%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PRO009+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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:16 PM UTC 2026
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 65
% Syntax : Number of formulae : 309 ( 49 unt; 40 def)
% Number of atoms : 849 ( 55 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 917 ( 377 ~; 369 |; 105 &)
% ( 46 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 57 ( 55 usr; 41 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 355 ( 318 !; 37 ?)
% 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(f8,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X28,X29] :
( root(X29,X28)
=> ? [X30] :
( atocc(X29,X30)
& subactivity(X30,X28) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X35,X36,X37] :
( min_precedes(X35,X36,X37)
=> ~ root(X36,X37) ),
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(f18,axiom,
! [X43,X44] :
( ( legal(X43)
& atocc(X43,X44) )
=> root(X43,X44) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X67,X68] :
( subactivity_occurrence(X67,X68)
=> ( activity_occurrence(X68)
& activity_occurrence(X67) ) ),
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(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/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(f42,axiom,
! [X130,X131,X132,X133] :
( ( X131 != X132
& root_occ(X132,X130)
& leaf_occ(X131,X130)
& occurrence_of(X130,X133) )
=> min_precedes(X132,X131,X133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [X145,X146] :
( ( ~ atomic(X146)
& leaf(X145,X146) )
=> ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163,X164] :
( leaf_occ(X164,X161)
& next_subocc(X163,X164,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& next_subocc(X162,X163,tptp0)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& occurrence_of(X162,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& min_precedes(X166,X167,tptp0)
& ( occurrence_of(X167,tptp1)
| occurrence_of(X167,tptp2) )
& root_occ(X166,X165)
& occurrence_of(X166,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ ! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& min_precedes(X166,X167,tptp0)
& ( occurrence_of(X167,tptp1)
| occurrence_of(X167,tptp2) )
& root_occ(X166,X165)
& occurrence_of(X166,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity(X0) )
| ~ occurrence_of(X1,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f67,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
! [X2] :
( ? [X3] :
( occurrence_of(X2,X3)
& activity(X3) )
| ~ activity_occurrence(X2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f69,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))],[f68]) ).
fof(f70,plain,
! [X0] :
( activity(sK0_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0] :
( occurrence_of(X0,sK0_skl(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f72,plain,
! [X4,X5,X6] :
( X5 = X6
| ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
! [X5,X6] :
( X5 = X6
| ! [X4] :
( ~ occurrence_of(X4,X6)
| ~ occurrence_of(X4,X5) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f85,plain,
! [X16,X17] :
( ( arboreal(X16)
<=> atomic(X17) )
| ~ occurrence_of(X16,X17) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f86,plain,
! [X16,X17] :
( ( ( ~ atomic(X17)
| arboreal(X16) )
& ( atomic(X17)
| ~ arboreal(X16) ) )
| ~ occurrence_of(X16,X17) ),
inference(NNF_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( atomic(X1)
| ~ arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f89,plain,
! [X18] :
( arboreal(X18)
| ~ legal(X18) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f90,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f106,plain,
! [X28,X29] :
( ? [X30] :
( atocc(X29,X30)
& subactivity(X30,X28) )
| ~ root(X29,X28) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f107,plain,
! [X28,X29] :
( ( atocc(X29,sK3_skl(X29,X28))
& subactivity(sK3_skl(X29,X28),X28) )
| ~ root(X29,X28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X30,sK3_skl(X29,X28))],[f106]) ).
fof(f109,plain,
! [X0,X1] :
( atocc(X0,sK3_skl(X0,X1))
| ~ root(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f115,plain,
! [X35,X36,X37] :
( ~ root(X36,X37)
| ~ min_precedes(X35,X36,X37) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f116,plain,
! [X36,X37] :
( ~ root(X36,X37)
| ! [X35] : ~ min_precedes(X35,X36,X37) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f121,plain,
! [X41,X42] :
( legal(X41)
| ~ root(X41,X42) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f122,plain,
! [X41] :
( legal(X41)
| ! [X42] : ~ root(X41,X42) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
! [X43,X44] :
( root(X43,X44)
| ~ legal(X43)
| ~ atocc(X43,X44) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f125,plain,
! [X0,X1] :
( root(X0,X1)
| ~ legal(X0)
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f135,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(f136,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)],[f135]) ).
fof(f137,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)],[f136]) ).
fof(f138,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))],[f137]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X2,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f158,plain,
! [X67,X68] :
( ( activity_occurrence(X68)
& activity_occurrence(X67) )
| ~ subactivity_occurrence(X67,X68) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f159,plain,
! [X0,X1] :
( activity_occurrence(X0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f170,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(f171,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))],[f170]) ).
