TSTP Solution File: ARI124_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI124_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 : 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 : Sun May  5 04:35:25 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   17 (   0 atm;   4 fun;  13 num;   0 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_1,type,
    p: $int > $o ).

tff(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f23]) ).

tff(f23,plain,
    ~ p(15),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ( ~ p(15)
    & p($product(5,3)) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( p($product(5,3))
     => p(15) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( p($product(5,3))
   => p(15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5_3_15_predicate) ).

tff(f25,plain,
    p(15),
    inference(evaluation,[],[f22]) ).

tff(f22,plain,
    p($product(5,3)),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI124_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:42:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (16184)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (16185)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (16188)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (16190)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (16186)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (16189)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (16187)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (16191)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (16185)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (16186)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (16191)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (16185)Terminated due to inappropriate strategy.
% 0.15/0.38  % (16185)------------------------------
% 0.15/0.38  % (16185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (16185)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (16185)Memory used [KB]: 719
% 0.15/0.38  % (16185)Time elapsed: 0.002 s
% 0.15/0.38  % (16188)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (16185)Instructions burned: 2 (million)
% 0.15/0.38  % (16186)Terminated due to inappropriate strategy.
% 0.15/0.38  % (16186)------------------------------
% 0.15/0.38  % (16186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (16191)Terminated due to inappropriate strategy.
% 0.15/0.38  % (16191)------------------------------
% 0.15/0.38  % (16191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (16186)Termination reason: Inappropriate
% 0.15/0.38  % (16191)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (16186)Memory used [KB]: 719
% 0.15/0.38  % (16191)Memory used [KB]: 719
% 0.15/0.38  % (16186)Time elapsed: 0.002 s
% 0.15/0.38  % (16191)Time elapsed: 0.003 s
% 0.15/0.38  % (16188)Terminated due to inappropriate strategy.
% 0.15/0.38  % (16188)------------------------------
% 0.15/0.38  % (16188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (16186)Instructions burned: 2 (million)
% 0.15/0.38  % (16191)Instructions burned: 2 (million)
% 0.15/0.38  % (16188)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (16188)Memory used [KB]: 719
% 0.15/0.38  % (16188)Time elapsed: 0.003 s
% 0.15/0.38  % (16188)Instructions burned: 2 (million)
% 0.15/0.38  % (16185)------------------------------
% 0.15/0.38  % (16185)------------------------------
% 0.15/0.38  % (16191)------------------------------
% 0.15/0.38  % (16191)------------------------------
% 0.15/0.38  % (16188)------------------------------
% 0.15/0.38  % (16188)------------------------------
% 0.15/0.38  % (16186)------------------------------
% 0.15/0.38  % (16186)------------------------------
% 0.15/0.38  % (16187)Also succeeded, but the first one will report.
% 0.15/0.38  % (16190)Also succeeded, but the first one will report.
% 0.15/0.38  % (16189)First to succeed.
% 0.15/0.38  % (16189)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16184"
% 0.15/0.38  % (16189)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (16189)------------------------------
% 0.15/0.38  % (16189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (16189)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (16189)Memory used [KB]: 730
% 0.15/0.38  % (16189)Time elapsed: 0.004 s
% 0.15/0.38  % (16189)Instructions burned: 2 (million)
% 0.15/0.38  % (16184)Success in time 0.018 s
%------------------------------------------------------------------------------