%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 54.86s 7.33s
% Output : CNFRefutation 54.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 26
% Syntax : Number of formulae : 199 ( 45 unt; 0 def)
% Number of atoms : 594 ( 45 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 664 ( 269 ~; 277 |; 94 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 381 ( 350 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X2] :
( activity_occurrence(X2)
=> ? [X3] :
( occurrence_of(X2,X3)
& activity(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X21,X22] :
( precedes(X21,X22)
<=> ( legal(X22)
& earlier(X21,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X38,X39,X40] :
( min_precedes(X38,X39,X40)
=> precedes(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X41,X42] :
( root(X41,X42)
=> legal(X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ~ ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X73,X74] :
( ( ~ atomic(X73)
& root(X74,X73) )
=> ? [X75] :
( subactivity_occurrence(X74,X75)
& occurrence_of(X75,X73) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X76,X77] :
( ( ~ atomic(X76)
& occurrence_of(X77,X76) )
=> ? [X78] :
( subactivity_occurrence(X78,X77)
& root(X78,X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X99,X100] :
( root_occ(X99,X100)
<=> ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X105,X106,X107,X108] :
( ( root_occ(X106,X107)
& root_occ(X105,X107)
& occurrence_of(X107,X108) )
=> X105 = X106 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X109,X110,X111,X112] :
( ( leaf_occ(X110,X111)
& leaf_occ(X109,X111)
& ~ atomic(X112)
& occurrence_of(X111,X112) )
=> X109 = X110 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X113,X114,X115] :
( ( leaf_occ(X114,X113)
& occurrence_of(X113,X115) )
=> ~ ? [X116] : min_precedes(X114,X116,X115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X117,X118,X119] :
( ( root_occ(X118,X117)
& occurrence_of(X117,X119) )
=> ~ ? [X120] : min_precedes(X120,X118,X119) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X148,X149,X150] :
( min_precedes(X148,X149,X150)
=> arboreal(X148) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163] :
( next_subocc(X162,X163,tptp0)
& leaf_occ(X163,X161)
& occurrence_of(X163,tptp3)
& root_occ(X162,X161)
& occurrence_of(X162,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [X164,X165] :
( ( ~ leaf_occ(X164,X165)
& arboreal(X164)
& subactivity_occurrence(X164,X165)
& occurrence_of(X165,tptp0) )
=> root_occ(X164,X165) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [X168,X169] :
( ( ~ leaf_occ(X168,X169)
& arboreal(X168)
& subactivity_occurrence(X168,X169)
& occurrence_of(X169,tptp0) )
=> ? [X170] :
( next_subocc(X168,X170,tptp0)
& occurrence_of(X170,tptp1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,conjecture,
~ ? [X171] : occurrence_of(X171,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ ~ ? [X171] : occurrence_of(X171,tptp0),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity(X0) )
| ~ occurrence_of(X1,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f70,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f71,plain,
! [X2] :
( ? [X3] :
( occurrence_of(X2,X3)
& activity(X3) )
| ~ activity_occurrence(X2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
! [X2] :
( ( occurrence_of(X2,sK0_skl(X2))
& activity(sK0_skl(X2)) )
| ~ activity_occurrence(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X3,sK0_skl(X2))],[f71]) ).