fof(f172,plain,
! [X0,X1] :
( root(sK11_skl(X0,X1),X1)
| atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
! [X0,X1] :
( subactivity_occurrence(sK11_skl(X0,X1),X0)
| atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f174,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(f175,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)],[f174]) ).
fof(f176,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)],[f175]) ).
fof(f191,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(f192,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)],[f191]) ).
fof(f193,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))],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( occurrence_of(X1,sK13_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
! [X0,X1] :
( root(X0,sK13_skl(X1,X0))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f198,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(f199,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)],[f198]) ).
fof(f200,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))],[f199]) ).
fof(f201,plain,
! [X0,X1] :
( occurrence_of(X1,sK14_skl(X1,X0))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f203,plain,
! [X0,X1] :
( leaf(X0,sK14_skl(X1,X0))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f205,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(f206,plain,
! [X105,X106] :
( X105 = X106
| ! [X107] :
( ~ root_occ(X106,X107)
| ~ root_occ(X105,X107)
| ! [X108] : ~ occurrence_of(X107,X108) ) ),
inference(miniscoping,[status(thm)],[f205]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ root_occ(X3,X0)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,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(f209,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)],[f208]) ).
fof(f210,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)],[f209]) ).
fof(f211,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(f212,plain,
! [X114,X115] :
( ! [X116] : ~ min_precedes(X114,X116,X115)
| ! [X113] :
( ~ leaf_occ(X114,X113)
| ~ occurrence_of(X113,X115) ) ),
inference(miniscoping,[status(thm)],[f211]) ).
fof(f213,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X2,X3,X1)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f223,plain,
! [X130,X131,X132,X133] :
( min_precedes(X132,X131,X133)
| X131 = X132
| ~ root_occ(X132,X130)
| ~ leaf_occ(X131,X130)
| ~ occurrence_of(X130,X133) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f224,plain,
! [X131,X132,X133] :
( min_precedes(X132,X131,X133)
| X131 = X132
| ! [X130] :
( ~ root_occ(X132,X130)
| ~ leaf_occ(X131,X130)
| ~ occurrence_of(X130,X133) ) ),
inference(miniscoping,[status(thm)],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3] :
( min_precedes(X3,X2,X1)
| X2 = X3
| ~ root_occ(X3,X0)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f236,plain,
! [X145,X146] :
( ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) )
| atomic(X146)
| ~ leaf(X145,X146) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f237,plain,
! [X145,X146] :
( ( leaf_occ(X145,sK15_skl(X146,X145))
& occurrence_of(sK15_skl(X146,X145),X146) )
| atomic(X146)
| ~ leaf(X145,X146) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(X147,sK15_skl(X146,X145))],[f236]) ).
fof(f238,plain,
! [X0,X1] :
( occurrence_of(sK15_skl(X1,X0),X1)
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f249,plain,
! [X161] :
( ? [X162,X163,X164] :
( leaf_occ(X164,X161)
& next_subocc(X163,X164,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& next_subocc(X162,X163,tptp0)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& occurrence_of(X162,tptp3) )
| ~ occurrence_of(X161,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f250,plain,
! [X161] :
( ? [X164] :
( leaf_occ(X164,X161)
& ? [X163] :
( next_subocc(X163,X164,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& ? [X162] :
( next_subocc(X162,X163,tptp0)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& occurrence_of(X162,tptp3) ) ) )
| ~ occurrence_of(X161,tptp0) ),
inference(miniscoping,[status(thm)],[f249]) ).
fof(f251,plain,
! [X161] :
( ( leaf_occ(sK16_skl(X161),X161)
& next_subocc(sK17_skl(X161),sK16_skl(X161),tptp0)
& ( occurrence_of(sK16_skl(X161),tptp1)
| occurrence_of(sK16_skl(X161),tptp2) )
& next_subocc(sK18_skl(X161),sK17_skl(X161),tptp0)
& occurrence_of(sK17_skl(X161),tptp4)
& root_occ(sK18_skl(X161),X161)
& occurrence_of(sK18_skl(X161),tptp3) )
| ~ occurrence_of(X161,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl,sK18_skl]),skolemize(X164,sK16_skl(X161)),skolemize(X163,sK17_skl(X161)),skolemize(X162,sK18_skl(X161))],[f250]) ).
