TSTP Solution File: PRO012+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO012+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Tue May 21 02:23:25 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 185 ( 18 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 204 ( 57 ~; 65 |; 72 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 84 ( 55 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3784,plain,
$false,
inference(subsumption_resolution,[],[f3781,f3752]) ).
fof(f3752,plain,
~ occurrence_of(sK8(sK4),tptp2),
inference(unit_resulting_resolution,[],[f298,f320,f3745,f182]) ).
fof(f182,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK4)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK4)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK4,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f83,f136]) ).
fof(f136,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,sK4)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK4,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f83,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,
~ ! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( min_precedes(X101,X102,tptp0)
& ( occurrence_of(X102,tptp1)
| occurrence_of(X102,tptp2) )
& root_occ(X101,X100)
& occurrence_of(X101,tptp3) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( min_precedes(X101,X102,tptp0)
& ( occurrence_of(X102,tptp1)
| occurrence_of(X102,tptp2) )
& root_occ(X101,X100)
& occurrence_of(X101,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f3745,plain,
min_precedes(sK6(sK4),sK8(sK4),tptp0),
inference(unit_resulting_resolution,[],[f402,f427,f267]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X2,X3)
| min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X2,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X2,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X1,X2,X3)
& min_precedes(X0,X1,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f427,plain,
min_precedes(sK7(sK4),sK8(sK4),tptp0),
inference(unit_resulting_resolution,[],[f278,f205]) ).
fof(f205,plain,
! [X0] :
( ~ sP0(X0)
| min_precedes(sK7(X0),sK8(X0),tptp0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( ! [X4] :
( sK8(X0) = X4
| sK7(X0) = X4
| ~ min_precedes(sK6(X0),X4,tptp0) )
& min_precedes(sK7(X0),sK8(X0),tptp0)
& ( occurrence_of(sK8(X0),tptp1)
| occurrence_of(sK8(X0),tptp2) )
& min_precedes(sK6(X0),sK7(X0),tptp0)
& occurrence_of(sK7(X0),tptp4)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp3) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f140,f141]) ).
fof(f141,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] :
( sK8(X0) = X4
| sK7(X0) = X4
| ~ min_precedes(sK6(X0),X4,tptp0) )
& min_precedes(sK7(X0),sK8(X0),tptp0)
& ( occurrence_of(sK8(X0),tptp1)
| occurrence_of(sK8(X0),tptp2) )
& min_precedes(sK6(X0),sK7(X0),tptp0)
& occurrence_of(sK7(X0),tptp4)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f140,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,[],[f128]) ).
fof(f128,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(f278,plain,
sP0(sK4),
inference(unit_resulting_resolution,[],[f181,f207]) ).
fof(f207,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f88,f128]) ).
fof(f88,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,[],[f87]) ).
fof(f87,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,[],[f52]) ).
fof(f52,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,
! [X95] :
( occurrence_of(X95,tptp0)
=> ? [X96,X97,X98] :
( ! [X99] :
( min_precedes(X96,X99,tptp0)
=> ( X98 = X99
| X97 = X99 ) )
& min_precedes(X97,X98,tptp0)
& ( occurrence_of(X98,tptp1)
| occurrence_of(X98,tptp2) )
& min_precedes(X96,X97,tptp0)
& occurrence_of(X97,tptp4)
& root_occ(X96,X95)
& occurrence_of(X96,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f181,plain,
occurrence_of(sK4,tptp0),
inference(cnf_transformation,[],[f137]) ).
fof(f402,plain,
min_precedes(sK6(sK4),sK7(sK4),tptp0),
inference(unit_resulting_resolution,[],[f278,f203]) ).
fof(f203,plain,
! [X0] :
( ~ sP0(X0)
| min_precedes(sK6(X0),sK7(X0),tptp0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f320,plain,
root_occ(sK6(sK4),sK4),
inference(unit_resulting_resolution,[],[f278,f201]) ).
fof(f201,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK6(X0),X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f298,plain,
occurrence_of(sK6(sK4),tptp3),
inference(unit_resulting_resolution,[],[f278,f200]) ).
fof(f200,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK6(X0),tptp3) ),
inference(cnf_transformation,[],[f142]) ).
fof(f3781,plain,
occurrence_of(sK8(sK4),tptp2),
inference(unit_resulting_resolution,[],[f278,f3751,f204]) ).
fof(f204,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK8(X0),tptp2)
| occurrence_of(sK8(X0),tptp1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f3751,plain,
~ occurrence_of(sK8(sK4),tptp1),
inference(unit_resulting_resolution,[],[f298,f320,f3745,f183]) ).
fof(f183,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK4)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : PRO012+2 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 04:04:07 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (22431)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (22432)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (22433)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (22437)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)
% 0.15/0.32 % (22435)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (22434)WARNING: value z3 for option sas not known
% 0.15/0.32 % (22436)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)
% 0.15/0.32 % (22434)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)
% 0.15/0.32 Detected minimum model sizes of [4]
% 0.15/0.32 Detected maximum model sizes of [max]
% 0.15/0.33 Detected minimum model sizes of [4]
% 0.15/0.33 Detected maximum model sizes of [max]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 % (22438)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)
% 0.15/0.33 TRYING [4]
% 0.15/0.34 TRYING [5]
% 0.15/0.34 TRYING [5]
% 0.15/0.37 TRYING [6]
% 0.15/0.37 Detected minimum model sizes of [4]
% 0.15/0.37 Detected maximum model sizes of [max]
% 0.15/0.37 TRYING [4]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [6]
% 0.15/0.39 % (22438)First to succeed.
% 0.15/0.39 % (22438)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22431"
% 0.15/0.40 % (22438)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (22438)------------------------------
% 0.15/0.40 % (22438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (22438)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (22438)Memory used [KB]: 1797
% 0.15/0.40 % (22438)Time elapsed: 0.070 s
% 0.15/0.40 % (22438)Instructions burned: 126 (million)
% 0.15/0.40 % (22431)Success in time 0.085 s
%------------------------------------------------------------------------------