%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO014+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:18 PM UTC 2026
% Result : Theorem 4.69s 1.09s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 174 ( 37 unt; 0 def)
% Number of atoms : 618 ( 24 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 711 ( 267 ~; 289 |; 133 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 337 ( 294 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X2] :
( activity_occurrence(X2)
=> ? [X3] :
( occurrence_of(X2,X3)
& activity(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X10,X11,X12] :
( ( earlier(X11,X12)
& earlier(X10,X11) )
=> earlier(X10,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X19,X20] :
( ( earlier(X20,X19)
& legal(X19) )
=> legal(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X21,X22] :
( precedes(X21,X22)
<=> ( legal(X22)
& earlier(X21,X22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X23,X24,X25] :
( min_precedes(X24,X25,X23)
=> ? [X26,X27] :
( atocc(X25,X27)
& atocc(X24,X26)
& subactivity(X27,X23)
& subactivity(X26,X23) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X38,X39,X40] :
( min_precedes(X38,X39,X40)
=> precedes(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X45,X46,X47,X48] :
( ( precedes(X46,X47)
& min_precedes(X45,X47,X48)
& min_precedes(X45,X46,X48) )
=> min_precedes(X46,X47,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ~ ? [X59] : min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X64,X65] :
( atocc(X64,X65)
<=> ? [X66] :
( occurrence_of(X64,X66)
& atomic(X66)
& subactivity(X65,X66) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X79,X80,X81,X82] :
( ( subactivity_occurrence(X82,X80)
& subactivity_occurrence(X81,X80)
& arboreal(X82)
& arboreal(X81)
& occurrence_of(X80,X79) )
=> ( X81 = X82
| min_precedes(X82,X81,X79)
| min_precedes(X81,X82,X79) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X105,X106] :
( ( ~ leaf_occ(X105,X106)
& arboreal(X105)
& subactivity_occurrence(X105,X106)
& occurrence_of(X106,tptp0) )
=> ? [X107,X108,X109] :
( leaf(X109,tptp0)
& next_subocc(X108,X109,tptp0)
& ( occurrence_of(X109,tptp1)
| occurrence_of(X109,tptp2) )
& next_subocc(X107,X108,tptp0)
& occurrence_of(X108,tptp4)
& next_subocc(X105,X107,tptp0)
& occurrence_of(X107,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,conjecture,
! [X110,X111] :
( ( ~ leaf_occ(X110,X111)
& arboreal(X110)
& subactivity_occurrence(X110,X111)
& occurrence_of(X111,tptp0) )
=> ? [X112,X113] :
( leaf(X113,tptp0)
& min_precedes(X112,X113,tptp0)
& ( occurrence_of(X113,tptp1)
| occurrence_of(X113,tptp2) )
& next_subocc(X110,X112,tptp0)
& occurrence_of(X112,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
~ ! [X110,X111] :
( ( ~ leaf_occ(X110,X111)
& arboreal(X110)
& subactivity_occurrence(X110,X111)
& occurrence_of(X111,tptp0) )
=> ? [X112,X113] :
( leaf(X113,tptp0)
& min_precedes(X112,X113,tptp0)
& ( occurrence_of(X113,tptp1)
| occurrence_of(X113,tptp2) )
& next_subocc(X110,X112,tptp0)
& occurrence_of(X112,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity(X0) )
| ~ occurrence_of(X1,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f53,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f54,plain,
! [X2] :
( ? [X3] :
( occurrence_of(X2,X3)
& activity(X3) )
| ~ activity_occurrence(X2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f55,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))],[f54]) ).