fof(f74,plain,
! [X0] :
( occurrence_of(X0,sK0_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f75,plain,
! [X4,X5,X6] :
( X5 = X6
| ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
! [X5,X6] :
( X5 = X6
| ! [X4] :
( ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f92,plain,
! [X18] :
( arboreal(X18)
| ~ legal(X18) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f93,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f97,plain,
! [X21,X22] :
( ( ~ legal(X22)
| ~ earlier(X21,X22)
| precedes(X21,X22) )
& ( ( legal(X22)
& earlier(X21,X22) )
| ~ precedes(X21,X22) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f98,plain,
( ! [X21,X22] :
( ~ legal(X22)
| ~ earlier(X21,X22)
| precedes(X21,X22) )
& ! [X21,X22] :
( ( legal(X22)
& earlier(X21,X22) )
| ~ precedes(X21,X22) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f100,plain,
! [X0,X1] :
( legal(X1)
| ~ precedes(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f113,plain,
! [X31,X32,X33] :
( ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) )
| ~ min_precedes(X31,X32,X33) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f114,plain,
! [X32,X33] :
( ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) )
| ! [X31] : ~ min_precedes(X31,X32,X33) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f115,plain,
! [X32,X33] :
( ( min_precedes(sK4_skl(X33,X32),X32,X33)
& root(sK4_skl(X33,X32),X33) )
| ! [X31] : ~ min_precedes(X31,X32,X33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X34,sK4_skl(X33,X32))],[f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( root(sK4_skl(X2,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2] :
( min_precedes(sK4_skl(X2,X1),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f121,plain,
! [X38,X39,X40] :
( precedes(X38,X39)
| ~ min_precedes(X38,X39,X40) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f122,plain,
! [X38,X39] :
( precedes(X38,X39)
| ! [X40] : ~ min_precedes(X38,X39,X40) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
! [X41,X42] :
( legal(X41)
| ~ root(X41,X42) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f125,plain,
! [X41] :
( legal(X41)
| ! [X42] : ~ root(X41,X42) ),
inference(miniscoping,[status(thm)],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f146,plain,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ! [X63] :
( ~ min_precedes(X63,X61,X62)
| ~ min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f147,plain,
! [X60,X61,X62] :
( ( ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
| ~ min_precedes(X60,X61,X62)
| next_subocc(X60,X61,X62) )
& ( ( ! [X63] :
( ~ min_precedes(X63,X61,X62)
| ~ min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) )
| ~ next_subocc(X60,X61,X62) ) ),
inference(NNF_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( ! [X60,X61,X62] :
( ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
| ~ min_precedes(X60,X61,X62)
| next_subocc(X60,X61,X62) )
& ! [X60,X61,X62] :
( ( ! [X63] :
( ~ min_precedes(X63,X61,X62)
| ~ min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) )
| ~ next_subocc(X60,X61,X62) ) ),
inference(miniscoping,[status(thm)],[f147]) ).
fof(f149,plain,
( ! [X60,X61,X62] :
( ( min_precedes(sK7_skl(X62,X61,X60),X61,X62)
& min_precedes(X60,sK7_skl(X62,X61,X60),X62) )
| ~ min_precedes(X60,X61,X62)
| next_subocc(X60,X61,X62) )
& ! [X60,X61,X62] :
( ( ! [X63] :
( ~ min_precedes(X63,X61,X62)
| ~ min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) )
| ~ next_subocc(X60,X61,X62) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X63,sK7_skl(X62,X61,X60))],[f148]) ).
fof(f150,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f164,plain,
! [X69,X70,X71] :
( ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) )
| ~ min_precedes(X70,X71,X69) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f165,plain,
! [X69,X70,X71] :
( ( subactivity_occurrence(X71,sK9_skl(X71,X70,X69))
& subactivity_occurrence(X70,sK9_skl(X71,X70,X69))
& occurrence_of(sK9_skl(X71,X70,X69),X69) )
| ~ min_precedes(X70,X71,X69) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(X72,sK9_skl(X71,X70,X69))],[f164]) ).
fof(f166,plain,
! [X0,X1,X2] :
( occurrence_of(sK9_skl(X1,X0,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f168,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X1,sK9_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,plain,
! [X73,X74] :
( ? [X75] :
( subactivity_occurrence(X74,X75)
& occurrence_of(X75,X73) )
| atomic(X73)
| ~ root(X74,X73) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f170,plain,
! [X73,X74] :
( ( subactivity_occurrence(X74,sK10_skl(X74,X73))
& occurrence_of(sK10_skl(X74,X73),X73) )
| atomic(X73)
| ~ root(X74,X73) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(X75,sK10_skl(X74,X73))],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( occurrence_of(sK10_skl(X0,X1),X1)
| atomic(X1)
| ~ root(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
! [X0,X1] :
( subactivity_occurrence(X0,sK10_skl(X0,X1))
| atomic(X1)
| ~ root(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f173,plain,
! [X76,X77] :
( ? [X78] :
( subactivity_occurrence(X78,X77)
& root(X78,X76) )
| atomic(X76)
| ~ occurrence_of(X77,X76) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f174,plain,
! [X76,X77] :
( ( subactivity_occurrence(sK11_skl(X77,X76),X77)
& root(sK11_skl(X77,X76),X76) )
| atomic(X76)
| ~ occurrence_of(X77,X76) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(X78,sK11_skl(X77,X76))],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( root(sK11_skl(X0,X1),X1)
| atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( subactivity_occurrence(sK11_skl(X0,X1),X0)
| atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f180,plain,
! [X83,X84,X85,X86] :
( subactivity_occurrence(X83,X86)
| ~ subactivity_occurrence(X84,X86)
| ~ occurrence_of(X86,X85)
| ~ min_precedes(X83,X84,X85) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f181,plain,
! [X83,X86] :
( subactivity_occurrence(X83,X86)
| ! [X84] :
( ~ subactivity_occurrence(X84,X86)
| ! [X85] :
( ~ occurrence_of(X86,X85)
| ~ min_precedes(X83,X84,X85) ) ) ),
inference(miniscoping,[status(thm)],[f180]) ).
