17_skl)),sK6_skl(sK14_skl(sK15_skl(sK17_skl)))),
inference(resolution,[status(thm)],[f6911,f128]) ).
fof(f6931,plain,
tptp3 = sK6_skl(sK14_skl(sK15_skl(sK17_skl))),
inference(resolution,[status(thm)],[f6917,f6906]) ).
fof(f11858,plain,
! [X0] :
( ~ min_precedes(sK15_skl(sK17_skl),X0,tptp0)
| next_subocc(sK15_skl(sK17_skl),sK14_skl(sK15_skl(sK17_skl)),tptp0) ),
inference(resolution,[status(thm)],[f3881,f870]) ).
fof(f11864,plain,
next_subocc(sK15_skl(sK17_skl),sK14_skl(sK15_skl(sK17_skl)),tptp0),
inference(resolution,[status(thm)],[f11858,f4126]) ).
fof(f11867,plain,
! [X0] :
( ~ min_precedes(X0,sK14_skl(sK15_skl(sK17_skl)),tptp0)
| ~ min_precedes(sK15_skl(sK17_skl),X0,tptp0) ),
inference(resolution,[status(thm)],[f11864,f65]) ).
fof(f11868,plain,
min_precedes(sK15_skl(sK17_skl),sK14_skl(sK15_skl(sK17_skl)),tptp0),
inference(resolution,[status(thm)],[f11864,f64]) ).
fof(f11872,plain,
min_precedes(sK14_skl(sK17_skl),sK14_skl(sK15_skl(sK17_skl)),tptp0),
inference(resolution,[status(thm)],[f11868,f716]) ).
fof(f11950,plain,
( sK14_skl(sK15_skl(sK17_skl)) = sK16_skl(sK17_skl)
| sK14_skl(sK15_skl(sK17_skl)) = sK15_skl(sK17_skl)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl)
| ~ subactivity_occurrence(sK17_skl,sK18_skl) ),
inference(resolution,[status(thm)],[f11872,f558]) ).
fof(f11969,plain,
( sK14_skl(sK15_skl(sK17_skl)) = sK16_skl(sK17_skl)
| sK14_skl(sK15_skl(sK17_skl)) = sK15_skl(sK17_skl)
| leaf_occ(sK17_skl,sK18_skl)
| ~ arboreal(sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f11950,f203]) ).
fof(f12146,plain,
~ min_precedes(sK15_skl(sK17_skl),sK15_skl(sK17_skl),tptp0),
inference(resolution,[status(thm)],[f11867,f11868]) ).
fof(f12964,plain,
( sK14_skl(sK15_skl(sK17_skl)) = sK16_skl(sK17_skl)
| sK14_skl(sK15_skl(sK17_skl)) = sK15_skl(sK17_skl)
| leaf_occ(sK17_skl,sK18_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f11969,f204]) ).
fof(f12965,plain,
( sK14_skl(sK15_skl(sK17_skl)) = sK16_skl(sK17_skl)
| sK14_skl(sK15_skl(sK17_skl)) = sK15_skl(sK17_skl) ),
inference(resolution,[status(thm)],[f12964,f205]) ).
fof(f13211,plain,
( sK14_skl(sK15_skl(sK17_skl)) = sK16_skl(sK17_skl)
| min_precedes(sK15_skl(sK17_skl),sK15_skl(sK17_skl),tptp0) ),
inference(paramodulation,[status(thm)],[f12965,f11868]) ).
fof(f13238,plain,
sK14_skl(sK15_skl(sK17_skl)) = sK16_skl(sK17_skl),
inference(forward_subsumption_resolution,[status(thm)],[f13211,f12146]) ).
fof(f13490,plain,
tptp3 = sK6_skl(sK16_skl(sK17_skl)),
inference(backward_demodulation,[status(thm)],[f13238,f6931]) ).
fof(f13829,plain,
( tptp3 = tptp1
| sK6_skl(sK16_skl(sK17_skl)) = tptp2 ),
inference(backward_demodulation,[status(thm)],[f13490,f1142]) ).
fof(f14047,plain,
( tptp3 = tptp1
| tptp3 = tptp2 ),
inference(forward_demodulation,[status(thm)],[f13490,f13829]) ).
fof(f14048,plain,
tptp3 = tptp1,
inference(forward_subsumption_resolution,[status(thm)],[f14047,f196]) ).
fof(f14055,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14048,f197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO017+2 : 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
% 0.02/0.35 % CPULimit : 300
% 0.02/0.35 % WCLimit : 300
% 0.02/0.35 % DateTime : Mon Sep 21 03:43:35 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 14.27/2.24 % Refutation found
% 14.27/2.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.27/2.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.27/2.29 % Elapsed time: 1.913042 seconds
% 14.27/2.29 % CPU time: 14.889557 seconds
% 14.27/2.29 % Total memory used: 188.521 MB
% 14.27/2.29 % Net memory used: 179.166 MB
%------------------------------------------------------------------------------