TSTP Solution File: DAT044_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT044_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 05:05:44 EDT 2024
% Result : Theorem 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 46 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 10 |; 5 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 71 ( 22 atm; 13 fun; 11 num; 25 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f795,plain,
$false,
inference(resolution,[],[f788,f106]) ).
tff(f106,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f101,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f101,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f27,f23]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f788,plain,
~ $less(count(sK0),$sum(1,count(sK0))),
inference(backward_demodulation,[],[f55,f785]) ).
tff(f785,plain,
count(add(sK1,sK0)) = $sum(1,count(sK0)),
inference(resolution,[],[f83,f86]) ).
tff(f86,plain,
~ in(sK1,sK0),
inference(resolution,[],[f54,f23]) ).
tff(f54,plain,
! [X2: $int] :
( $less(X2,sK1)
| ~ in(X2,sK0) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
( ~ $less(count(sK0),count(add(sK1,sK0)))
& ! [X2: $int] :
( $less(X2,sK1)
| ~ in(X2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f41,f43]) ).
tff(f43,plain,
( ? [X0: collection,X1: $int] :
( ~ $less(count(X0),count(add(X1,X0)))
& ! [X2: $int] :
( $less(X2,X1)
| ~ in(X2,X0) ) )
=> ( ~ $less(count(sK0),count(add(sK1,sK0)))
& ! [X2: $int] :
( $less(X2,sK1)
| ~ in(X2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
? [X0: collection,X1: $int] :
( ~ $less(count(X0),count(add(X1,X0)))
& ! [X2: $int] :
( $less(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X0: collection,X1: $int] :
( ! [X2: $int] :
( in(X2,X0)
=> $less(X2,X1) )
=> $less(count(X0),count(add(X1,X0))) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection,X1: $int] :
( ! [X2: $int] :
( in(X2,X0)
=> $greater(X1,X2) )
=> $greater(count(add(X1,X0)),count(X0)) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection,X1: $int] :
( ! [X2: $int] :
( in(X2,X0)
=> $greater(X1,X2) )
=> $greater(count(add(X1,X0)),count(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f83,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(add(X0,X1)) = $sum(1,count(X1)) ) ),
inference(forward_demodulation,[],[f65,f18]) ).
tff(f65,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) )
& ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X13: $int,X14: collection] :
( ~ in(X13,X14)
<=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f55,plain,
~ $less(count(sK0),count(add(sK1,sK0))),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : DAT044_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 12:56:31 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (15377)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (15382)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)
% 0.12/0.34 % (15384)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)
% 0.12/0.34 % (15383)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)
% 0.12/0.34 % (15380)WARNING: value z3 for option sas not known
% 0.12/0.34 % (15378)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (15378)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.35 % (15378)Terminated due to inappropriate strategy.
% 0.12/0.35 % (15378)------------------------------
% 0.12/0.35 % (15378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (15378)Termination reason: Inappropriate
% 0.12/0.35
% 0.12/0.35 % (15378)Memory used [KB]: 766
% 0.12/0.35 % (15378)Time elapsed: 0.003 s
% 0.12/0.35 % (15378)Instructions burned: 3 (million)
% 0.12/0.35 % (15381)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (15379)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (15380)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)
% 0.12/0.35 % (15378)------------------------------
% 0.12/0.35 % (15378)------------------------------
% 0.12/0.35 % (15379)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.35 % (15381)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.35 % (15379)Terminated due to inappropriate strategy.
% 0.12/0.35 % (15379)------------------------------
% 0.12/0.35 % (15379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (15379)Termination reason: Inappropriate
% 0.12/0.35
% 0.12/0.35 % (15379)Memory used [KB]: 767
% 0.12/0.35 % (15379)Time elapsed: 0.003 s
% 0.12/0.35 % (15379)Instructions burned: 3 (million)
% 0.12/0.35 % (15381)Terminated due to inappropriate strategy.
% 0.12/0.35 % (15381)------------------------------
% 0.12/0.35 % (15381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (15381)Termination reason: Inappropriate
% 0.12/0.35
% 0.12/0.35 % (15381)Memory used [KB]: 766
% 0.12/0.35 % (15381)Time elapsed: 0.003 s
% 0.12/0.35 % (15381)Instructions burned: 3 (million)
% 0.12/0.35 % (15379)------------------------------
% 0.12/0.35 % (15379)------------------------------
% 0.12/0.35 % (15381)------------------------------
% 0.12/0.35 % (15381)------------------------------
% 0.12/0.36 % (15385)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.18/0.36 % (15385)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.36 % (15385)Terminated due to inappropriate strategy.
% 0.18/0.36 % (15385)------------------------------
% 0.18/0.36 % (15385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.36 % (15385)Termination reason: Inappropriate
% 0.18/0.36
% 0.18/0.36 % (15385)Memory used [KB]: 766
% 0.18/0.36 % (15385)Time elapsed: 0.002 s
% 0.18/0.36 % (15385)Instructions burned: 3 (million)
% 0.18/0.36 % (15385)------------------------------
% 0.18/0.36 % (15385)------------------------------
% 0.18/0.36 % (15386)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.18/0.36 % (15387)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.18/0.38 % (15383)First to succeed.
% 0.18/0.38 % (15383)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15377"
% 0.18/0.38 % (15383)Refutation found. Thanks to Tanya!
% 0.18/0.38 % SZS status Theorem for theBenchmark
% 0.18/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.38 % (15383)------------------------------
% 0.18/0.38 % (15383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.38 % (15383)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (15383)Memory used [KB]: 1280
% 0.18/0.38 % (15383)Time elapsed: 0.034 s
% 0.18/0.38 % (15383)Instructions burned: 59 (million)
% 0.18/0.38 % (15377)Success in time 0.036 s
%------------------------------------------------------------------------------