TSTP Solution File: ARI090_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI090_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 : n022.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 10:34:35 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   44 (   0 atm;  14 fun;  25 num;   5 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   1 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sK0: $int ).

tff(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f20]) ).

tff(f20,plain,
    2 != sK0,
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ( ( 2 != sK0 )
    & ( $sum(5,$uminus(3)) = sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: $int] :
        ( ( 2 != X0 )
        & ( $sum(5,$uminus(3)) = X0 ) )
   => ( ( 2 != sK0 )
      & ( $sum(5,$uminus(3)) = sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: $int] :
      ( ( 2 != X0 )
      & ( $sum(5,$uminus(3)) = X0 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $int] :
        ( ( $sum(5,$uminus(3)) = X0 )
       => ( 2 = X0 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( $difference(5,3) = X0 )
       => ( 2 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $difference(5,3) = X0 )
     => ( 2 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_5_3_only_2) ).

tff(f21,plain,
    2 = sK0,
    inference(evaluation,[],[f19]) ).

tff(f19,plain,
    $sum(5,$uminus(3)) = sK0,
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI090_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 05:27:58 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (14015)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (14018)WARNING: value z3 for option sas not known
% 0.14/0.38  % (14016)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (14020)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)
% 0.14/0.38  % (14017)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (14021)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)
% 0.14/0.38  % (14018)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)
% 0.14/0.38  % (14022)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)
% 0.14/0.38  % (14019)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (14016)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38  % (14017)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38  % (14017)Terminated due to inappropriate strategy.
% 0.14/0.38  % (14017)------------------------------
% 0.14/0.38  % (14017)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (14016)Terminated due to inappropriate strategy.
% 0.14/0.38  % (14016)------------------------------
% 0.14/0.38  % (14016)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (14016)Termination reason: Inappropriate
% 0.14/0.38  
% 0.14/0.38  % (14016)Memory used [KB]: 722
% 0.14/0.38  % (14016)Time elapsed: 0.002 s
% 0.14/0.38  % (14016)Instructions burned: 2 (million)
% 0.14/0.38  % (14016)------------------------------
% 0.14/0.38  % (14016)------------------------------
% 0.14/0.38  % (14017)Termination reason: Inappropriate
% 0.14/0.38  
% 0.14/0.38  % (14017)Memory used [KB]: 723
% 0.14/0.38  % (14017)Time elapsed: 0.002 s
% 0.14/0.38  % (14017)Instructions burned: 2 (million)
% 0.14/0.38  % (14017)------------------------------
% 0.14/0.38  % (14017)------------------------------
% 0.14/0.38  % (14019)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38  % (14019)Terminated due to inappropriate strategy.
% 0.14/0.38  % (14019)------------------------------
% 0.14/0.38  % (14019)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (14019)Termination reason: Inappropriate
% 0.14/0.38  
% 0.14/0.38  % (14019)Memory used [KB]: 722
% 0.14/0.38  % (14019)Time elapsed: 0.003 s
% 0.14/0.38  % (14019)Instructions burned: 2 (million)
% 0.14/0.38  % (14019)------------------------------
% 0.14/0.38  % (14019)------------------------------
% 0.14/0.38  % (14022)First to succeed.
% 0.14/0.38  % (14021)Also succeeded, but the first one will report.
% 0.14/0.38  % (14022)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (14022)------------------------------
% 0.14/0.38  % (14022)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (14022)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (14022)Memory used [KB]: 750
% 0.14/0.38  % (14022)Time elapsed: 0.003 s
% 0.14/0.38  % (14022)Instructions burned: 3 (million)
% 0.14/0.38  % (14022)------------------------------
% 0.14/0.38  % (14022)------------------------------
% 0.14/0.38  % (14015)Success in time 0.006 s
%------------------------------------------------------------------------------