TSTP Solution File: PRO012+3 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : PRO012+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.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 : Mon Jun 24 13:41:30 EDT 2024
% Result : Theorem 1.83s 0.63s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 27 unt; 0 def)
% Number of atoms : 323 ( 21 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 333 ( 96 ~; 101 |; 111 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 192 ( 151 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1033,plain,
$false,
inference(subsumption_resolution,[],[f1032,f1016]) ).
fof(f1016,plain,
~ occurrence_of(sK3(sK0),tptp2),
inference(unit_resulting_resolution,[],[f172,f173,f940,f127]) ).
fof(f127,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK0)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK0)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK0,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f82,f108]) ).
fof(f108,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,sK0)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK0,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f82,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,[],[f65]) ).
fof(f65,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,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp1)
| occurrence_of(X168,tptp2) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp1)
| occurrence_of(X168,tptp2) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f940,plain,
min_precedes(sK1(sK0),sK3(sK0),tptp0),
inference(backward_demodulation,[],[f220,f937]) ).
fof(f937,plain,
sK1(sK0) = sK5(sK3(sK0),tptp0),
inference(unit_resulting_resolution,[],[f222,f424,f539,f144]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f36]) ).
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',unknown) ).
fof(f539,plain,
root_occ(sK5(sK3(sK0),tptp0),sK8(tptp0,sK2(sK0),sK3(sK0))),
inference(unit_resulting_resolution,[],[f219,f222,f353,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK4(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK4(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f113,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK4(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,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,[],[f112]) ).
fof(f112,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,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f34]) ).
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',unknown) ).
fof(f353,plain,
subactivity_occurrence(sK5(sK3(sK0),tptp0),sK8(tptp0,sK2(sK0),sK3(sK0))),
inference(unit_resulting_resolution,[],[f220,f222,f224,f164]) ).
fof(f164,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,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f99]) ).
fof(f99,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,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f224,plain,
subactivity_occurrence(sK3(sK0),sK8(tptp0,sK2(sK0),sK3(sK0))),
inference(unit_resulting_resolution,[],[f176,f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X2,sK8(X0,X1,X2))
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& occurrence_of(sK8(X0,X1,X2),X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f103,f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
=> ( subactivity_occurrence(X2,sK8(X0,X1,X2))
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& occurrence_of(sK8(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f103,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,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f176,plain,
min_precedes(sK2(sK0),sK3(sK0),tptp0),
inference(unit_resulting_resolution,[],[f126,f134]) ).
fof(f134,plain,
! [X0] :
( min_precedes(sK2(X0),sK3(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ! [X4] :
( sK3(X0) = X4
| sK2(X0) = X4
| ~ min_precedes(sK1(X0),X4,tptp0) )
& min_precedes(sK2(X0),sK3(X0),tptp0)
& ( occurrence_of(sK3(X0),tptp1)
| occurrence_of(sK3(X0),tptp2) )
& min_precedes(sK1(X0),sK2(X0),tptp0)
& occurrence_of(sK2(X0),tptp4)
& root_occ(sK1(X0),X0)
& occurrence_of(sK1(X0),tptp3) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f84,f110]) ).
fof(f110,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] :
( sK3(X0) = X4
| sK2(X0) = X4
| ~ min_precedes(sK1(X0),X4,tptp0) )
& min_precedes(sK2(X0),sK3(X0),tptp0)
& ( occurrence_of(sK3(X0),tptp1)
| occurrence_of(sK3(X0),tptp2) )
& min_precedes(sK1(X0),sK2(X0),tptp0)
& occurrence_of(sK2(X0),tptp4)
& root_occ(sK1(X0),X0)
& occurrence_of(sK1(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f84,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,[],[f83]) ).
fof(f83,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,[],[f66]) ).
fof(f66,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,[],[f50]) ).
fof(f50,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163,X164] :
( ! [X165] :
( min_precedes(X162,X165,tptp0)
=> ( X164 = X165
| X163 = X165 ) )
& min_precedes(X163,X164,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& min_precedes(X162,X163,tptp0)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& occurrence_of(X162,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f126,plain,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f109]) ).