fof(f182,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)],[f181]) ).
fof(f194,plain,
! [X99,X100] :
( ( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ( ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) )
| ~ root_occ(X99,X100) ) ),
inference(NNF_transformation,[status(thm)],[f34]) ).
fof(f195,plain,
( ! [X99,X100] :
( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ! [X99,X100] :
( ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) )
| ~ root_occ(X99,X100) ) ),
inference(miniscoping,[status(thm)],[f194]) ).
fof(f196,plain,
( ! [X99,X100] :
( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ! [X99,X100] :
( ( root(X99,sK13_skl(X100,X99))
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,sK13_skl(X100,X99)) )
| ~ root_occ(X99,X100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(X101,sK13_skl(X100,X99))],[f195]) ).
fof(f197,plain,
! [X0,X1] :
( occurrence_of(X1,sK13_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f199,plain,
! [X0,X1] :
( root(X0,sK13_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f201,plain,
! [X102,X103] :
( ( ! [X104] :
( ~ leaf(X102,X104)
| ~ subactivity_occurrence(X102,X103)
| ~ occurrence_of(X103,X104) )
| leaf_occ(X102,X103) )
& ( ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) )
| ~ leaf_occ(X102,X103) ) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f202,plain,
( ! [X102,X103] :
( ! [X104] :
( ~ leaf(X102,X104)
| ~ subactivity_occurrence(X102,X103)
| ~ occurrence_of(X103,X104) )
| leaf_occ(X102,X103) )
& ! [X102,X103] :
( ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) )
| ~ leaf_occ(X102,X103) ) ),
inference(miniscoping,[status(thm)],[f201]) ).
fof(f203,plain,
( ! [X102,X103] :
( ! [X104] :
( ~ leaf(X102,X104)
| ~ subactivity_occurrence(X102,X103)
| ~ occurrence_of(X103,X104) )
| leaf_occ(X102,X103) )
& ! [X102,X103] :
( ( leaf(X102,sK14_skl(X103,X102))
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,sK14_skl(X103,X102)) )
| ~ leaf_occ(X102,X103) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(X104,sK14_skl(X103,X102))],[f202]) ).
fof(f205,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f208,plain,
! [X105,X106,X107,X108] :
( X105 = X106
| ~ root_occ(X106,X107)
| ~ root_occ(X105,X107)
| ~ occurrence_of(X107,X108) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f209,plain,
! [X105,X106] :
( X105 = X106
| ! [X107] :
( ~ root_occ(X106,X107)
| ~ root_occ(X105,X107)
| ! [X108] : ~ occurrence_of(X107,X108) ) ),
inference(miniscoping,[status(thm)],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ root_occ(X3,X0)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
! [X109,X110,X111,X112] :
( X109 = X110
| ~ leaf_occ(X110,X111)
| ~ leaf_occ(X109,X111)
| atomic(X112)
| ~ occurrence_of(X111,X112) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f212,plain,
! [X109,X110] :
( X109 = X110
| ! [X111] :
( ~ leaf_occ(X110,X111)
| ~ leaf_occ(X109,X111)
| ! [X112] :
( atomic(X112)
| ~ occurrence_of(X111,X112) ) ) ),
inference(miniscoping,[status(thm)],[f211]) ).