fof(f57,plain,
! [X0] :
( occurrence_of(X0,sK0_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,plain,
! [X4,X5,X6] :
( X5 = X6
| ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
! [X5,X6] :
( X5 = X6
| ! [X4] :
( ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f65,plain,
! [X10,X11,X12] :
( earlier(X10,X12)
| ~ earlier(X11,X12)
| ~ earlier(X10,X11) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f66,plain,
! [X10,X12] :
( earlier(X10,X12)
| ! [X11] :
( ~ earlier(X11,X12)
| ~ earlier(X10,X11) ) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( earlier(X0,X2)
| ~ earlier(X1,X2)
| ~ earlier(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f75,plain,
! [X18] :
( arboreal(X18)
| ~ legal(X18) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f76,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X19,X20] :
( legal(X20)
| ~ earlier(X20,X19)
| ~ legal(X19) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f78,plain,
! [X20] :
( legal(X20)
| ! [X19] :
( ~ earlier(X20,X19)
| ~ legal(X19) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( legal(X1)
| ~ earlier(X1,X0)
| ~ legal(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,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(f81,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)],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( earlier(X0,X1)
| ~ precedes(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( legal(X1)
| ~ precedes(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f84,plain,
! [X0,X1] :
( ~ legal(X1)
| ~ earlier(X0,X1)
| precedes(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f85,plain,
! [X23,X24,X25] :
( ? [X26,X27] :
( atocc(X25,X27)
& atocc(X24,X26)
& subactivity(X27,X23)
& subactivity(X26,X23) )
| ~ min_precedes(X24,X25,X23) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f86,plain,
! [X23,X24,X25] :
( ? [X27] :
( atocc(X25,X27)
& ? [X26] :
( atocc(X24,X26)
& subactivity(X27,X23)
& subactivity(X26,X23) ) )
| ~ min_precedes(X24,X25,X23) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f87,plain,
! [X23,X24,X25] :
( ( atocc(X25,sK1_skl(X25,X24,X23))
& atocc(X24,sK2_skl(X25,X24,X23))
& subactivity(sK1_skl(X25,X24,X23),X23)
& subactivity(sK2_skl(X25,X24,X23),X23) )
| ~ min_precedes(X24,X25,X23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(X27,sK1_skl(X25,X24,X23)),skolemize(X26,sK2_skl(X25,X24,X23))],[f86]) ).
fof(f91,plain,
! [X0,X1,X2] :
( atocc(X1,sK1_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f96,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(f97,plain,
! [X32,X33] :
( ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) )
| ! [X31] : ~ min_precedes(X31,X32,X33) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f98,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))],[f97]) ).
fof(f100,plain,
! [X0,X1,X2] :
( min_precedes(sK4_skl(X2,X1),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f104,plain,
! [X38,X39,X40] :
( precedes(X38,X39)
| ~ min_precedes(X38,X39,X40) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f105,plain,
! [X38,X39] :
( precedes(X38,X39)
| ! [X40] : ~ min_precedes(X38,X39,X40) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f112,plain,
! [X45,X46,X47,X48] :
( min_precedes(X46,X47,X48)
| ~ precedes(X46,X47)
| ~ min_precedes(X45,X47,X48)
| ~ min_precedes(X45,X46,X48) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f113,plain,
! [X46,X47,X48] :
( min_precedes(X46,X47,X48)
| ~ precedes(X46,X47)
| ! [X45] :
( ~ min_precedes(X45,X47,X48)
| ~ min_precedes(X45,X46,X48) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X3,X2)
| ~ precedes(X1,X3)
| ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f121,plain,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ! [X59] : ~ min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f122,plain,
! [X56,X57] :
( ( ? [X59] : min_precedes(X56,X59,X57)
| ( ! [X58] : ~ min_precedes(X58,X56,X57)
& ~ root(X56,X57) )
| leaf(X56,X57) )
& ( ( ! [X59] : ~ min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) )
| ~ leaf(X56,X57) ) ),
inference(NNF_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
( ! [X56,X57] :
( ? [X59] : min_precedes(X56,X59,X57)
| ( ! [X58] : ~ min_precedes(X58,X56,X57)
& ~ root(X56,X57) )
| leaf(X56,X57) )
& ! [X56,X57] :
( ( ! [X59] : ~ min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) )
| ~ leaf(X56,X57) ) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f124,plain,
( ! [X56,X57] :
( min_precedes(X56,sK6_skl(X57,X56),X57)
| ( ! [X58] : ~ min_precedes(X58,X56,X57)
& ~ root(X56,X57) )
| leaf(X56,X57) )
& ! [X56,X57] :
( ( ! [X59] : ~ min_precedes(X56,X59,X57)
& ( min_precedes(sK5_skl(X57,X56),X56,X57)
| root(X56,X57) ) )
| ~ leaf(X56,X57) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(X58,sK5_skl(X57,X56)),skolemize(X59,sK6_skl(X57,X56))],[f123]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X2,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f129,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(f130,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)],[f129]) ).
