TSTP Solution File: PRO003+4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO003+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:47:31 EDT 2024
% Result : Theorem 1.41s 0.55s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 139 ( 46 unt; 0 def)
% Number of atoms : 421 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 421 ( 139 ~; 124 |; 122 &)
% ( 11 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 294 ( 250 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9917,plain,
$false,
inference(subsumption_resolution,[],[f9847,f779]) ).
fof(f779,plain,
~ occurrence_of(sK9(sK6(sK4)),tptp3),
inference(unit_resulting_resolution,[],[f199,f770,f256]) ).
fof(f256,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X28,X29,X30] :
( ( occurrence_of(X28,X30)
& occurrence_of(X28,X29) )
=> X29 = X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f770,plain,
occurrence_of(sK9(sK6(sK4)),tptp1),
inference(unit_resulting_resolution,[],[f304,f190,f218]) ).
fof(f218,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(sK9(X0),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ( next_subocc(X0,sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp1) )
| ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f100,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
=> ( next_subocc(X0,sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X104,X105] :
( ( root_occ(X104,X105)
& occurrence_of(X105,tptp0) )
=> ? [X106] :
( next_subocc(X104,X106,tptp0)
& occurrence_of(X106,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(f190,plain,
occurrence_of(sK4,tptp0),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
occurrence_of(sK4,tptp0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f50,f143]) ).
fof(f143,plain,
( ? [X0] : occurrence_of(X0,tptp0)
=> occurrence_of(sK4,tptp0) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f49]) ).
fof(f49,plain,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(rectify,[],[f48]) ).
fof(f48,negated_conjecture,
~ ~ ? [X107] : occurrence_of(X107,tptp0),
inference(negated_conjecture,[],[f47]) ).
fof(f47,conjecture,
~ ? [X107] : occurrence_of(X107,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f304,plain,
root_occ(sK6(sK4),sK4),
inference(unit_resulting_resolution,[],[f280,f205]) ).
fof(f205,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK6(X0),X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( next_subocc(sK6(X0),sK7(X0),tptp0)
& leaf_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp3)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp4) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f147,f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
=> ( next_subocc(sK6(X0),sK7(X0),tptp0)
& leaf_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp3)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f280,plain,
sP0(sK4),
inference(unit_resulting_resolution,[],[f190,f209]) ).
fof(f209,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f92,f135]) ).
fof(f92,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103] :
( next_subocc(X102,X103,tptp0)
& leaf_occ(X103,X101)
& occurrence_of(X103,tptp3)
& root_occ(X102,X101)
& occurrence_of(X102,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f199,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(f9847,plain,
occurrence_of(sK9(sK6(sK4)),tptp3),
inference(superposition,[],[f1690,f9842]) ).
fof(f9842,plain,
sK9(sK6(sK4)) = sK7(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f773,f1642,f1640,f1689,f9500,f266]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,X1)
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| X2 = X3
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ( ~ min_precedes(X2,X3,X0)
& arboreal(X2)
& leaf_occ(X3,X1)
& subactivity_occurrence(X2,X1)
& occurrence_of(X1,X0) )
=> X2 = X3 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X8,X9,X10,X11] :
( ( ~ min_precedes(X10,X11,X8)
& arboreal(X10)
& leaf_occ(X11,X9)
& subactivity_occurrence(X10,X9)
& occurrence_of(X9,X8) )
=> X10 = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f9500,plain,
~ min_precedes(sK9(sK6(sK4)),sK7(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f1584,f9497,f258]) ).
fof(f258,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ min_precedes(X2,X4,X0)
| ~ min_precedes(X4,X1,X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( min_precedes(sK19(X0,X1,X2),X1,X0)
& min_precedes(X2,sK19(X0,X1,X2),X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f186,f187]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK19(X0,X1,X2),X1,X0)
& min_precedes(X2,sK19(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X2,X1,X0] :
( ( sP3(X2,X1,X0)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ sP3(X2,X1,X0) ) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X2,X1,X0] :
( ( sP3(X2,X1,X0)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ sP3(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X2,X1,X0] :
( sP3(X2,X1,X0)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f9497,plain,
sP3(tptp0,sK7(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK6(sK4)),
inference(forward_demodulation,[],[f9490,f8262]) ).
fof(f8262,plain,
sK6(sK4) = sK6(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(forward_demodulation,[],[f8254,f5036]) ).
fof(f5036,plain,
sK6(sK4) = sK17(sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f1678,f3110,f5009,f277]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ sP23(X2) ),
inference(general_splitting,[],[f265,f276_D]) ).
fof(f276,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| sP23(X2) ),
inference(cnf_transformation,[],[f276_D]) ).
fof(f276_D,plain,
! [X2] :
( ! [X3] : ~ occurrence_of(X2,X3)
<=> ~ sP23(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X90,X91,X92,X93] :
( ( root_occ(X91,X92)
& root_occ(X90,X92)
& occurrence_of(X92,X93) )
=> X90 = X91 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f5009,plain,
root_occ(sK17(sK9(sK6(sK4)),tptp0),sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1590,f1642,f4286,f238]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK15(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK15(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f171,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK15(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X58,X59] :
( root_occ(X58,X59)
<=> ? [X60] :
( root(X58,X60)
& subactivity_occurrence(X58,X59)
& occurrence_of(X59,X60) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(f4286,plain,
subactivity_occurrence(sK17(sK9(sK6(sK4)),tptp0),sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1642,f1640,f1591,f267]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| subactivity_occurrence(X0,X3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X82,X83,X84,X85] :
( ( subactivity_occurrence(X83,X85)
& occurrence_of(X85,X84)
& min_precedes(X82,X83,X84) )
=> subactivity_occurrence(X82,X85) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(f1591,plain,
min_precedes(sK17(sK9(sK6(sK4)),tptp0),sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f1584,f248]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK17(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( min_precedes(sK17(X1,X2),X1,X2)
& root(sK17(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f110,f178]) ).