fof(f252,plain,
! [X0] :
( occurrence_of(sK18_skl(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
! [X0] :
( root_occ(sK18_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
! [X0] :
( occurrence_of(sK17_skl(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f256,plain,
! [X0] :
( occurrence_of(sK16_skl(X0),tptp1)
| occurrence_of(sK16_skl(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f258,plain,
! [X0] :
( leaf_occ(sK16_skl(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f260,plain,
~ atomic(tptp0),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f268,plain,
tptp3 != tptp2,
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f269,plain,
tptp3 != tptp1,
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f271,plain,
? [X165] :
( ! [X166,X167] :
( ~ leaf_occ(X167,X165)
| ~ min_precedes(X166,X167,tptp0)
| ( ~ occurrence_of(X167,tptp1)
& ~ occurrence_of(X167,tptp2) )
| ~ root_occ(X166,X165)
| ~ occurrence_of(X166,tptp3) )
& occurrence_of(X165,tptp0) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f272,plain,
? [X165] :
( ! [X167] :
( ~ leaf_occ(X167,X165)
| ! [X166] :
( ~ min_precedes(X166,X167,tptp0)
| ( ~ occurrence_of(X167,tptp1)
& ~ occurrence_of(X167,tptp2) )
| ~ root_occ(X166,X165)
| ~ occurrence_of(X166,tptp3) ) )
& occurrence_of(X165,tptp0) ),
inference(miniscoping,[status(thm)],[f271]) ).
fof(f273,plain,
( ! [X167] :
( ~ leaf_occ(X167,sK19_skl)
| ! [X166] :
( ~ min_precedes(X166,X167,tptp0)
| ( ~ occurrence_of(X167,tptp1)
& ~ occurrence_of(X167,tptp2) )
| ~ root_occ(X166,sK19_skl)
| ~ occurrence_of(X166,tptp3) ) )
& occurrence_of(sK19_skl,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(X165,sK19_skl)],[f272]) ).
fof(f274,plain,
occurrence_of(sK19_skl,tptp0),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f275,plain,
! [X0,X1] :
( ~ leaf_occ(X1,sK19_skl)
| ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp2)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f276,plain,
! [X0,X1] :
( ~ leaf_occ(X1,sK19_skl)
| ~ min_precedes(X0,X1,tptp0)
| ~ occurrence_of(X1,tptp1)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f277,plain,
! [X0] :
( X0 = tptp0
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f74,f274]) ).
fof(f279,plain,
( sK0_skl(sK19_skl) = tptp0
| ~ activity_occurrence(sK19_skl) ),
inference(resolution,[status(thm)],[f71,f277]) ).
fof(f280,plain,
! [X0,X1] :
( X1 = sK0_skl(X0)
| ~ occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(resolution,[status(thm)],[f71,f74]) ).
fof(f281,definition,
( sQ0_spl
<=> activity_occurrence(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ0_spl
| ~ activity_occurrence(sK19_skl) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ1_spl
<=> sK0_skl(sK19_skl) = tptp0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ1_spl
| sK0_skl(sK19_skl) = tptp0 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f279,f281,f284]) ).
fof(f288,plain,
! [X0,X1] :
( X1 = sK0_skl(X0)
| ~ occurrence_of(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f67]) ).
fof(f291,plain,
! [X0] :
( sQ0_spl
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f283,f67]) ).
fof(f292,plain,
( sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f274,f291]) ).
fof(f294,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f292]) ).
fof(f296,plain,
( ~ sQ1_spl
| occurrence_of(sK19_skl,tptp0)
| ~ activity_occurrence(sK19_skl) ),
inference(paramodulation,[status(thm)],[f285,f71]) ).
fof(f297,plain,
( ~ sQ1_spl
| activity(tptp0)
| ~ activity_occurrence(sK19_skl) ),
inference(paramodulation,[status(thm)],[f285,f70]) ).
fof(f298,definition,
( sQ2_spl
<=> occurrence_of(sK19_skl,tptp0) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ1_spl
| sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f296,f281,f298,f284]) ).
fof(f302,definition,
( sQ3_spl
<=> activity(tptp0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ1_spl
| sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f297,f281,f302,f284]) ).
fof(f311,plain,
! [X0] :
( ~ arboreal(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f87,f260]) ).
fof(f313,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(resolution,[status(thm)],[f88,f311]) ).
fof(f314,plain,
! [X0] :
( ~ atomic(X0)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f313,f274]) ).
fof(f316,plain,
( ~ activity_occurrence(sK19_skl)
| ~ atomic(sK0_skl(sK19_skl)) ),
inference(resolution,[status(thm)],[f314,f71]) ).
fof(f317,definition,
( sQ4_spl
<=> atomic(sK0_skl(sK19_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f316,f317,f281]) ).
fof(f324,plain,
root_occ(sK18_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f253,f274]) ).
fof(f325,plain,
! [X0] :
( ~ leaf_occ(X0,sK19_skl)
| ~ min_precedes(sK18_skl(sK19_skl),X0,tptp0)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK18_skl(sK19_skl),tptp3) ),
inference(resolution,[status(thm)],[f324,f276]) ).