fof(f131,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)],[f130]) ).
fof(f132,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))],[f131]) ).
fof(f133,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f137,plain,
! [X64,X65] :
( ( ! [X66] :
( ~ occurrence_of(X64,X66)
| ~ atomic(X66)
| ~ subactivity(X65,X66) )
| atocc(X64,X65) )
& ( ? [X66] :
( occurrence_of(X64,X66)
& atomic(X66)
& subactivity(X65,X66) )
| ~ atocc(X64,X65) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f138,plain,
( ! [X64,X65] :
( ! [X66] :
( ~ occurrence_of(X64,X66)
| ~ atomic(X66)
| ~ subactivity(X65,X66) )
| atocc(X64,X65) )
& ! [X64,X65] :
( ? [X66] :
( occurrence_of(X64,X66)
& atomic(X66)
& subactivity(X65,X66) )
| ~ atocc(X64,X65) ) ),
inference(miniscoping,[status(thm)],[f137]) ).
fof(f139,plain,
( ! [X64,X65] :
( ! [X66] :
( ~ occurrence_of(X64,X66)
| ~ atomic(X66)
| ~ subactivity(X65,X66) )
| atocc(X64,X65) )
& ! [X64,X65] :
( ( occurrence_of(X64,sK8_skl(X65,X64))
& atomic(sK8_skl(X65,X64))
& subactivity(X65,sK8_skl(X65,X64)) )
| ~ atocc(X64,X65) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(X66,sK8_skl(X65,X64))],[f138]) ).
fof(f142,plain,
! [X0,X1] :
( occurrence_of(X0,sK8_skl(X1,X0))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f147,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(f148,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))],[f147]) ).
fof(f149,plain,
! [X0,X1,X2] :
( occurrence_of(sK9_skl(X1,X0,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f151,plain,
! [X0,X1,X2] :
( subactivity_occurrence(X1,sK9_skl(X1,X0,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f160,plain,
! [X79,X80,X81,X82] :
( X81 = X82
| min_precedes(X82,X81,X79)
| min_precedes(X81,X82,X79)
| ~ subactivity_occurrence(X82,X80)
| ~ subactivity_occurrence(X81,X80)
| ~ arboreal(X82)
| ~ arboreal(X81)
| ~ occurrence_of(X80,X79) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f161,plain,
! [X79,X81,X82] :
( X81 = X82
| min_precedes(X82,X81,X79)
| min_precedes(X81,X82,X79)
| ! [X80] :
( ~ subactivity_occurrence(X82,X80)
| ~ subactivity_occurrence(X81,X80)
| ~ arboreal(X82)
| ~ arboreal(X81)
| ~ occurrence_of(X80,X79) ) ),
inference(miniscoping,[status(thm)],[f160]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X3,X2,X1)
| min_precedes(X2,X3,X1)
| ~ subactivity_occurrence(X3,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,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(f164,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)],[f163]) ).
fof(f165,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)],[f164]) ).
fof(f191,plain,
! [X105,X106] :
( ? [X107,X108,X109] :
( leaf(X109,tptp0)
& next_subocc(X108,X109,tptp0)
& ( occurrence_of(X109,tptp1)
| occurrence_of(X109,tptp2) )
& next_subocc(X107,X108,tptp0)
& occurrence_of(X108,tptp4)
& next_subocc(X105,X107,tptp0)
& occurrence_of(X107,tptp3) )
| leaf_occ(X105,X106)
| ~ arboreal(X105)
| ~ subactivity_occurrence(X105,X106)
| ~ occurrence_of(X106,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f192,plain,
! [X105] :
( ? [X109] :
( leaf(X109,tptp0)
& ? [X108] :
( next_subocc(X108,X109,tptp0)
& ( occurrence_of(X109,tptp1)
| occurrence_of(X109,tptp2) )
& ? [X107] :
( next_subocc(X107,X108,tptp0)
& occurrence_of(X108,tptp4)
& next_subocc(X105,X107,tptp0)
& occurrence_of(X107,tptp3) ) ) )
| ! [X106] :
( leaf_occ(X105,X106)
| ~ arboreal(X105)
| ~ subactivity_occurrence(X105,X106)
| ~ occurrence_of(X106,tptp0) ) ),
inference(miniscoping,[status(thm)],[f191]) ).
