TSTP Solution File: PRO012+4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO012+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 : n008.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 08:47:37 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 103 ( 33 unt; 0 def)
% Number of atoms : 368 ( 33 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 377 ( 112 ~; 118 |; 122 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 227 ( 182 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3079,plain,
$false,
inference(subsumption_resolution,[],[f3076,f3046]) ).
fof(f3046,plain,
~ occurrence_of(sK7(sK3),tptp2),
inference(unit_resulting_resolution,[],[f281,f293,f2942,f182]) ).
fof(f182,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK3)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK3)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK3,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f88,f140]) ).
fof(f140,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,X0)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(X0,tptp0) )
=> ( ! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK3)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK3,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
? [X0] :
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,X0)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( min_precedes(X1,X2,tptp0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f2942,plain,
min_precedes(sK5(sK3),sK7(sK3),tptp0),
inference(superposition,[],[f875,f2914]) ).
fof(f2914,plain,
sK5(sK3) = sK16(sK7(sK3),tptp0),
inference(forward_demodulation,[],[f2905,f2722]) ).
fof(f2722,plain,
sK5(sK3) = sK16(sK6(sK3),tptp0),
inference(unit_resulting_resolution,[],[f1062,f2639,f2675,f266]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ sP22(X2) ),
inference(general_splitting,[],[f254,f265_D]) ).
fof(f265,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| sP22(X2) ),
inference(cnf_transformation,[],[f265_D]) ).
fof(f265_D,plain,
! [X2] :
( ! [X3] : ~ occurrence_of(X2,X3)
<=> ~ sP22(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,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(f2675,plain,
root_occ(sK16(sK6(sK3),tptp0),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f466,f970,f2624,f235]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,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])],[f170,f171]) ).
fof(f171,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(f170,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,[],[f169]) ).
fof(f169,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,[],[f63]) ).
fof(f63,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(f2624,plain,
subactivity_occurrence(sK16(sK6(sK3),tptp0),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f970,f1236,f874,f256]) ).
fof(f256,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,[],[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(flattening,[],[f128]) ).
fof(f128,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,[],[f78]) ).
fof(f78,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(f874,plain,
min_precedes(sK16(sK6(sK3),tptp0),sK6(sK3),tptp0),
inference(unit_resulting_resolution,[],[f365,f241]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK16(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ( min_precedes(sK16(X1,X2),X1,X2)
& root(sK16(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f108,f173]) ).
fof(f173,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK16(X1,X2),X1,X2)
& root(sK16(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,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(f365,plain,
min_precedes(sK5(sK3),sK6(sK3),tptp0),
inference(unit_resulting_resolution,[],[f269,f200]) ).
fof(f200,plain,
! [X0] :
( ~ sP0(X0)
| min_precedes(sK5(X0),sK6(X0),tptp0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( ! [X4] :
( sK7(X0) = X4
| sK6(X0) = X4
| ~ min_precedes(sK5(X0),X4,tptp0) )
& min_precedes(sK6(X0),sK7(X0),tptp0)
& ( occurrence_of(sK7(X0),tptp1)
| occurrence_of(sK7(X0),tptp2) )
& min_precedes(sK5(X0),sK6(X0),tptp0)
& occurrence_of(sK6(X0),tptp4)
& root_occ(sK5(X0),X0)
& occurrence_of(sK5(X0),tptp3) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f144,f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
=> ( ! [X4] :
( sK7(X0) = X4
| sK6(X0) = X4
| ~ min_precedes(sK5(X0),X4,tptp0) )
& min_precedes(sK6(X0),sK7(X0),tptp0)
& ( occurrence_of(sK7(X0),tptp1)
| occurrence_of(sK7(X0),tptp2) )
& min_precedes(sK5(X0),sK6(X0),tptp0)
& occurrence_of(sK6(X0),tptp4)
& root_occ(sK5(X0),X0)
& occurrence_of(sK5(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f269,plain,
sP0(sK3),
inference(unit_resulting_resolution,[],[f181,f204]) ).
fof(f204,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f92,f134]) ).
fof(f92,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ occurrence_of(X0,tptp0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( ! [X4] :
( min_precedes(X1,X4,tptp0)
=> ( X3 = X4
| X2 = X4 ) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103,X104] :
( ! [X105] :
( min_precedes(X102,X105,tptp0)
=> ( X104 = X105
| X103 = X105 ) )
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& min_precedes(X102,X103,tptp0)
& occurrence_of(X103,tptp4)
& root_occ(X102,X101)
& occurrence_of(X102,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f181,plain,
occurrence_of(sK3,tptp0),
inference(cnf_transformation,[],[f141]) ).