fof(f178,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK17(X1,X2),X1,X2)
& root(sK17(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X68,X69,X70] :
( min_precedes(X68,X69,X70)
=> ? [X71] :
( min_precedes(X71,X69,X70)
& root(X71,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
fof(f1590,plain,
root(sK17(sK9(sK6(sK4)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1584,f247]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK17(X1,X2),X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f3110,plain,
root_occ(sK6(sK4),sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f600,f1642,f1641,f238]) ).
fof(f1641,plain,
subactivity_occurrence(sK6(sK4),sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1592,f250]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X1,sK18(X0,X1,X2)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X0,sK18(X0,X1,X2))
& subactivity_occurrence(X1,sK18(X0,X1,X2))
& occurrence_of(sK18(X0,X1,X2),X2) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f181,f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
=> ( subactivity_occurrence(X0,sK18(X0,X1,X2))
& subactivity_occurrence(X1,sK18(X0,X1,X2))
& occurrence_of(sK18(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1592,plain,
sP2(sK9(sK6(sK4)),sK6(sK4),tptp0),
inference(unit_resulting_resolution,[],[f1584,f252]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( sP2(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f111,f139]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X21,X22,X23] :
( min_precedes(X22,X23,X21)
=> ? [X24] :
( subactivity_occurrence(X23,X24)
& subactivity_occurrence(X22,X24)
& occurrence_of(X24,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f600,plain,
root(sK6(sK4),tptp0),
inference(superposition,[],[f404,f528]) ).
fof(f528,plain,
tptp0 = sK15(sK6(sK4),sK4),
inference(unit_resulting_resolution,[],[f190,f390,f256]) ).
fof(f390,plain,
occurrence_of(sK4,sK15(sK6(sK4),sK4)),
inference(unit_resulting_resolution,[],[f304,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f404,plain,
root(sK6(sK4),sK15(sK6(sK4),sK4)),
inference(unit_resulting_resolution,[],[f304,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f1678,plain,
sP23(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1642,f276]) ).
fof(f8254,plain,
sK17(sK9(sK6(sK4)),tptp0) = sK6(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1678,f5009,f1691,f277]) ).
fof(f1691,plain,
root_occ(sK6(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1657,f205]) ).
fof(f1657,plain,
sP0(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1642,f209]) ).
fof(f9490,plain,
sP3(tptp0,sK7(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK6(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f1688,f261]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP3(X2,X1,X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ sP3(X2,X1,X0) )
& ( sP3(X2,X1,X0)
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP3(X2,X1,X0) ),
inference(definition_folding,[],[f120,f141]) ).
fof(f120,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X78,X79,X80] :
( next_subocc(X78,X79,X80)
<=> ( ~ ? [X81] :
( min_precedes(X81,X79,X80)
& min_precedes(X78,X81,X80) )
& min_precedes(X78,X79,X80) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(f1688,plain,
next_subocc(sK6(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK7(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f1657,f208]) ).
fof(f208,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK6(X0),sK7(X0),tptp0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f1584,plain,
min_precedes(sK6(sK4),sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f1577,f257]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1577,plain,
sP3(tptp0,sK9(sK6(sK4)),sK6(sK4)),
inference(unit_resulting_resolution,[],[f1553,f261]) ).
fof(f1553,plain,
next_subocc(sK6(sK4),sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f304,f190,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| next_subocc(X0,sK9(X0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1689,plain,
leaf_occ(sK7(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1657,f207]) ).
fof(f207,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK7(X0),X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f1640,plain,
subactivity_occurrence(sK9(sK6(sK4)),sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f1592,f251]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X0,sK18(X0,X1,X2)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f1642,plain,
occurrence_of(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1592,f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| occurrence_of(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f773,plain,
arboreal(sK9(sK6(sK4))),
inference(unit_resulting_resolution,[],[f195,f770,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X51,X52] :
( occurrence_of(X51,X52)
=> ( arboreal(X51)
<=> atomic(X52) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f195,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f1690,plain,
occurrence_of(sK7(sK18(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp3),
inference(unit_resulting_resolution,[],[f1657,f206]) ).
fof(f206,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK7(X0),tptp3) ),
inference(cnf_transformation,[],[f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PRO003+4 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:36:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.36 % (26147)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (26150)WARNING: value z3 for option sas not known
% 0.21/0.38 % (26148)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (26151)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (26149)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (26150)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (26152)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (26153)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (26154)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 Detected minimum model sizes of [4]
% 0.21/0.39 Detected minimum model sizes of [4]
% 0.21/0.39 Detected maximum model sizes of [max]
% 0.21/0.39 Detected maximum model sizes of [max]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.40 TRYING [5]
% 0.21/0.44 TRYING [6]
% 0.21/0.45 TRYING [6]
% 0.21/0.53 TRYING [7]
% 1.41/0.55 TRYING [7]
% 1.41/0.55 % (26154)First to succeed.
% 1.41/0.55 % (26154)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26147"
% 1.41/0.55 % (26154)Refutation found. Thanks to Tanya!
% 1.41/0.55 % SZS status Theorem for theBenchmark
% 1.41/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.55 % (26154)------------------------------
% 1.41/0.55 % (26154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.41/0.55 % (26154)Termination reason: Refutation
% 1.41/0.55
% 1.41/0.55 % (26154)Memory used [KB]: 3159
% 1.41/0.55 % (26154)Time elapsed: 0.172 s
% 1.41/0.55 % (26154)Instructions burned: 448 (million)
% 1.41/0.55 % (26147)Success in time 0.186 s
%------------------------------------------------------------------------------