fof(f326,plain,
! [X0] :
( ~ leaf_occ(X0,sK19_skl)
| ~ min_precedes(sK18_skl(sK19_skl),X0,tptp0)
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK18_skl(sK19_skl),tptp3) ),
inference(resolution,[status(thm)],[f324,f275]) ).
fof(f327,plain,
root(sK18_skl(sK19_skl),sK13_skl(sK19_skl,sK18_skl(sK19_skl))),
inference(resolution,[status(thm)],[f324,f196]) ).
fof(f328,plain,
occurrence_of(sK19_skl,sK13_skl(sK19_skl,sK18_skl(sK19_skl))),
inference(resolution,[status(thm)],[f324,f194]) ).
fof(f329,plain,
! [X0,X1] :
( X1 = sK18_skl(sK19_skl)
| ~ root_occ(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f324,f207]) ).
fof(f331,plain,
subactivity_occurrence(sK18_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f324,f195]) ).
fof(f332,definition,
( sQ5_spl
<=> occurrence_of(sK18_skl(sK19_skl),tptp3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ5_spl
| ~ occurrence_of(sK18_skl(sK19_skl),tptp3) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
! [X0] :
( sQ6_spl
<=> ( ~ leaf_occ(X0,sK19_skl)
| ~ min_precedes(sK18_skl(sK19_skl),X0,tptp0)
| ~ occurrence_of(X0,tptp1) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f325,f332,f335]) ).
fof(f339,definition,
! [X0] :
( sQ7_spl
<=> ( ~ leaf_occ(X0,sK19_skl)
| ~ min_precedes(sK18_skl(sK19_skl),X0,tptp0)
| ~ occurrence_of(X0,tptp2) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f326,f332,f339]) ).
fof(f343,definition,
! [X0] :
( sQ8_spl
<=> ~ occurrence_of(sK19_skl,X0) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f344,plain,
! [X0] :
( ~ sQ8_spl
| ~ occurrence_of(sK19_skl,X0) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
! [X1] :
( sQ9_spl
<=> ( X1 = sK18_skl(sK19_skl)
| ~ root_occ(X1,sK19_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f329,f343,f346]) ).
fof(f350,plain,
( ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f274,f344]) ).
fof(f352,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f350]) ).
fof(f364,plain,
legal(sK18_skl(sK19_skl)),
inference(resolution,[status(thm)],[f327,f123]) ).
fof(f365,plain,
! [X0] :
( root(sK18_skl(sK19_skl),X0)
| ~ atocc(sK18_skl(sK19_skl),X0) ),
inference(resolution,[status(thm)],[f364,f125]) ).
fof(f371,plain,
leaf_occ(sK16_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f258,f274]) ).
fof(f372,plain,
! [X0] :
( ~ min_precedes(X0,sK16_skl(sK19_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK19_skl),tptp1)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(resolution,[status(thm)],[f371,f276]) ).
fof(f373,plain,
! [X0] :
( ~ min_precedes(X0,sK16_skl(sK19_skl),tptp0)
| ~ occurrence_of(sK16_skl(sK19_skl),tptp2)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(resolution,[status(thm)],[f371,f275]) ).
fof(f374,plain,
leaf(sK16_skl(sK19_skl),sK14_skl(sK19_skl,sK16_skl(sK19_skl))),
inference(resolution,[status(thm)],[f371,f203]) ).
fof(f375,plain,
occurrence_of(sK19_skl,sK14_skl(sK19_skl,sK16_skl(sK19_skl))),
inference(resolution,[status(thm)],[f371,f201]) ).
fof(f378,plain,
! [X0,X1] :
( min_precedes(X1,sK16_skl(sK19_skl),X0)
| sK16_skl(sK19_skl) = X1
| ~ root_occ(X1,sK19_skl)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f371,f225]) ).
fof(f379,plain,
! [X0,X1] :
( X1 = sK16_skl(sK19_skl)
| ~ leaf_occ(X1,sK19_skl)
| atomic(X0)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f371,f210]) ).
fof(f380,plain,
! [X0,X1] :
( ~ min_precedes(sK16_skl(sK19_skl),X1,X0)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f371,f213]) ).
fof(f381,plain,
subactivity_occurrence(sK16_skl(sK19_skl),sK19_skl),
inference(resolution,[status(thm)],[f371,f202]) ).