fof(f193,plain,
! [X105] :
( ( leaf(sK15_skl(X105),tptp0)
& next_subocc(sK16_skl(X105),sK15_skl(X105),tptp0)
& ( occurrence_of(sK15_skl(X105),tptp1)
| occurrence_of(sK15_skl(X105),tptp2) )
& next_subocc(sK17_skl(X105),sK16_skl(X105),tptp0)
& occurrence_of(sK16_skl(X105),tptp4)
& next_subocc(X105,sK17_skl(X105),tptp0)
& occurrence_of(sK17_skl(X105),tptp3) )
| ! [X106] :
( leaf_occ(X105,X106)
| ~ arboreal(X105)
| ~ subactivity_occurrence(X105,X106)
| ~ occurrence_of(X106,tptp0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl,sK17_skl]),skolemize(X109,sK15_skl(X105)),skolemize(X108,sK16_skl(X105)),skolemize(X107,sK17_skl(X105))],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( occurrence_of(sK17_skl(X1),tptp3)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( next_subocc(X1,sK17_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f197,plain,
! [X0,X1] :
( next_subocc(sK17_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)],[f193]) ).
fof(f198,plain,
! [X0,X1] :
( occurrence_of(sK15_skl(X1),tptp1)
| occurrence_of(sK15_skl(X1),tptp2)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f199,plain,
! [X0,X1] :
( next_subocc(sK16_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)],[f193]) ).
fof(f200,plain,
! [X0,X1] :
( leaf(sK15_skl(X1),tptp0)
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f213,plain,
? [X110,X111] :
( ! [X112,X113] :
( ~ leaf(X113,tptp0)
| ~ min_precedes(X112,X113,tptp0)
| ( ~ occurrence_of(X113,tptp1)
& ~ occurrence_of(X113,tptp2) )
| ~ next_subocc(X110,X112,tptp0)
| ~ occurrence_of(X112,tptp3) )
& ~ leaf_occ(X110,X111)
& arboreal(X110)
& subactivity_occurrence(X110,X111)
& occurrence_of(X111,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f214,plain,
? [X110] :
( ! [X113] :
( ~ leaf(X113,tptp0)
| ! [X112] :
( ~ min_precedes(X112,X113,tptp0)
| ( ~ occurrence_of(X113,tptp1)
& ~ occurrence_of(X113,tptp2) )
| ~ next_subocc(X110,X112,tptp0)
| ~ occurrence_of(X112,tptp3) ) )
& ? [X111] :
( ~ leaf_occ(X110,X111)
& arboreal(X110)
& subactivity_occurrence(X110,X111)
& occurrence_of(X111,tptp0) ) ),
inference(miniscoping,[status(thm)],[f213]) ).
fof(f215,plain,
( ! [X113] :
( ~ leaf(X113,tptp0)
| ! [X112] :
( ~ min_precedes(X112,X113,tptp0)
| ( ~ occurrence_of(X113,tptp1)
& ~ occurrence_of(X113,tptp2) )
| ~ next_subocc(sK18_skl,X112,tptp0)
| ~ occurrence_of(X112,tptp3) ) )
& ~ leaf_occ(sK18_skl,sK19_skl)
& arboreal(sK18_skl)
& subactivity_occurrence(sK18_skl,sK19_skl)
& occurrence_of(sK19_skl,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl]),skolemize(X110,sK18_skl),skolemize(X111,sK19_skl)],[f214]) ).
fof(f216,plain,
occurrence_of(sK19_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
subactivity_occurrence(sK18_skl,sK19_skl),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f218,plain,
arboreal(sK18_skl),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f219,plain,
~ leaf_occ(sK18_skl,sK19_skl),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f220,plain,
! [X0,X1] :
( ~ leaf(X1,tptp0)
| ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp2)
| ~ next_subocc(sK18_skl,X0,tptp0)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f221,plain,
! [X0,X1] :
( ~ leaf(X1,tptp0)
| ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp1)
| ~ next_subocc(sK18_skl,X0,tptp0)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f224,plain,
! [X0,X1] :
( X1 = sK0_skl(X0)
| ~ occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(resolution,[status(thm)],[f57,f60]) ).
