TSTP Solution File: ARI567_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI567_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 : n021.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 : Tue Apr 30 10:35:36 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   3 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     :   56 (   6 atm;  19 fun;  22 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,[],[f50]) ).

tff(f50,plain,
    $less(0.0,$sum(-0.25,$uminus(0.0))),
    inference(superposition,[],[f22,f37]) ).

tff(f37,plain,
    ! [X0: $real] : ( 0.0 = $product(0.0,X0) ),
    inference(superposition,[],[f15,f18]) ).

tff(f18,plain,
    ! [X0: $real] : ( 0.0 = $product(X0,0.0) ),
    introduced(theory_axiom_149,[]) ).

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

tff(f22,plain,
    ! [X0: $real] : $less(0.0,$sum(-0.25,$uminus($product(X0,-0.05)))),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $real] : $less(0.0,$sum(-0.25,$uminus($product(X0,-0.05)))),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $real] : ~ $less(0.0,$sum(-0.25,$uminus($product(X0,-0.05)))),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $lesseq($difference(-0.25,$product(X0,-0.05)),0.0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $lesseq($difference(-0.25,$product(X0,-0.05)),0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI567_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 : n021.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   : Tue Apr 30 05:33:55 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (5604)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (5605)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (5605)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (5605)Terminated due to inappropriate strategy.
% 0.15/0.38  % (5605)------------------------------
% 0.15/0.38  % (5605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (5605)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (5605)Memory used [KB]: 718
% 0.15/0.38  % (5605)Time elapsed: 0.002 s
% 0.15/0.38  % (5605)Instructions burned: 2 (million)
% 0.15/0.38  % (5605)------------------------------
% 0.15/0.38  % (5605)------------------------------
% 0.15/0.38  % (5606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (5608)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  % (5607)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  % (5610)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (5611)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  % (5606)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (5606)Terminated due to inappropriate strategy.
% 0.15/0.38  % (5606)------------------------------
% 0.15/0.38  % (5606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (5606)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (5606)Memory used [KB]: 718
% 0.15/0.38  % (5606)Time elapsed: 0.002 s
% 0.15/0.38  % (5606)Instructions burned: 2 (million)
% 0.15/0.38  % (5606)------------------------------
% 0.15/0.38  % (5606)------------------------------
% 0.15/0.38  % (5609)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (5608)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (5608)Terminated due to inappropriate strategy.
% 0.15/0.38  % (5608)------------------------------
% 0.15/0.38  % (5608)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (5608)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (5608)Memory used [KB]: 718
% 0.15/0.38  % (5608)Time elapsed: 0.002 s
% 0.15/0.38  % (5608)Instructions burned: 2 (million)
% 0.15/0.38  % (5608)------------------------------
% 0.15/0.38  % (5608)------------------------------
% 0.15/0.38  % (5611)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (5611)Terminated due to inappropriate strategy.
% 0.15/0.38  % (5611)------------------------------
% 0.15/0.38  % (5611)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (5611)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (5611)Memory used [KB]: 719
% 0.15/0.38  % (5611)Time elapsed: 0.002 s
% 0.15/0.38  % (5611)Instructions burned: 2 (million)
% 0.15/0.38  % (5611)------------------------------
% 0.15/0.38  % (5611)------------------------------
% 0.15/0.39  % (5610)First to succeed.
% 0.15/0.39  % (5607)Also succeeded, but the first one will report.
% 0.15/0.39  % (5609)Also succeeded, but the first one will report.
% 0.15/0.39  % (5610)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (5610)------------------------------
% 0.15/0.39  % (5610)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (5610)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (5610)Memory used [KB]: 743
% 0.15/0.39  % (5610)Time elapsed: 0.005 s
% 0.15/0.39  % (5610)Instructions burned: 4 (million)
% 0.15/0.39  % (5610)------------------------------
% 0.15/0.39  % (5610)------------------------------
% 0.15/0.39  % (5604)Success in time 0.018 s
%------------------------------------------------------------------------------