fof(f382,definition,
! [X0] :
( sQ10_spl
<=> ( ~ min_precedes(X0,sK16_skl(sK19_skl),tptp0)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f383,plain,
! [X0] :
( ~ sQ10_spl
| ~ min_precedes(X0,sK16_skl(sK19_skl),tptp0)
| ~ root_occ(X0,sK19_skl)
| ~ occurrence_of(X0,tptp3) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ11_spl
<=> occurrence_of(sK16_skl(sK19_skl),tptp1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ11_spl
| occurrence_of(sK16_skl(sK19_skl),tptp1) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f372,f382,f385]) ).
fof(f389,definition,
( sQ12_spl
<=> occurrence_of(sK16_skl(sK19_skl),tptp2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ12_spl
| occurrence_of(sK16_skl(sK19_skl),tptp2) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( ~ sQ12_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f373,f382,f389]) ).
fof(f393,definition,
! [X0] :
( sQ13_spl
<=> ( atomic(X0)
| ~ occurrence_of(sK19_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f394,plain,
! [X0] :
( ~ sQ13_spl
| atomic(X0)
| ~ occurrence_of(sK19_skl,X0) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
! [X1] :
( sQ14_spl
<=> ( X1 = sK16_skl(sK19_skl)
| ~ leaf_occ(X1,sK19_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f379,f393,f396]) ).
fof(f400,plain,
! [X0] :
( ~ sQ13_spl
| ~ occurrence_of(sK19_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f314]) ).
fof(f401,plain,
( ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f274,f400]) ).
fof(f403,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f401]) ).
fof(f417,plain,
sK13_skl(sK19_skl,sK18_skl(sK19_skl)) = tptp0,
inference(resolution,[status(thm)],[f328,f277]) ).
fof(f424,plain,
root(sK18_skl(sK19_skl),tptp0),
inference(backward_demodulation,[status(thm)],[f417,f327]) ).
fof(f425,plain,
! [X0] : ~ min_precedes(X0,sK18_skl(sK19_skl),tptp0),
inference(resolution,[status(thm)],[f424,f117]) ).
fof(f428,plain,
sK14_skl(sK19_skl,sK16_skl(sK19_skl)) = tptp0,
inference(resolution,[status(thm)],[f375,f277]) ).
fof(f436,plain,
! [X0] :
( legal(sK18_skl(sK19_skl))
| ~ atocc(sK18_skl(sK19_skl),X0) ),
inference(resolution,[status(thm)],[f365,f123]) ).
fof(f437,definition,
! [X0] :
( sQ15_spl
<=> ~ atocc(sK18_skl(sK19_skl),X0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f438,plain,
! [X0] :
( ~ sQ15_spl
| ~ atocc(sK18_skl(sK19_skl),X0) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ16_spl
<=> legal(sK18_skl(sK19_skl)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f436,f437,f440]) ).
fof(f445,plain,
! [X0] :
( ~ sQ15_spl
| ~ root(sK18_skl(sK19_skl),X0) ),
inference(resolution,[status(thm)],[f438,f109]) ).
fof(f446,plain,
( ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f424,f445]) ).
fof(f447,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f446]) ).
fof(f448,plain,
leaf(sK16_skl(sK19_skl),tptp0),
inference(forward_demodulation,[status(thm)],[f428,f374]) ).
fof(f449,plain,
! [X0] : ~ min_precedes(sK16_skl(sK19_skl),X0,tptp0),
inference(resolution,[status(thm)],[f448,f140]) ).
fof(f452,plain,
occurrence_of(sK18_skl(sK19_skl),tptp3),
inference(resolution,[status(thm)],[f252,f274]) ).
fof(f453,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f334]) ).
fof(f454,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f453]) ).
fof(f455,plain,
tptp3 = sK0_skl(sK18_skl(sK19_skl)),
inference(resolution,[status(thm)],[f452,f288]) ).
fof(f456,plain,
! [X0] :
( X0 = tptp3
| ~ occurrence_of(sK18_skl(sK19_skl),X0) ),
inference(resolution,[status(thm)],[f452,f74]) ).
fof(f458,plain,
( activity(tptp3)
| ~ activity_occurrence(sK18_skl(sK19_skl)) ),
inference(paramodulation,[status(thm)],[f455,f70]) ).
fof(f459,definition,
( sQ17_spl
<=> activity_occurrence(sK18_skl(sK19_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ17_spl
| ~ activity_occurrence(sK18_skl(sK19_skl)) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f463,definition,
( sQ18_spl
<=> activity(tptp3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f458,f459,f463]) ).
fof(f468,plain,
! [X0] :
( sQ17_spl
| ~ subactivity_occurrence(sK18_skl(sK19_skl),X0) ),
inference(resolution,[status(thm)],[f461,f159]) ).
fof(f471,plain,
( sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f331,f468]) ).