fof(f225,plain,
! [X0,X1] :
( X1 = sK0_skl(X0)
| ~ occurrence_of(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f53]) ).
fof(f246,plain,
! [X0] :
( next_subocc(sK17_skl(X0),sK16_skl(X0),tptp0)
| leaf_occ(X0,sK19_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK19_skl) ),
inference(resolution,[status(thm)],[f197,f216]) ).
fof(f247,plain,
( next_subocc(sK17_skl(sK18_skl),sK16_skl(sK18_skl),tptp0)
| leaf_occ(sK18_skl,sK19_skl)
| ~ arboreal(sK18_skl) ),
inference(resolution,[status(thm)],[f246,f217]) ).
fof(f248,plain,
( next_subocc(sK17_skl(sK18_skl),sK16_skl(sK18_skl),tptp0)
| leaf_occ(sK18_skl,sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f218]) ).
fof(f250,plain,
( min_precedes(sK17_skl(sK18_skl),sK16_skl(sK18_skl),tptp0)
| leaf_occ(sK18_skl,sK19_skl) ),
inference(resolution,[status(thm)],[f248,f133]) ).
fof(f252,plain,
min_precedes(sK17_skl(sK18_skl),sK16_skl(sK18_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f250,f219]) ).
fof(f258,plain,
precedes(sK17_skl(sK18_skl),sK16_skl(sK18_skl)),
inference(resolution,[status(thm)],[f252,f106]) ).
fof(f259,plain,
! [X0] :
( subactivity_occurrence(sK17_skl(sK18_skl),X0)
| ~ subactivity_occurrence(sK16_skl(sK18_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f252,f165]) ).
fof(f266,plain,
legal(sK16_skl(sK18_skl)),
inference(resolution,[status(thm)],[f258,f83]) ).
fof(f267,plain,
earlier(sK17_skl(sK18_skl),sK16_skl(sK18_skl)),
inference(resolution,[status(thm)],[f258,f82]) ).
fof(f268,plain,
! [X0] :
( legal(X0)
| ~ earlier(X0,sK16_skl(sK18_skl)) ),
inference(resolution,[status(thm)],[f266,f79]) ).
fof(f275,plain,
legal(sK17_skl(sK18_skl)),
inference(resolution,[status(thm)],[f268,f267]) ).
fof(f279,plain,
arboreal(sK17_skl(sK18_skl)),
inference(resolution,[status(thm)],[f275,f76]) ).
fof(f319,plain,
! [X0] :
( next_subocc(sK16_skl(X0),sK15_skl(X0),tptp0)
| leaf_occ(X0,sK19_skl)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK19_skl) ),
inference(resolution,[status(thm)],[f199,f216]) ).
fof(f320,plain,
( next_subocc(sK16_skl(sK18_skl),sK15_skl(sK18_skl),tptp0)
| leaf_occ(sK18_skl,sK19_skl)
| ~ arboreal(sK18_skl) ),
inference(resolution,[status(thm)],[f319,f217]) ).
fof(f321,plain,
( next_subocc(sK16_skl(sK18_skl),sK15_skl(sK18_skl),tptp0)
| leaf_occ(sK18_skl,sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f218]) ).
fof(f323,plain,
( min_precedes(sK16_skl(sK18_skl),sK15_skl(sK18_skl),tptp0)
| leaf_occ(sK18_skl,sK19_skl) ),
inference(resolution,[status(thm)],[f321,f133]) ).
fof(f325,plain,
min_precedes(sK16_skl(sK18_skl),sK15_skl(sK18_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f323,f219]) ).
fof(f331,plain,
min_precedes(sK4_skl(tptp0,sK15_skl(sK18_skl)),sK15_skl(sK18_skl),tptp0),
inference(resolution,[status(thm)],[f325,f100]) ).
fof(f333,plain,
precedes(sK16_skl(sK18_skl),sK15_skl(sK18_skl)),
inference(resolution,[status(thm)],[f325,f106]) ).
fof(f334,plain,
! [X0] :
( subactivity_occurrence(sK16_skl(sK18_skl),X0)
| ~ subactivity_occurrence(sK15_skl(sK18_skl),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f325,f165]) ).