fof(f213,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ leaf_occ(X3,X0)
| ~ leaf_occ(X2,X0)
| atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
! [X113,X114,X115] :
( ! [X116] : ~ min_precedes(X114,X116,X115)
| ~ leaf_occ(X114,X113)
| ~ occurrence_of(X113,X115) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f215,plain,
! [X114,X115] :
( ! [X116] : ~ min_precedes(X114,X116,X115)
| ! [X113] :
( ~ leaf_occ(X114,X113)
| ~ occurrence_of(X113,X115) ) ),
inference(miniscoping,[status(thm)],[f214]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X2,X3,X1)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
! [X117,X118,X119] :
( ! [X120] : ~ min_precedes(X120,X118,X119)
| ~ root_occ(X118,X117)
| ~ occurrence_of(X117,X119) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f218,plain,
! [X118,X119] :
( ! [X120] : ~ min_precedes(X120,X118,X119)
| ! [X117] :
( ~ root_occ(X118,X117)
| ~ occurrence_of(X117,X119) ) ),
inference(miniscoping,[status(thm)],[f217]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X3,X2,X1)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f243,plain,
! [X148,X149,X150] :
( arboreal(X148)
| ~ min_precedes(X148,X149,X150) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f244,plain,
! [X148] :
( arboreal(X148)
| ! [X149,X150] : ~ min_precedes(X148,X149,X150) ),
inference(miniscoping,[status(thm)],[f243]) ).
fof(f245,plain,
! [X0,X1,X2] :
( arboreal(X0)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f252,plain,
! [X161] :
( ? [X162,X163] :
( next_subocc(X162,X163,tptp0)
& leaf_occ(X163,X161)
& occurrence_of(X163,tptp3)
& root_occ(X162,X161)
& occurrence_of(X162,tptp4) )
| ~ occurrence_of(X161,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f253,plain,
! [X161] :
( ( next_subocc(sK16_skl(X161),sK17_skl(X161),tptp0)
& leaf_occ(sK17_skl(X161),X161)
& occurrence_of(sK17_skl(X161),tptp3)
& root_occ(sK16_skl(X161),X161)
& occurrence_of(sK16_skl(X161),tptp4) )
| ~ occurrence_of(X161,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl]),skolemize(X162,sK16_skl(X161)),skolemize(X163,sK17_skl(X161))],[f252]) ).
fof(f255,plain,
! [X0] :
( root_occ(sK16_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,plain,
! [X0] :
( occurrence_of(sK17_skl(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f257,plain,
! [X0] :
( leaf_occ(sK17_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f258,plain,
! [X0] :
( next_subocc(sK16_skl(X0),sK17_skl(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f260,plain,
~ atomic(tptp0),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f268,plain,
tptp1 != tptp3,
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f271,plain,
! [X164,X165] :
( root_occ(X164,X165)
| leaf_occ(X164,X165)
| ~ arboreal(X164)
| ~ subactivity_occurrence(X164,X165)
| ~ occurrence_of(X165,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f63]) ).
fof(f272,plain,
! [X0,X1] :
( root_occ(X1,X0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f275,plain,
! [X168,X169] :
( ? [X170] :
( next_subocc(X168,X170,tptp0)
& occurrence_of(X170,tptp1) )
| leaf_occ(X168,X169)
| ~ arboreal(X168)
| ~ subactivity_occurrence(X168,X169)
| ~ occurrence_of(X169,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f276,plain,
! [X168] :
( ? [X170] :
( next_subocc(X168,X170,tptp0)
& occurrence_of(X170,tptp1) )
| ! [X169] :
( leaf_occ(X168,X169)
| ~ arboreal(X168)
| ~ subactivity_occurrence(X168,X169)
| ~ occurrence_of(X169,tptp0) ) ),
inference(miniscoping,[status(thm)],[f275]) ).
fof(f277,plain,
! [X168] :
( ( next_subocc(X168,sK18_skl(X168),tptp0)
& occurrence_of(sK18_skl(X168),tptp1) )
| ! [X169] :
( leaf_occ(X168,X169)
| ~ arboreal(X168)
| ~ subactivity_occurrence(X168,X169)
| ~ occurrence_of(X169,tptp0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl]),skolemize(X170,sK18_skl(X168))],[f276]) ).
fof(f278,plain,
! [X0,X1] :
( occurrence_of(sK18_skl(X1),tptp1)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f279,plain,
! [X0,X1] :
( next_subocc(X1,sK18_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f280,plain,
occurrence_of(sK19_skl,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(X171,sK19_skl)],[f67]) ).
fof(f281,plain,
occurrence_of(sK19_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f282,plain,
! [X0] :
( X0 = tptp0
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f77,f281]) ).
fof(f285,plain,
! [X0,X1] :
( X1 = sK0_skl(X0)
| ~ occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(resolution,[status(thm)],[f74,f77]) ).