fof(f473,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f475,plain,
( ~ activity_occurrence(sK18_skl(sK19_skl))
| sK0_skl(sK18_skl(sK19_skl)) = tptp3 ),
inference(resolution,[status(thm)],[f456,f71]) ).
fof(f476,definition,
( sQ19_spl
<=> sK0_skl(sK18_skl(sK19_skl)) = tptp3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ17_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f475,f476,f459]) ).
fof(f502,definition,
( sQ25_spl
<=> min_precedes(sK16_skl(sK19_skl),sK6_skl(tptp0,sK16_skl(sK19_skl)),tptp0) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ25_spl
| min_precedes(sK16_skl(sK19_skl),sK6_skl(tptp0,sK16_skl(sK19_skl)),tptp0) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f506,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f449]) ).
fof(f507,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f513,definition,
( sQ27_spl
<=> min_precedes(sK5_skl(tptp0,sK18_skl(sK19_skl)),sK18_skl(sK19_skl),tptp0) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ27_spl
| min_precedes(sK5_skl(tptp0,sK18_skl(sK19_skl)),sK18_skl(sK19_skl),tptp0) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f517,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f425]) ).
fof(f518,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f544,definition,
( sQ31_spl
<=> subactivity_occurrence(sK16_skl(sK19_skl),sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ31_spl
| ~ subactivity_occurrence(sK16_skl(sK19_skl),sK19_skl) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f550,definition,
( sQ33_spl
<=> min_precedes(sK16_skl(sK19_skl),sK16_skl(sK19_skl),tptp0) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ33_spl
| min_precedes(sK16_skl(sK19_skl),sK16_skl(sK19_skl),tptp0) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f554,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f449]) ).
fof(f555,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f572,plain,
! [X0] :
( min_precedes(sK18_skl(sK19_skl),sK16_skl(sK19_skl),X0)
| sK16_skl(sK19_skl) = sK18_skl(sK19_skl)
| ~ occurrence_of(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f378,f324]) ).
fof(f573,definition,
! [X0] :
( sQ36_spl
<=> ( min_precedes(sK18_skl(sK19_skl),sK16_skl(sK19_skl),X0)
| ~ occurrence_of(sK19_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f574,plain,
! [X0] :
( ~ sQ36_spl
| min_precedes(sK18_skl(sK19_skl),sK16_skl(sK19_skl),X0)
| ~ occurrence_of(sK19_skl,X0) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ37_spl
<=> sK16_skl(sK19_skl) = sK18_skl(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ37_spl
| sK16_skl(sK19_skl) = sK18_skl(sK19_skl) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f572,f573,f576]) ).
fof(f580,plain,
( ~ sQ10_spl
| ~ min_precedes(sK18_skl(sK19_skl),sK16_skl(sK19_skl),tptp0)
| ~ occurrence_of(sK18_skl(sK19_skl),tptp3) ),
inference(resolution,[status(thm)],[f383,f324]) ).
fof(f582,definition,
( sQ38_spl
<=> min_precedes(sK18_skl(sK19_skl),sK16_skl(sK19_skl),tptp0) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( sQ38_spl
| ~ min_precedes(sK18_skl(sK19_skl),sK16_skl(sK19_skl),tptp0) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f580,f332,f582,f382]) ).
fof(f590,plain,
occurrence_of(sK17_skl(sK19_skl),tptp4),
inference(resolution,[status(thm)],[f254,f274]) ).
fof(f591,plain,
tptp4 = sK0_skl(sK17_skl(sK19_skl)),
inference(resolution,[status(thm)],[f590,f288]) ).
fof(f592,plain,
! [X0] :
( X0 = tptp4
| ~ occurrence_of(sK17_skl(sK19_skl),X0) ),
inference(resolution,[status(thm)],[f590,f74]) ).
fof(f593,plain,
( occurrence_of(sK17_skl(sK19_skl),tptp4)
| ~ activity_occurrence(sK17_skl(sK19_skl)) ),
inference(paramodulation,[status(thm)],[f591,f71]) ).
fof(f594,plain,
( activity(tptp4)
| ~ activity_occurrence(sK17_skl(sK19_skl)) ),
inference(paramodulation,[status(thm)],[f591,f70]) ).
fof(f595,definition,
( sQ40_spl
<=> activity_occurrence(sK17_skl(sK19_skl)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( sQ40_spl
| ~ activity_occurrence(sK17_skl(sK19_skl)) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ41_spl
<=> occurrence_of(sK17_skl(sK19_skl),tptp4) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( sQ41_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f593,f595,f598]) ).
fof(f602,definition,
( sQ42_spl
<=> activity(tptp4) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( sQ42_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f594,f595,f602]) ).
fof(f608,plain,
! [X0] :
( sQ40_spl
| ~ occurrence_of(sK17_skl(sK19_skl),X0) ),
inference(resolution,[status(thm)],[f597,f67]) ).