fof(f219,plain,
root(sK5(sK3(sK0),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f176,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK5(X1,X2),X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( min_precedes(sK5(X1,X2),X1,X2)
& root(sK5(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f93,f116]) ).
fof(f116,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK5(X1,X2),X1,X2)
& root(sK5(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f424,plain,
root_occ(sK1(sK0),sK8(tptp0,sK2(sK0),sK3(sK0))),
inference(unit_resulting_resolution,[],[f238,f222,f344,f149]) ).
fof(f344,plain,
subactivity_occurrence(sK1(sK0),sK8(tptp0,sK2(sK0),sK3(sK0))),
inference(unit_resulting_resolution,[],[f175,f222,f223,f164]) ).
fof(f223,plain,
subactivity_occurrence(sK2(sK0),sK8(tptp0,sK2(sK0),sK3(sK0))),
inference(unit_resulting_resolution,[],[f176,f167]) ).
fof(f167,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f175,plain,
min_precedes(sK1(sK0),sK2(sK0),tptp0),
inference(unit_resulting_resolution,[],[f126,f132]) ).
fof(f132,plain,
! [X0] :
( min_precedes(sK1(X0),sK2(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f238,plain,
root(sK1(sK0),tptp0),
inference(backward_demodulation,[],[f179,f232]) ).
fof(f232,plain,
sK1(sK0) = sK6(tptp0,sK0),
inference(unit_resulting_resolution,[],[f126,f173,f206,f144]) ).
fof(f206,plain,
root_occ(sK6(tptp0,sK0),sK0),
inference(unit_resulting_resolution,[],[f126,f179,f180,f149]) ).
fof(f180,plain,
subactivity_occurrence(sK6(tptp0,sK0),sK0),
inference(unit_resulting_resolution,[],[f137,f126,f161]) ).
fof(f161,plain,
! [X0,X1] :
( subactivity_occurrence(sK6(X0,X1),X1)
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ( subactivity_occurrence(sK6(X0,X1),X1)
& root(sK6(X0,X1),X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f96,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
=> ( subactivity_occurrence(sK6(X0,X1),X1)
& root(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ~ atomic(X0)
& occurrence_of(X1,X0) )
=> ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) ) ),
inference(rectify,[],[f28]) ).
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',unknown) ).
fof(f137,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f179,plain,
root(sK6(tptp0,sK0),tptp0),
inference(unit_resulting_resolution,[],[f137,f126,f160]) ).
fof(f160,plain,
! [X0,X1] :
( root(sK6(X0,X1),X0)
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f222,plain,
occurrence_of(sK8(tptp0,sK2(sK0),sK3(sK0)),tptp0),
inference(unit_resulting_resolution,[],[f176,f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( occurrence_of(sK8(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f220,plain,
min_precedes(sK5(sK3(sK0),tptp0),sK3(sK0),tptp0),
inference(unit_resulting_resolution,[],[f176,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK5(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f173,plain,
root_occ(sK1(sK0),sK0),
inference(unit_resulting_resolution,[],[f126,f130]) ).
fof(f130,plain,
! [X0] :
( root_occ(sK1(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f172,plain,
occurrence_of(sK1(sK0),tptp3),
inference(unit_resulting_resolution,[],[f126,f129]) ).
fof(f129,plain,
! [X0] :
( occurrence_of(sK1(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f1032,plain,
occurrence_of(sK3(sK0),tptp2),
inference(unit_resulting_resolution,[],[f126,f1015,f133]) ).
fof(f133,plain,
! [X0] :
( occurrence_of(sK3(X0),tptp1)
| occurrence_of(sK3(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f1015,plain,
~ occurrence_of(sK3(sK0),tptp1),
inference(unit_resulting_resolution,[],[f172,f173,f940,f128]) ).
fof(f128,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK0)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO012+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 06:25:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 % (25618)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25622)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.42 % (25618)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25624)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.42 % (25618)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25623)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42 % (25618)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25626)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.42 % (25618)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25621)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.42 % (25618)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25620)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.42 % (25618)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25619)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.48 % (25624)Instruction limit reached!