fof(f338,plain,
legal(sK15_skl(sK18_skl)),
inference(resolution,[status(thm)],[f333,f83]) ).
fof(f339,plain,
earlier(sK16_skl(sK18_skl),sK15_skl(sK18_skl)),
inference(resolution,[status(thm)],[f333,f82]) ).
fof(f342,plain,
! [X0] :
( ~ earlier(X0,sK15_skl(sK18_skl))
| precedes(X0,sK15_skl(sK18_skl)) ),
inference(resolution,[status(thm)],[f338,f84]) ).
fof(f343,plain,
arboreal(sK15_skl(sK18_skl)),
inference(resolution,[status(thm)],[f338,f76]) ).
fof(f349,plain,
! [X0] :
( earlier(X0,sK15_skl(sK18_skl))
| ~ earlier(X0,sK16_skl(sK18_skl)) ),
inference(resolution,[status(thm)],[f339,f67]) ).
fof(f365,plain,
earlier(sK17_skl(sK18_skl),sK15_skl(sK18_skl)),
inference(resolution,[status(thm)],[f349,f267]) ).
fof(f366,plain,
precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl)),
inference(resolution,[status(thm)],[f365,f342]) ).
fof(f372,plain,
! [X0,X1] :
( min_precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl),X1)
| ~ min_precedes(X0,sK15_skl(sK18_skl),X1)
| ~ min_precedes(X0,sK17_skl(sK18_skl),X1) ),
inference(resolution,[status(thm)],[f366,f114]) ).
fof(f410,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X0,X2)
| occurrence_of(X0,sK8_skl(sK1_skl(X0,X1,X2),X0)) ),
inference(resolution,[status(thm)],[f142,f91]) ).
fof(f473,plain,
occurrence_of(sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0),tptp0),
inference(resolution,[status(thm)],[f149,f325]) ).
fof(f548,plain,
subactivity_occurrence(sK15_skl(sK18_skl),sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0)),
inference(resolution,[status(thm)],[f151,f325]) ).
fof(f554,plain,
( subactivity_occurrence(sK16_skl(sK18_skl),sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0))
| ~ occurrence_of(sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f548,f334]) ).
fof(f558,plain,
! [X0,X1] :
( X1 = sK15_skl(sK18_skl)
| min_precedes(sK15_skl(sK18_skl),X1,X0)
| min_precedes(X1,sK15_skl(sK18_skl),X0)
| ~ subactivity_occurrence(X1,sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0))
| ~ arboreal(sK15_skl(sK18_skl))
| ~ arboreal(X1)
| ~ occurrence_of(sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0),X0) ),
inference(resolution,[status(thm)],[f548,f162]) ).
fof(f559,plain,
subactivity_occurrence(sK16_skl(sK18_skl),sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f554,f473]) ).
fof(f561,plain,
! [X0,X1] :
( X1 = sK15_skl(sK18_skl)
| min_precedes(sK15_skl(sK18_skl),X1,X0)
| min_precedes(X1,sK15_skl(sK18_skl),X0)
| ~ subactivity_occurrence(X1,sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0))
| ~ arboreal(X1)
| ~ occurrence_of(sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f558,f343]) ).
fof(f570,plain,
( subactivity_occurrence(sK17_skl(sK18_skl),sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0))
| ~ occurrence_of(sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0),tptp0) ),
inference(resolution,[status(thm)],[f559,f259]) ).
fof(f575,plain,
subactivity_occurrence(sK17_skl(sK18_skl),sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0)),
inference(forward_subsumption_resolution,[status(thm)],[f570,f473]) ).
fof(f808,plain,
! [X0] :
( X0 = sK15_skl(sK18_skl)
| min_precedes(sK15_skl(sK18_skl),X0,tptp0)
| min_precedes(X0,sK15_skl(sK18_skl),tptp0)
| ~ subactivity_occurrence(X0,sK9_skl(sK15_skl(sK18_skl),sK16_skl(sK18_skl),tptp0))
| ~ arboreal(X0) ),
inference(resolution,[status(thm)],[f561,f473]) ).