fof(f611,plain,
( sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f590,f608]) ).
fof(f613,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f617,plain,
( ~ activity_occurrence(sK17_skl(sK19_skl))
| sK0_skl(sK17_skl(sK19_skl)) = tptp4 ),
inference(resolution,[status(thm)],[f592,f71]) ).
fof(f618,definition,
( sQ43_spl
<=> sK0_skl(sK17_skl(sK19_skl)) = tptp4 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ40_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f617,f618,f595]) ).
fof(f696,definition,
( sQ55_spl
<=> root_occ(sK18_skl(sK19_skl),sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( sQ55_spl
| ~ root_occ(sK18_skl(sK19_skl),sK19_skl) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f709,plain,
( sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f324]) ).
fof(f710,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f709]) ).
fof(f814,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f381]) ).
fof(f815,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f822,plain,
( ~ sQ36_spl
| min_precedes(sK18_skl(sK19_skl),sK16_skl(sK19_skl),tptp0) ),
inference(resolution,[status(thm)],[f574,f274]) ).
fof(f824,plain,
( ~ sQ36_spl
| sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f822,f584]) ).
fof(f825,plain,
( ~ sQ36_spl
| sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f843,plain,
! [X0] :
( ~ sQ37_spl
| X0 = tptp3
| ~ occurrence_of(sK16_skl(sK19_skl),X0) ),
inference(backward_demodulation,[status(thm)],[f577,f456]) ).
fof(f890,definition,
! [X0] :
( sQ72_spl
<=> ( min_precedes(sK16_skl(sK19_skl),sK16_skl(sK19_skl),X0)
| ~ occurrence_of(sK19_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f891,plain,
! [X0] :
( ~ sQ72_spl
| min_precedes(sK16_skl(sK19_skl),sK16_skl(sK19_skl),X0)
| ~ occurrence_of(sK19_skl,X0) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f906,plain,
! [X0] :
( ~ sQ72_spl
| ~ occurrence_of(sK19_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f891,f380]) ).
fof(f912,plain,
( ~ sQ72_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f274,f906]) ).
fof(f914,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f978,definition,
( sQ77_spl
<=> leaf_occ(sK16_skl(sK19_skl),sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( sQ77_spl
| ~ leaf_occ(sK16_skl(sK19_skl),sK19_skl) ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f994,plain,
( sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f371]) ).
fof(f995,plain,
sQ77_spl,
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f1022,plain,
! [X0] :
( root(sK11_skl(X0,tptp0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[status(thm)],[f172,f260]) ).
fof(f1023,plain,
! [X0,X1] :
( X0 = X1
| min_precedes(X1,X0,tptp0)
| min_precedes(X0,X1,tptp0)
| ~ subactivity_occurrence(X1,sK19_skl)
| ~ subactivity_occurrence(X0,sK19_skl)
| ~ arboreal(X1)
| ~ arboreal(X0) ),
inference(resolution,[status(thm)],[f176,f274]) ).
fof(f1053,plain,
root(sK11_skl(sK19_skl,tptp0),tptp0),
inference(resolution,[status(thm)],[f1022,f274]) ).
fof(f1109,plain,
legal(sK11_skl(sK19_skl,tptp0)),
inference(resolution,[status(thm)],[f1053,f123]) ).
fof(f1120,plain,
arboreal(sK11_skl(sK19_skl,tptp0)),
inference(resolution,[status(thm)],[f1109,f90]) ).
fof(f1121,plain,
! [X0] :
( X0 = sK11_skl(sK19_skl,tptp0)
| min_precedes(sK11_skl(sK19_skl,tptp0),X0,tptp0)
| min_precedes(X0,sK11_skl(sK19_skl,tptp0),tptp0)
| ~ subactivity_occurrence(sK11_skl(sK19_skl,tptp0),sK19_skl)
| ~ subactivity_occurrence(X0,sK19_skl)
| ~ arboreal(X0) ),
inference(resolution,[status(thm)],[f1120,f1023]) ).
fof(f1123,definition,
! [X0] :
( sQ88_spl
<=> ( X0 = sK11_skl(sK19_skl,tptp0)
| min_precedes(sK11_skl(sK19_skl,tptp0),X0,tptp0)
| min_precedes(X0,sK11_skl(sK19_skl,tptp0),tptp0)
| ~ subactivity_occurrence(X0,sK19_skl)
| ~ arboreal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1126,definition,
( sQ89_spl
<=> subactivity_occurrence(sK11_skl(sK19_skl,tptp0),sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( sQ89_spl
| ~ subactivity_occurrence(sK11_skl(sK19_skl,tptp0),sK19_skl) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( ~ sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1121,f1123,f1126]) ).
