TSTP Solution File: SWV174+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV174+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 10:47:02 EDT 2024
% Result : Theorem 96.13s 14.08s
% Output : Refutation 96.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 144 ( 25 equ)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 165 ( 40 ~; 31 |; 74 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 43 ( 35 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1498423,plain,
$false,
inference(unit_resulting_resolution,[],[f265,f268,f266,f2373,f270,f263]) ).
fof(f263,plain,
! [X3,X4] :
( ~ leq(X4,n4)
| init = a_select3(q_init,X3,X4)
| ~ leq(n0,X4)
| ~ leq(X3,pred(pv10))
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( init != a_select3(q_init,sK14,sK15)
& gt(pv10,sK14)
& leq(sK15,n4)
& leq(sK14,n135299)
& leq(n0,sK15)
& leq(n0,sK14)
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ leq(X3,pred(pv10))
| ~ leq(n0,X3) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f194,f195]) ).
fof(f195,plain,
( ? [X0,X1] :
( init != a_select3(q_init,X0,X1)
& gt(pv10,X0)
& leq(X1,n4)
& leq(X0,n135299)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(q_init,sK14,sK15)
& gt(pv10,sK14)
& leq(sK15,n4)
& leq(sK14,n135299)
& leq(n0,sK15)
& leq(n0,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( ? [X0,X1] :
( init != a_select3(q_init,X0,X1)
& gt(pv10,X0)
& leq(X1,n4)
& leq(X0,n135299)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ leq(X3,pred(pv10))
| ~ leq(n0,X3) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select3(center_init,X0,n0) )
& ! [X1] :
( ( leq(X1,pred(pv10))
& leq(n0,X1) )
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select3(q_init,X1,X2) ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X3,X4] :
( ( leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
=> ( gt(pv10,X3)
=> init = a_select3(q_init,X3,X4) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,pred(pv10))
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X19,X20] :
( ( leq(X20,n4)
& leq(X19,n135299)
& leq(n0,X20)
& leq(n0,X19) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,pred(pv10))
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X19,X20] :
( ( leq(X20,n4)
& leq(X19,n135299)
& leq(n0,X20)
& leq(n0,X19) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0046) ).
fof(f270,plain,
init != a_select3(q_init,sK14,sK15),
inference(cnf_transformation,[],[f196]) ).
fof(f2373,plain,
leq(sK14,pred(pv10)),
inference(unit_resulting_resolution,[],[f269,f359]) ).
fof(f359,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f269,plain,
gt(pv10,sK14),
inference(cnf_transformation,[],[f196]) ).
fof(f266,plain,
leq(n0,sK15),
inference(cnf_transformation,[],[f196]) ).
fof(f268,plain,
leq(sK15,n4),
inference(cnf_transformation,[],[f196]) ).
fof(f265,plain,
leq(n0,sK14),
inference(cnf_transformation,[],[f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV174+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:07:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (13174)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (13177)WARNING: value z3 for option sas not known
% 0.15/0.38 % (13178)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (13176)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (13175)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (13179)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)
% 0.15/0.38 % (13180)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)
% 0.15/0.38 % (13177)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)
% 0.15/0.38 % (13181)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)
% 0.21/0.49 TRYING [1]
% 0.21/0.49 TRYING [2]
% 1.72/0.60 TRYING [3]
% 6.01/1.22 TRYING [4]
% 8.28/1.60 TRYING [1]
% 8.90/1.66 TRYING [2]
% 8.90/1.69 TRYING [1]
% 9.50/1.72 TRYING [2]
% 10.25/1.88 TRYING [3]
% 18.07/2.94 TRYING [3]
% 18.07/2.98 TRYING [4]
% 22.02/3.50 TRYING [5]
% 57.44/8.56 TRYING [4]
% 71.20/10.50 TRYING [6]
% 75.31/11.08 TRYING [5]
% 96.13/14.05 % (13181)First to succeed.
% 96.13/14.05 % (13181)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13174"
% 96.13/14.08 % (13181)Refutation found. Thanks to Tanya!
% 96.13/14.08 % SZS status Theorem for theBenchmark
% 96.13/14.08 % SZS output start Proof for theBenchmark
% See solution above
% 96.13/14.08 % (13181)------------------------------
% 96.13/14.08 % (13181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 96.13/14.08 % (13181)Termination reason: Refutation
% 96.13/14.08
% 96.13/14.08 % (13181)Memory used [KB]: 221537
% 96.13/14.08 % (13181)Time elapsed: 13.673 s
% 96.13/14.08 % (13181)Instructions burned: 53721 (million)
% 96.13/14.08 % (13174)Success in time 13.486 s
%------------------------------------------------------------------------------