TSTP Solution File: ARI548_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI548_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 : n010.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 18:50:36 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   60 (   7 atm;  21 fun;  23 num;   9 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   6   !;   3   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f51,plain,
    $false,
    inference(evaluation,[],[f48]) ).

tff(f48,plain,
    $less(0,$sum(-25,$uminus(0))),
    inference(superposition,[],[f41,f18]) ).

tff(f18,plain,
    ! [X0: $int] : ( 0 = $product(X0,0) ),
    introduced(theory_axiom_149,[]) ).

tff(f41,plain,
    ! [X0: $int] : $less(0,$sum(-25,$uminus($product(-5,X0)))),
    inference(superposition,[],[f23,f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f23,plain,
    ! [X0: $int] : $less(0,$sum(-25,$uminus($product(X0,-5)))),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X0: $int] : $less(0,$sum(-25,$uminus($product(X0,-5)))),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int] : ~ $less(0,$sum(-25,$uminus($product(X0,-5)))),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $lesseq($difference(-25,$product(X0,-5)),0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $lesseq($difference(-25,$product(X0,-5)),0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ARI548_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
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 13:11:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (368)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (369)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36  % (370)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  % (369)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36  % (370)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36  % (369)Terminated due to inappropriate strategy.
% 0.14/0.36  % (369)------------------------------
% 0.14/0.36  % (369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (369)Termination reason: Inappropriate
% 0.14/0.36  
% 0.14/0.36  % (369)Memory used [KB]: 719
% 0.14/0.36  % (369)Time elapsed: 0.002 s
% 0.14/0.37  % (369)Instructions burned: 2 (million)
% 0.14/0.37  % (372)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (370)Terminated due to inappropriate strategy.
% 0.14/0.37  % (370)------------------------------
% 0.14/0.37  % (370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (370)Termination reason: Inappropriate
% 0.14/0.37  
% 0.14/0.37  % (370)Memory used [KB]: 719
% 0.14/0.37  % (370)Time elapsed: 0.002 s
% 0.14/0.37  % (370)Instructions burned: 2 (million)
% 0.14/0.37  % (375)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)
% 0.14/0.37  % (369)------------------------------
% 0.14/0.37  % (369)------------------------------
% 0.14/0.37  % (370)------------------------------
% 0.14/0.37  % (370)------------------------------
% 0.14/0.37  % (372)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37  % (372)Terminated due to inappropriate strategy.
% 0.14/0.37  % (372)------------------------------
% 0.14/0.37  % (372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (372)Termination reason: Inappropriate
% 0.14/0.37  
% 0.14/0.37  % (372)Memory used [KB]: 719
% 0.14/0.37  % (372)Time elapsed: 0.002 s
% 0.14/0.37  % (375)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37  % (375)Terminated due to inappropriate strategy.
% 0.14/0.37  % (375)------------------------------
% 0.14/0.37  % (375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (372)Instructions burned: 2 (million)
% 0.14/0.37  % (375)Termination reason: Inappropriate
% 0.14/0.37  
% 0.14/0.37  % (375)Memory used [KB]: 719
% 0.14/0.37  % (375)Time elapsed: 0.002 s
% 0.14/0.37  % (375)Instructions burned: 2 (million)
% 0.14/0.37  % (372)------------------------------
% 0.14/0.37  % (372)------------------------------
% 0.14/0.37  % (375)------------------------------
% 0.14/0.37  % (375)------------------------------
% 0.14/0.37  % (373)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (371)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)
% 0.14/0.37  % (373)First to succeed.
% 0.14/0.37  % (373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-368"
% 0.14/0.37  % (373)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (373)------------------------------
% 0.14/0.37  % (373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (373)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (373)Memory used [KB]: 744
% 0.14/0.37  % (373)Time elapsed: 0.003 s
% 0.14/0.37  % (373)Instructions burned: 4 (million)
% 0.14/0.37  % (368)Success in time 0.02 s
%------------------------------------------------------------------------------