fof(f1139,plain,
( sQ89_spl
| atomic(tptp0)
| ~ occurrence_of(sK19_skl,tptp0) ),
inference(resolution,[status(thm)],[f1128,f173]) ).
fof(f1141,definition,
( sQ92_spl
<=> atomic(tptp0) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( ~ sQ92_spl
| atomic(tptp0) ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( sQ89_spl
| sQ92_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1139,f298,f1141,f1126]) ).
fof(f1145,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f260]) ).
fof(f1146,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1145]) ).
fof(f1151,definition,
( sQ93_spl
<=> arboreal(sK11_skl(sK19_skl,tptp0)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1153,plain,
( sQ93_spl
| ~ arboreal(sK11_skl(sK19_skl,tptp0)) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1164,plain,
( sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1153,f1120]) ).
fof(f1165,plain,
sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1227,plain,
! [X0] :
( occurrence_of(sK15_skl(tptp0,X0),tptp0)
| ~ leaf(X0,tptp0) ),
inference(resolution,[status(thm)],[f238,f260]) ).
fof(f1287,plain,
occurrence_of(sK15_skl(tptp0,sK16_skl(sK19_skl)),tptp0),
inference(resolution,[status(thm)],[f1227,f448]) ).
fof(f1298,plain,
tptp0 = sK0_skl(sK15_skl(tptp0,sK16_skl(sK19_skl))),
inference(resolution,[status(thm)],[f1287,f288]) ).
fof(f1300,plain,
( occurrence_of(sK15_skl(tptp0,sK16_skl(sK19_skl)),tptp0)
| ~ activity_occurrence(sK15_skl(tptp0,sK16_skl(sK19_skl))) ),
inference(paramodulation,[status(thm)],[f1298,f71]) ).
fof(f1302,definition,
( sQ99_spl
<=> activity_occurrence(sK15_skl(tptp0,sK16_skl(sK19_skl))) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( sQ99_spl
| ~ activity_occurrence(sK15_skl(tptp0,sK16_skl(sK19_skl))) ),
inference(component_clause,[status(thm)],[f1302]) ).
fof(f1305,definition,
( sQ100_spl
<=> occurrence_of(sK15_skl(tptp0,sK16_skl(sK19_skl)),tptp0) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( sQ100_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f1300,f1302,f1305]) ).
fof(f1312,plain,
! [X0] :
( sQ99_spl
| ~ occurrence_of(sK15_skl(tptp0,sK16_skl(sK19_skl)),X0) ),
inference(resolution,[status(thm)],[f1304,f67]) ).
fof(f1321,plain,
( sQ99_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1287,f1312]) ).
fof(f1323,plain,
sQ99_spl,
inference(contradiction_clause,[status(thm)],[f1321]) ).
fof(f1392,plain,
( occurrence_of(sK16_skl(sK19_skl),tptp1)
| occurrence_of(sK16_skl(sK19_skl),tptp2) ),
inference(resolution,[status(thm)],[f256,f274]) ).
fof(f1414,plain,
( sQ11_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1392,f389,f385]) ).
fof(f1419,plain,
( ~ sQ37_spl
| ~ sQ11_spl
| tptp1 = tptp3 ),
inference(resolution,[status(thm)],[f386,f843]) ).
fof(f1424,plain,
( ~ sQ37_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1419,f269]) ).
fof(f1425,plain,
( ~ sQ37_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1424]) ).
fof(f1426,plain,
( ~ sQ37_spl
| ~ sQ12_spl
| tptp2 = tptp3 ),
inference(resolution,[status(thm)],[f390,f843]) ).
fof(f1431,plain,
( ~ sQ37_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1426,f268]) ).
fof(f1432,plain,
( ~ sQ37_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1433,plain,
$false,
inference(sat_refutation,[status(thm)],[f287,f294,f301,f305,f320,f338,f342,f349,f352,f388,f392,f399,f403,f443,f447,f454,f466,f473,f479,f507,f518,f555,f579,f585,f601,f605,f613,f621,f710,f815,f825,f914,f995,f1129,f1144,f1146,f1165,f1308,f1323,f1414,f1425,f1432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO009+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n007.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 03:40:21 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.51 % Drodi V4.1.1
% 0.20/0.64 % Refutation found
% 0.20/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.67 % Elapsed time: 0.184090 seconds
% 0.20/0.67 % CPU time: 0.918131 seconds
% 0.20/0.67 % Total memory used: 79.722 MB
% 0.20/0.67 % Net memory used: 78.879 MB
%------------------------------------------------------------------------------