TSTP Solution File: ARI164_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI164_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 May 20 18:49:34 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 39 ( 6 atm; 12 fun; 9 num; 12 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 8 !; 4 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(f23,plain,
$false,
inference(evaluation,[],[f21]) ).
tff(f21,plain,
~ $less($uminus(1),0),
inference(superposition,[],[f17,f18]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f17,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,1)),
inference(equality_resolution,[],[f16]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ( $sum(X0,1) != X1 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ( $sum(X0,1) != X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int] :
( $less(X0,X1)
& ( $sum(X0,1) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int,X1: $int] :
( $less(X0,X1)
& ( $sum(X0,1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exist_bigger_plus_one) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI164_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.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
% 0.15/0.35 % DateTime : Sun May 19 13:18:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (22825)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (22830)WARNING: value z3 for option sas not known
% 0.15/0.37 % (22830)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)
% 0.15/0.37 % (22834)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)
% 0.15/0.37 % (22828)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (22828)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (22828)Terminated due to inappropriate strategy.
% 0.15/0.37 % (22828)------------------------------
% 0.15/0.37 % (22828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (22828)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (22828)Memory used [KB]: 721
% 0.15/0.37 % (22828)Time elapsed: 0.002 s
% 0.15/0.37 % (22828)Instructions burned: 2 (million)
% 0.15/0.37 % (22829)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (22828)------------------------------
% 0.15/0.37 % (22828)------------------------------
% 0.15/0.37 % (22832)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)
% 0.15/0.37 % (22829)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (22829)Terminated due to inappropriate strategy.
% 0.15/0.37 % (22829)------------------------------
% 0.15/0.37 % (22829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (22829)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (22829)Memory used [KB]: 721
% 0.15/0.37 % (22829)Time elapsed: 0.003 s
% 0.15/0.37 % (22829)Instructions burned: 2 (million)
% 0.15/0.37 % (22833)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)
% 0.15/0.37 % (22834)First to succeed.
% 0.15/0.37 % (22829)------------------------------
% 0.15/0.37 % (22829)------------------------------
% 0.15/0.37 % (22831)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (22834)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22825"
% 0.15/0.37 % (22831)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (22831)Terminated due to inappropriate strategy.
% 0.15/0.37 % (22831)------------------------------
% 0.15/0.37 % (22831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (22831)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (22831)Memory used [KB]: 721
% 0.15/0.37 % (22831)Time elapsed: 0.002 s
% 0.15/0.37 % (22831)Instructions burned: 2 (million)
% 0.15/0.37 % (22831)------------------------------
% 0.15/0.37 % (22831)------------------------------
% 0.15/0.37 % (22830)Also succeeded, but the first one will report.
% 0.15/0.37 % (22834)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (22834)------------------------------
% 0.15/0.37 % (22834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (22834)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (22834)Memory used [KB]: 754
% 0.15/0.37 % (22834)Time elapsed: 0.004 s
% 0.15/0.37 % (22834)Instructions burned: 3 (million)
% 0.15/0.37 % (22825)Success in time 0.004 s
%------------------------------------------------------------------------------