fof(f286,plain,
! [X0,X1] :
( X1 = sK0_skl(X0)
| ~ occurrence_of(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f285,f70]) ).
fof(f303,plain,
root_occ(sK16_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f255,f281]) ).
fof(f304,plain,
root(sK16_skl(sK19_skl),sK13_skl(sK19_skl,sK16_skl(sK19_skl))),
inference(resolution,[status(thm)],[f303,f199]) ).
fof(f305,plain,
occurrence_of(sK19_skl,sK13_skl(sK19_skl,sK16_skl(sK19_skl))),
inference(resolution,[status(thm)],[f303,f197]) ).
fof(f306,plain,
subactivity_occurrence(sK16_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f303,f198]) ).
fof(f308,plain,
leaf_occ(sK17_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f257,f281]) ).
fof(f311,plain,
subactivity_occurrence(sK17_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f308,f205]) ).
fof(f313,plain,
sK13_skl(sK19_skl,sK16_skl(sK19_skl)) = tptp0,
inference(resolution,[status(thm)],[f305,f282]) ).
fof(f323,plain,
root(sK16_skl(sK19_skl),tptp0),
inference(forward_demodulation,[status(thm)],[f313,f304]) ).
fof(f325,plain,
legal(sK16_skl(sK19_skl)),
inference(resolution,[status(thm)],[f323,f126]) ).
fof(f329,plain,
arboreal(sK16_skl(sK19_skl)),
inference(resolution,[status(thm)],[f325,f93]) ).
fof(f331,plain,
! [X0] :
( root_occ(sK16_skl(sK19_skl),X0)
| leaf_occ(sK16_skl(sK19_skl),X0)
| ~ subactivity_occurrence(sK16_skl(sK19_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f329,f272]) ).
fof(f381,plain,
! [X0] :
( occurrence_of(sK10_skl(X0,tptp0),tptp0)
| ~ root(X0,tptp0) ),
inference(resolution,[status(thm)],[f171,f260]) ).
fof(f382,plain,
! [X0] :
( subactivity_occurrence(X0,sK10_skl(X0,tptp0))
| ~ root(X0,tptp0) ),
inference(resolution,[status(thm)],[f172,f260]) ).
fof(f384,plain,
! [X0] :
( root(sK11_skl(X0,tptp0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f175,f260]) ).
fof(f385,plain,
! [X0] :
( subactivity_occurrence(sK11_skl(X0,tptp0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f176,f260]) ).
fof(f413,plain,
occurrence_of(sK10_skl(sK16_skl(sK19_skl),tptp0),tptp0),
inference(resolution,[status(thm)],[f381,f323]) ).
fof(f426,plain,
root(sK11_skl(sK19_skl,tptp0),tptp0),
inference(resolution,[status(thm)],[f384,f281]) ).
fof(f427,plain,
occurrence_of(sK10_skl(sK11_skl(sK19_skl,tptp0),tptp0),tptp0),
inference(resolution,[status(thm)],[f426,f381]) ).
fof(f560,plain,
next_subocc(sK16_skl(sK19_skl),sK17_skl(sK19_skl),tptp0),
inference(resolution,[status(thm)],[f258,f281]) ).
fof(f563,plain,
min_precedes(sK16_skl(sK19_skl),sK17_skl(sK19_skl),tptp0),
inference(resolution,[status(thm)],[f560,f150]) ).
fof(f574,plain,
! [X0] :
( ~ leaf_occ(sK16_skl(sK19_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f563,f216]) ).
fof(f578,plain,
min_precedes(sK4_skl(tptp0,sK17_skl(sK19_skl)),sK17_skl(sK19_skl),tptp0),
inference(resolution,[status(thm)],[f563,f117]) ).
fof(f579,plain,
root(sK4_skl(tptp0,sK17_skl(sK19_skl)),tptp0),
inference(resolution,[status(thm)],[f563,f116]) ).
fof(f599,plain,
! [X0] :
( root_occ(sK16_skl(sK19_skl),X0)
| ~ subactivity_occurrence(sK16_skl(sK19_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(backward_subsumption_resolution,[status(thm)],[f331,f574]) ).
fof(f659,plain,
! [X0,X1,X2,X3,X4] :
( X4 = X2
| ~ root_occ(X4,X0)
| ~ occurrence_of(X0,X3)
| ~ root(X2,X1)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(resolution,[status(thm)],[f200,f210]) ).