fof(f813,plain,
( sK17_skl(sK18_skl) = sK15_skl(sK18_skl)
| min_precedes(sK15_skl(sK18_skl),sK17_skl(sK18_skl),tptp0)
| min_precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl),tptp0)
| ~ arboreal(sK17_skl(sK18_skl)) ),
inference(resolution,[status(thm)],[f808,f575]) ).
fof(f818,plain,
( sK17_skl(sK18_skl) = sK15_skl(sK18_skl)
| min_precedes(sK15_skl(sK18_skl),sK17_skl(sK18_skl),tptp0)
| min_precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[f813,f279]) ).
fof(f1015,plain,
! [X0,X1] :
( tptp3 = sK0_skl(sK17_skl(X1))
| leaf_occ(X1,X0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f194,f225]) ).
fof(f1017,plain,
( next_subocc(sK18_skl,sK17_skl(sK18_skl),tptp0)
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl)
| ~ occurrence_of(sK19_skl,tptp0) ),
inference(resolution,[status(thm)],[f195,f219]) ).
fof(f1020,plain,
( next_subocc(sK18_skl,sK17_skl(sK18_skl),tptp0)
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f216]) ).
fof(f1021,plain,
( next_subocc(sK18_skl,sK17_skl(sK18_skl),tptp0)
| ~ arboreal(sK18_skl) ),
inference(resolution,[status(thm)],[f1020,f217]) ).
fof(f1022,plain,
next_subocc(sK18_skl,sK17_skl(sK18_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f218]) ).
fof(f1026,plain,
min_precedes(sK18_skl,sK17_skl(sK18_skl),tptp0),
inference(resolution,[status(thm)],[f1022,f133]) ).
fof(f1035,plain,
min_precedes(sK4_skl(tptp0,sK17_skl(sK18_skl)),sK17_skl(sK18_skl),tptp0),
inference(resolution,[status(thm)],[f1026,f100]) ).
fof(f1104,plain,
( occurrence_of(sK15_skl(sK18_skl),tptp1)
| occurrence_of(sK15_skl(sK18_skl),tptp2)
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl)
| ~ occurrence_of(sK19_skl,tptp0) ),
inference(resolution,[status(thm)],[f198,f219]) ).
fof(f1107,plain,
( occurrence_of(sK15_skl(sK18_skl),tptp1)
| occurrence_of(sK15_skl(sK18_skl),tptp2)
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1104,f216]) ).
fof(f1108,plain,
( leaf(sK15_skl(sK18_skl),tptp0)
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl)
| ~ occurrence_of(sK19_skl,tptp0) ),
inference(resolution,[status(thm)],[f200,f219]) ).
fof(f1111,plain,
( leaf(sK15_skl(sK18_skl),tptp0)
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f216]) ).
fof(f1152,plain,
( occurrence_of(sK15_skl(sK18_skl),tptp1)
| occurrence_of(sK15_skl(sK18_skl),tptp2)
| ~ arboreal(sK18_skl) ),
inference(resolution,[status(thm)],[f1107,f217]) ).
fof(f1153,plain,
( occurrence_of(sK15_skl(sK18_skl),tptp1)
| occurrence_of(sK15_skl(sK18_skl),tptp2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1152,f218]) ).
fof(f1160,plain,
( min_precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl),tptp0)
| ~ min_precedes(sK4_skl(tptp0,sK17_skl(sK18_skl)),sK15_skl(sK18_skl),tptp0) ),
inference(resolution,[status(thm)],[f1035,f372]) ).
fof(f1224,plain,
occurrence_of(sK17_skl(sK18_skl),sK8_skl(sK1_skl(sK17_skl(sK18_skl),sK18_skl,tptp0),sK17_skl(sK18_skl))),
inference(resolution,[status(thm)],[f410,f1026]) ).
fof(f1241,plain,
! [X0] :
( ~ leaf(sK15_skl(sK18_skl),tptp0)
| ~ min_precedes(X0,sK15_skl(sK18_skl),tptp0)
| ~ next_subocc(sK18_skl,X0,tptp0)
| ~ occurrence_of(X0,tptp3)
| occurrence_of(sK15_skl(sK18_skl),tptp1) ),
inference(resolution,[status(thm)],[f1153,f220]) ).