% 0.21/0.48 % (25624)------------------------------
% 0.21/0.48 % (25624)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (25624)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (25624)Termination reason: Time limit
% 0.21/0.48 % (25624)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (25624)Memory used [KB]: 2248
% 0.21/0.48 % (25624)Time elapsed: 0.062 s
% 0.21/0.48 % (25624)Instructions burned: 132 (million)
% 0.21/0.48 % (25626)Instruction limit reached!
% 0.21/0.48 % (25626)------------------------------
% 0.21/0.48 % (25626)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (25626)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (25626)Termination reason: Time limit
% 0.21/0.48 % (25626)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (25626)Memory used [KB]: 1721
% 0.21/0.48 % (25626)Time elapsed: 0.064 s
% 0.21/0.48 % (25626)Instructions burned: 125 (million)
% 0.21/0.49 % (25623)Instruction limit reached!
% 0.21/0.49 % (25623)------------------------------
% 0.21/0.49 % (25623)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (25623)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (25623)Termination reason: Time limit
% 0.21/0.49 % (25623)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (25623)Memory used [KB]: 2210
% 0.21/0.49 % (25623)Time elapsed: 0.069 s
% 0.21/0.49 % (25623)Instructions burned: 111 (million)
% 1.18/0.51 % (25618)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.51 % (25627)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 1.18/0.52 % (25618)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.52 % (25628)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 1.18/0.52 % (25618)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.52 % (25629)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 1.31/0.56 % (25627)Instruction limit reached!
% 1.31/0.56 % (25627)------------------------------
% 1.31/0.56 % (25627)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.56 % (25627)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.56 % (25627)Termination reason: Time limit
% 1.31/0.56 % (25627)Termination phase: Saturation
% 1.31/0.56
% 1.31/0.56 % (25627)Memory used [KB]: 3089
% 1.31/0.56 % (25627)Time elapsed: 0.049 s
% 1.31/0.56 % (25627)Instructions burned: 126 (million)
% 1.31/0.57 % (25628)Instruction limit reached!
% 1.31/0.57 % (25628)------------------------------
% 1.31/0.57 % (25628)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.57 % (25628)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.57 % (25628)Termination reason: Time limit
% 1.31/0.57 % (25628)Termination phase: Saturation
% 1.31/0.57
% 1.31/0.57 % (25628)Memory used [KB]: 2757
% 1.31/0.57 % (25628)Time elapsed: 0.056 s
% 1.31/0.57 % (25628)Instructions burned: 145 (million)
% 1.31/0.58 % (25629)Instruction limit reached!
% 1.31/0.58 % (25629)------------------------------
% 1.31/0.58 % (25629)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.58 % (25629)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.58 % (25629)Termination reason: Time limit
% 1.31/0.58 % (25629)Termination phase: Saturation
% 1.31/0.58
% 1.31/0.58 % (25629)Memory used [KB]: 3521
% 1.31/0.58 % (25629)Time elapsed: 0.057 s
% 1.31/0.58 % (25629)Instructions burned: 175 (million)
% 1.31/0.60 % (25618)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.60 % (25630)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2998ds/226Mi)
% 1.31/0.60 % (25618)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.60 % (25631)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/247Mi)
% 1.31/0.61 % (25618)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.61 % (25632)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2997ds/230Mi)
% 1.83/0.63 % (25632)First to succeed.
% 1.83/0.63 % (25632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25618"
% 1.83/0.63 % (25618)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.63 % (25632)Refutation found. Thanks to Tanya!
% 1.83/0.63 % SZS status Theorem for theBenchmark
% 1.83/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.63 % (25632)------------------------------
% 1.83/0.63 % (25632)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.63 % (25632)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.63 % (25632)Termination reason: Refutation
% 1.83/0.63
% 1.83/0.63 % (25632)Memory used [KB]: 1686
% 1.83/0.63 % (25632)Time elapsed: 0.021 s
% 1.83/0.63 % (25632)Instructions burned: 58 (million)
% 1.83/0.63 % (25632)------------------------------
% 1.83/0.63 % (25632)------------------------------
% 1.83/0.63 % (25618)Success in time 0.261 s
%------------------------------------------------------------------------------