fof(f709,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ leaf_occ(X2,X0)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f213,f260]) ).
fof(f1049,plain,
! [X0,X1] :
( tptp1 = sK0_skl(sK18_skl(X1))
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f278,f286]) ).
fof(f1057,plain,
! [X0] :
( next_subocc(X0,sK18_skl(X0),tptp0)
| leaf_occ(X0,sK19_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK19_skl) ),
inference(resolution,[status(thm)],[f279,f281]) ).
fof(f1079,plain,
! [X0] :
( min_precedes(X0,sK18_skl(X0),tptp0)
| leaf_occ(X0,sK19_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK19_skl) ),
inference(resolution,[status(thm)],[f1057,f150]) ).
fof(f1119,plain,
! [X0] :
( tptp1 = sK0_skl(sK18_skl(X0))
| leaf_occ(X0,sK10_skl(sK11_skl(sK19_skl,tptp0),tptp0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK10_skl(sK11_skl(sK19_skl,tptp0),tptp0)) ),
inference(resolution,[status(thm)],[f1049,f427]) ).
fof(f1141,plain,
! [X0,X1,X2] :
( sK16_skl(sK19_skl) = X1
| ~ occurrence_of(sK19_skl,X2)
| ~ root(X1,X0)
| ~ subactivity_occurrence(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f659,f303]) ).
fof(f1197,plain,
( root_occ(sK16_skl(sK19_skl),sK10_skl(sK16_skl(sK19_skl),tptp0))
| ~ subactivity_occurrence(sK16_skl(sK19_skl),sK10_skl(sK16_skl(sK19_skl),tptp0)) ),
inference(resolution,[status(thm)],[f599,f413]) ).
fof(f1524,plain,
( min_precedes(sK16_skl(sK19_skl),sK18_skl(sK16_skl(sK19_skl)),tptp0)
| leaf_occ(sK16_skl(sK19_skl),sK19_skl)
| ~ arboreal(sK16_skl(sK19_skl)) ),
inference(resolution,[status(thm)],[f1079,f306]) ).
fof(f1527,plain,
! [X0,X1,X2] :
( ~ subactivity_occurrence(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X2)
| ~ min_precedes(X0,X1,X2)
| min_precedes(X0,sK18_skl(X0),tptp0)
| leaf_occ(X0,sK19_skl)
| ~ arboreal(X0) ),
inference(resolution,[status(thm)],[f1079,f182]) ).
fof(f1530,plain,
( min_precedes(sK16_skl(sK19_skl),sK18_skl(sK16_skl(sK19_skl)),tptp0)
| leaf_occ(sK16_skl(sK19_skl),sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1524,f329]) ).
fof(f1532,plain,
! [X0,X1,X2] :
( ~ subactivity_occurrence(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X2)
| ~ min_precedes(X0,X1,X2)
| min_precedes(X0,sK18_skl(X0),tptp0)
| leaf_occ(X0,sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1527,f245]) ).
fof(f1699,plain,
! [X0,X1] :
( sK16_skl(sK19_skl) = X1
| ~ root(X1,X0)
| ~ subactivity_occurrence(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f1141,f281]) ).
fof(f1703,plain,
! [X0] :
( sK16_skl(sK19_skl) = X0
| ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK19_skl) ),
inference(resolution,[status(thm)],[f1699,f281]) ).
fof(f1709,plain,
( ~ occurrence_of(sK19_skl,tptp0)
| sK16_skl(sK19_skl) = sK11_skl(sK19_skl,tptp0)
| ~ root(sK11_skl(sK19_skl,tptp0),tptp0) ),
inference(resolution,[status(thm)],[f1703,f385]) ).
fof(f1714,plain,
! [X0,X1,X2] :
( ~ subactivity_occurrence(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X2)
| ~ min_precedes(X0,X1,X2)
| sK16_skl(sK19_skl) = X0
| ~ root(X0,tptp0) ),
inference(resolution,[status(thm)],[f1703,f182]) ).
fof(f1716,plain,
( ~ occurrence_of(sK19_skl,tptp0)
| sK16_skl(sK19_skl) = sK11_skl(sK19_skl,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1709,f384]) ).
fof(f1747,plain,
sK16_skl(sK19_skl) = sK11_skl(sK19_skl,tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f1716,f281]) ).