fof(f1245,plain,
! [X0] :
( ~ leaf(sK15_skl(sK18_skl),tptp0)
| ~ min_precedes(X0,sK15_skl(sK18_skl),tptp0)
| ~ next_subocc(sK18_skl,X0,tptp0)
| ~ occurrence_of(X0,tptp3) ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f221]) ).
fof(f1254,plain,
( leaf(sK15_skl(sK18_skl),tptp0)
| ~ arboreal(sK18_skl) ),
inference(resolution,[status(thm)],[f1111,f217]) ).
fof(f1256,plain,
! [X0] :
( ~ min_precedes(X0,sK15_skl(sK18_skl),tptp0)
| ~ next_subocc(sK18_skl,X0,tptp0)
| ~ occurrence_of(X0,tptp3) ),
inference(backward_subsumption_resolution,[status(thm)],[f1245,f1257]) ).
fof(f1257,plain,
leaf(sK15_skl(sK18_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f1254,f218]) ).
fof(f1262,plain,
! [X0] : ~ min_precedes(sK15_skl(sK18_skl),X0,tptp0),
inference(resolution,[status(thm)],[f1257,f126]) ).
fof(f1273,plain,
( sK17_skl(sK18_skl) = sK15_skl(sK18_skl)
| min_precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl),tptp0) ),
inference(backward_subsumption_resolution,[status(thm)],[f818,f1262]) ).
fof(f1315,plain,
( tptp3 = sK0_skl(sK17_skl(sK18_skl))
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl)
| ~ occurrence_of(sK19_skl,tptp0) ),
inference(resolution,[status(thm)],[f1015,f219]) ).
fof(f1318,plain,
( tptp3 = sK0_skl(sK17_skl(sK18_skl))
| ~ arboreal(sK18_skl)
| ~ subactivity_occurrence(sK18_skl,sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f216]) ).
fof(f1331,plain,
( tptp3 = sK0_skl(sK17_skl(sK18_skl))
| ~ arboreal(sK18_skl) ),
inference(resolution,[status(thm)],[f1318,f217]) ).
fof(f1334,plain,
tptp3 = sK0_skl(sK17_skl(sK18_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f1331,f218]) ).
fof(f1499,plain,
sK8_skl(sK1_skl(sK17_skl(sK18_skl),sK18_skl,tptp0),sK17_skl(sK18_skl)) = sK0_skl(sK17_skl(sK18_skl)),
inference(resolution,[status(thm)],[f1224,f225]) ).
fof(f1502,plain,
occurrence_of(sK17_skl(sK18_skl),tptp3),
inference(backward_demodulation,[status(thm)],[f1505,f1224]) ).
fof(f1505,plain,
sK8_skl(sK1_skl(sK17_skl(sK18_skl),sK18_skl,tptp0),sK17_skl(sK18_skl)) = tptp3,
inference(forward_demodulation,[status(thm)],[f1334,f1499]) ).
fof(f1596,plain,
( ~ min_precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl),tptp0)
| ~ occurrence_of(sK17_skl(sK18_skl),tptp3) ),
inference(resolution,[status(thm)],[f1256,f1022]) ).
fof(f1598,plain,
sK17_skl(sK18_skl) = sK15_skl(sK18_skl),
inference(backward_subsumption_resolution,[status(thm)],[f1273,f1600]) ).
fof(f1599,plain,
~ min_precedes(sK4_skl(tptp0,sK17_skl(sK18_skl)),sK15_skl(sK18_skl),tptp0),
inference(backward_subsumption_resolution,[status(thm)],[f1160,f1600]) ).
fof(f1600,plain,
~ min_precedes(sK17_skl(sK18_skl),sK15_skl(sK18_skl),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[f1596,f1502]) ).
fof(f1859,plain,
~ min_precedes(sK4_skl(tptp0,sK15_skl(sK18_skl)),sK15_skl(sK18_skl),tptp0),
inference(forward_demodulation,[status(thm)],[f1598,f1599]) ).
fof(f1860,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1859,f331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO014+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 03:48:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 4.69/1.09 % Refutation found
% 4.69/1.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.69/1.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.10/1.12 % Elapsed time: 0.735620 seconds
% 2.10/1.12 % CPU time: 5.541169 seconds
% 2.10/1.12 % Total memory used: 157.846 MB
% 2.10/1.12 % Net memory used: 152.105 MB
%------------------------------------------------------------------------------