fof(f1236,plain,
subactivity_occurrence(sK6(sK3),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f463,f243]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X1,sK17(X0,X1,X2)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X0,sK17(X0,X1,X2))
& subactivity_occurrence(X1,sK17(X0,X1,X2))
& occurrence_of(sK17(X0,X1,X2),X2) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f176,f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
=> ( subactivity_occurrence(X0,sK17(X0,X1,X2))
& subactivity_occurrence(X1,sK17(X0,X1,X2))
& occurrence_of(sK17(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,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(f463,plain,
sP2(sK7(sK3),sK6(sK3),tptp0),
inference(unit_resulting_resolution,[],[f390,f245]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( sP2(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f109,f138]) ).
fof(f109,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,[],[f68]) ).
fof(f68,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(f390,plain,
min_precedes(sK6(sK3),sK7(sK3),tptp0),
inference(unit_resulting_resolution,[],[f269,f202]) ).
fof(f202,plain,
! [X0] :
( ~ sP0(X0)
| min_precedes(sK6(X0),sK7(X0),tptp0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f970,plain,
occurrence_of(sK17(sK7(sK3),sK6(sK3),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f463,f242]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| occurrence_of(sK17(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f466,plain,
root(sK16(sK6(sK3),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f365,f240]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK16(X1,X2),X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f2639,plain,
root_occ(sK5(sK3),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f587,f970,f2618,f235]) ).
fof(f2618,plain,
subactivity_occurrence(sK5(sK3),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f970,f1236,f365,f256]) ).
fof(f587,plain,
root(sK5(sK3),tptp0),
inference(superposition,[],[f437,f523]) ).
fof(f523,plain,
tptp0 = sK15(sK5(sK3),sK3),
inference(unit_resulting_resolution,[],[f181,f422,f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,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(f422,plain,
occurrence_of(sK3,sK15(sK5(sK3),sK3)),
inference(unit_resulting_resolution,[],[f293,f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f437,plain,
root(sK5(sK3),sK15(sK5(sK3),sK3)),
inference(unit_resulting_resolution,[],[f293,f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1062,plain,
sP22(sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f970,f265]) ).
fof(f2905,plain,
sK16(sK6(sK3),tptp0) = sK16(sK7(sK3),tptp0),
inference(unit_resulting_resolution,[],[f1062,f2675,f2689,f266]) ).
fof(f2689,plain,
root_occ(sK16(sK7(sK3),tptp0),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f467,f970,f2628,f235]) ).
fof(f2628,plain,
subactivity_occurrence(sK16(sK7(sK3),tptp0),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f970,f1427,f875,f256]) ).
fof(f1427,plain,
subactivity_occurrence(sK7(sK3),sK17(sK7(sK3),sK6(sK3),tptp0)),
inference(unit_resulting_resolution,[],[f463,f244]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X0,sK17(X0,X1,X2)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f467,plain,
root(sK16(sK7(sK3),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f390,f240]) ).
fof(f875,plain,
min_precedes(sK16(sK7(sK3),tptp0),sK7(sK3),tptp0),
inference(unit_resulting_resolution,[],[f390,f241]) ).
fof(f293,plain,
root_occ(sK5(sK3),sK3),
inference(unit_resulting_resolution,[],[f269,f198]) ).
fof(f198,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK5(X0),X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f281,plain,
occurrence_of(sK5(sK3),tptp3),
inference(unit_resulting_resolution,[],[f269,f197]) ).
fof(f197,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK5(X0),tptp3) ),
inference(cnf_transformation,[],[f146]) ).
fof(f3076,plain,
occurrence_of(sK7(sK3),tptp2),
inference(unit_resulting_resolution,[],[f269,f3045,f201]) ).
fof(f201,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK7(X0),tptp2)
| occurrence_of(sK7(X0),tptp1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f3045,plain,
~ occurrence_of(sK7(sK3),tptp1),
inference(unit_resulting_resolution,[],[f281,f293,f2942,f183]) ).
fof(f183,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK3)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PRO012+4 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:37:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (15646)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (15649)WARNING: value z3 for option sas not known
% 0.16/0.38 % (15647)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (15648)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (15650)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (15649)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)
% 0.16/0.39 % (15651)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)
% 0.16/0.39 % (15652)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)
% 0.16/0.39 % (15653)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)
% 0.16/0.39 Detected minimum model sizes of [4]
% 0.16/0.39 Detected maximum model sizes of [max]
% 0.16/0.39 Detected minimum model sizes of [4]
% 0.16/0.39 Detected maximum model sizes of [max]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [4]
% 0.16/0.40 TRYING [5]
% 0.22/0.40 TRYING [5]
% 0.22/0.44 % (15653)First to succeed.
% 0.22/0.44 TRYING [6]
% 0.22/0.44 % (15653)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15646"
% 0.22/0.44 % (15653)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (15653)------------------------------
% 0.22/0.45 % (15653)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45 % (15653)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (15653)Memory used [KB]: 1697
% 0.22/0.45 % (15653)Time elapsed: 0.060 s
% 0.22/0.45 % (15653)Instructions burned: 101 (million)
% 0.22/0.45 % (15646)Success in time 0.078 s
%------------------------------------------------------------------------------