fof(f2076,plain,
( ~ occurrence_of(sK19_skl,tptp0)
| min_precedes(sK16_skl(sK19_skl),sK18_skl(sK16_skl(sK19_skl)),tptp0) ),
inference(resolution,[status(thm)],[f1530,f574]) ).
fof(f2087,plain,
min_precedes(sK16_skl(sK19_skl),sK18_skl(sK16_skl(sK19_skl)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f2076,f281]) ).
fof(f2101,plain,
subactivity_occurrence(sK18_skl(sK16_skl(sK19_skl)),sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0)),
inference(resolution,[status(thm)],[f2087,f168]) ).
fof(f2103,plain,
occurrence_of(sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0),tptp0),
inference(resolution,[status(thm)],[f2087,f166]) ).
fof(f2173,plain,
occurrence_of(sK17_skl(sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0)),tptp3),
inference(resolution,[status(thm)],[f2103,f256]) ).
fof(f2175,plain,
leaf_occ(sK17_skl(sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0)),sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0)),
inference(resolution,[status(thm)],[f2103,f257]) ).
fof(f2293,plain,
tptp3 = sK0_skl(sK17_skl(sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0))),
inference(resolution,[status(thm)],[f2173,f286]) ).
fof(f3821,plain,
! [X0,X1,X2] :
( ~ subactivity_occurrence(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X2)
| ~ min_precedes(X0,X1,X2)
| min_precedes(X0,sK18_skl(X0),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f216]) ).
fof(f3822,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X1,sK19_skl)
| ~ min_precedes(X0,X1,tptp0)
| min_precedes(X0,sK18_skl(X0),tptp0) ),
inference(resolution,[status(thm)],[f3821,f281]) ).
fof(f3868,plain,
! [X0] :
( ~ min_precedes(X0,sK17_skl(sK19_skl),tptp0)
| min_precedes(X0,sK18_skl(X0),tptp0) ),
inference(resolution,[status(thm)],[f3822,f311]) ).
fof(f3876,plain,
min_precedes(sK4_skl(tptp0,sK17_skl(sK19_skl)),sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),tptp0),
inference(resolution,[status(thm)],[f3868,f578]) ).
fof(f3937,plain,
! [X0] :
( ~ root_occ(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f3876,f219]) ).
fof(f3946,plain,
precedes(sK4_skl(tptp0,sK17_skl(sK19_skl)),sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl)))),
inference(resolution,[status(thm)],[f3876,f123]) ).
fof(f3981,plain,
legal(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl)))),
inference(resolution,[status(thm)],[f3946,f100]) ).
fof(f3985,plain,
arboreal(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl)))),
inference(resolution,[status(thm)],[f3981,f93]) ).
fof(f3990,plain,
! [X0] :
( root_occ(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),X0)
| leaf_occ(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),X0)
| ~ subactivity_occurrence(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f3985,f272]) ).
fof(f3991,plain,
! [X0] :
( leaf_occ(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),X0)
| ~ subactivity_occurrence(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3990,f3937]) ).
fof(f4422,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X1,sK19_skl)
| ~ min_precedes(X0,X1,tptp0)
| sK16_skl(sK19_skl) = X0
| ~ root(X0,tptp0) ),
inference(resolution,[status(thm)],[f1714,f281]) ).
fof(f4429,plain,
! [X0] :
( ~ min_precedes(X0,sK17_skl(sK19_skl),tptp0)
| sK16_skl(sK19_skl) = X0
| ~ root(X0,tptp0) ),
inference(resolution,[status(thm)],[f4422,f311]) ).
fof(f4437,plain,
( sK16_skl(sK19_skl) = sK4_skl(tptp0,sK17_skl(sK19_skl))
| ~ root(sK4_skl(tptp0,sK17_skl(sK19_skl)),tptp0) ),
inference(resolution,[status(thm)],[f4429,f578]) ).
fof(f4440,plain,
sK16_skl(sK19_skl) = sK4_skl(tptp0,sK17_skl(sK19_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f4437,f579]) ).
fof(f6070,plain,
( ~ root(sK16_skl(sK19_skl),tptp0)
| root_occ(sK16_skl(sK19_skl),sK10_skl(sK16_skl(sK19_skl),tptp0)) ),
inference(resolution,[status(thm)],[f1197,f382]) ).
fof(f6075,plain,
root_occ(sK16_skl(sK19_skl),sK10_skl(sK16_skl(sK19_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f6070,f323]) ).
fof(f6086,plain,
subactivity_occurrence(sK16_skl(sK19_skl),sK10_skl(sK16_skl(sK19_skl),tptp0)),
inference(resolution,[status(thm)],[f6075,f198]) ).
fof(f7750,plain,
! [X0] :
( tptp1 = sK0_skl(sK18_skl(X0))
| leaf_occ(X0,sK10_skl(sK11_skl(sK19_skl,tptp0),tptp0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK10_skl(sK16_skl(sK19_skl),tptp0)) ),
inference(forward_demodulation,[status(thm)],[f1747,f1119]) ).
fof(f7751,plain,
! [X0] :
( tptp1 = sK0_skl(sK18_skl(X0))
| leaf_occ(X0,sK10_skl(sK16_skl(sK19_skl),tptp0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK10_skl(sK16_skl(sK19_skl),tptp0)) ),
inference(forward_demodulation,[status(thm)],[f1747,f7750]) ).
fof(f7755,plain,
( tptp1 = sK0_skl(sK18_skl(sK16_skl(sK19_skl)))
| leaf_occ(sK16_skl(sK19_skl),sK10_skl(sK16_skl(sK19_skl),tptp0))
| ~ arboreal(sK16_skl(sK19_skl)) ),
inference(resolution,[status(thm)],[f7751,f6086]) ).
fof(f7762,plain,
( tptp1 = sK0_skl(sK18_skl(sK16_skl(sK19_skl)))
| leaf_occ(sK16_skl(sK19_skl),sK10_skl(sK16_skl(sK19_skl),tptp0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f7755,f329]) ).
fof(f7767,plain,
( ~ occurrence_of(sK10_skl(sK16_skl(sK19_skl),tptp0),tptp0)
| tptp1 = sK0_skl(sK18_skl(sK16_skl(sK19_skl))) ),
inference(resolution,[status(thm)],[f7762,f574]) ).
fof(f7777,plain,
tptp1 = sK0_skl(sK18_skl(sK16_skl(sK19_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f7767,f413]) ).
fof(f10287,plain,
! [X0] :
( leaf_occ(sK18_skl(sK4_skl(tptp0,sK17_skl(sK19_skl))),X0)
| ~ subactivity_occurrence(sK18_skl(sK16_skl(sK19_skl)),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_demodulation,[status(thm)],[f4440,f3991]) ).
fof(f10288,plain,
! [X0] :
( leaf_occ(sK18_skl(sK16_skl(sK19_skl)),X0)
| ~ subactivity_occurrence(sK18_skl(sK16_skl(sK19_skl)),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_demodulation,[status(thm)],[f4440,f10287]) ).
fof(f10290,plain,
( leaf_occ(sK18_skl(sK16_skl(sK19_skl)),sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0))
| ~ occurrence_of(sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f10288,f2101]) ).
fof(f10297,plain,
leaf_occ(sK18_skl(sK16_skl(sK19_skl)),sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f10290,f2103]) ).
fof(f10305,plain,
! [X0] :
( X0 = sK18_skl(sK16_skl(sK19_skl))
| ~ leaf_occ(X0,sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0))
| ~ occurrence_of(sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f10297,f709]) ).
fof(f10311,plain,
! [X0] :
( X0 = sK18_skl(sK16_skl(sK19_skl))
| ~ leaf_occ(X0,sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f10305,f2103]) ).
fof(f11973,plain,
sK17_skl(sK9_skl(sK18_skl(sK16_skl(sK19_skl)),sK16_skl(sK19_skl),tptp0)) = sK18_skl(sK16_skl(sK19_skl)),
inference(resolution,[status(thm)],[f2175,f10311]) ).
fof(f11990,plain,
tptp3 = sK0_skl(sK18_skl(sK16_skl(sK19_skl))),
inference(backward_demodulation,[status(thm)],[f11973,f2293]) ).
fof(f11992,plain,
tptp1 = tptp3,
inference(backward_demodulation,[status(thm)],[f11990,f7777]) ).
fof(f11996,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f11992,f268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 03:40:49 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 54.86/7.33 % Refutation found
% 54.86/7.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 54.86/7.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.37/7.43 % Elapsed time: 7.065019 seconds
% 5.37/7.43 % CPU time: 55.540522 seconds
% 5.37/7.43 % Total memory used: 371.639 MB
% 5.37/7.43 % Net memory used: 348.124 MB
%------------------------------------------------------------------------------