TSTP Solution File: ARI032_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI032_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 : n024.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 10:34:26 EDT 2024

% Result   : Theorem 0.15s 0.32s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   46 (  12 atm;   8 fun;  14 num;  12 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    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   9   !;   3   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f45,plain,
    $false,
    inference(evaluation,[],[f43]) ).

tff(f43,plain,
    $less(15,0),
    inference(resolution,[],[f34,f17]) ).

tff(f17,plain,
    ! [X0: $int] : ~ $less(X0,15),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less(X0,15),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int] : $less(X0,15),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $greater(15,X0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $greater(15,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_15_greater_something) ).

tff(f34,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | $less(-1,X0) ),
    inference(evaluation,[],[f33]) ).

tff(f33,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | $less($uminus(1),X0) ),
    inference(superposition,[],[f13,f18]) ).

tff(f18,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f8,f14]) ).

tff(f14,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f8,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f13,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : ARI032_1 : TPTP v8.1.2. Released v5.0.0.
% 0.05/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n024.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 05:25:51 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.31  % (21459)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (21466)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)
% 0.15/0.32  % (21464)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32  % (21463)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32  % (21465)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32  % (21462)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)
% 0.15/0.32  % (21461)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  % (21460)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32  % (21466)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32  % (21463)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32  % (21466)Terminated due to inappropriate strategy.
% 0.15/0.32  % (21466)------------------------------
% 0.15/0.32  % (21466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.32  % (21466)Termination reason: Inappropriate
% 0.15/0.32  
% 0.15/0.32  % (21466)Memory used [KB]: 717
% 0.15/0.32  % (21466)Time elapsed: 0.002 s
% 0.15/0.32  % (21466)Instructions burned: 2 (million)
% 0.15/0.32  % (21466)------------------------------
% 0.15/0.32  % (21466)------------------------------
% 0.15/0.32  % (21461)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32  % (21461)Terminated due to inappropriate strategy.
% 0.15/0.32  % (21461)------------------------------
% 0.15/0.32  % (21461)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.32  % (21461)Termination reason: Inappropriate
% 0.15/0.32  
% 0.15/0.32  % (21461)Memory used [KB]: 716
% 0.15/0.32  % (21461)Time elapsed: 0.002 s
% 0.15/0.32  % (21461)Instructions burned: 2 (million)
% 0.15/0.32  % (21461)------------------------------
% 0.15/0.32  % (21461)------------------------------
% 0.15/0.32  % (21463)Terminated due to inappropriate strategy.
% 0.15/0.32  % (21463)------------------------------
% 0.15/0.32  % (21463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.32  % (21463)Termination reason: Inappropriate
% 0.15/0.32  % (21460)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32  
% 0.15/0.32  % (21460)Terminated due to inappropriate strategy.
% 0.15/0.32  % (21460)------------------------------
% 0.15/0.32  % (21460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.32  % (21460)Termination reason: Inappropriate
% 0.15/0.32  
% 0.15/0.32  % (21460)Memory used [KB]: 716
% 0.15/0.32  % (21460)Time elapsed: 0.002 s
% 0.15/0.32  % (21460)Instructions burned: 2 (million)
% 0.15/0.32  % (21460)------------------------------
% 0.15/0.32  % (21460)------------------------------
% 0.15/0.32  % (21463)Memory used [KB]: 716
% 0.15/0.32  % (21463)Time elapsed: 0.002 s
% 0.15/0.32  % (21463)Instructions burned: 2 (million)
% 0.15/0.32  % (21463)------------------------------
% 0.15/0.32  % (21463)------------------------------
% 0.15/0.32  % (21464)First to succeed.
% 0.15/0.32  % (21465)Also succeeded, but the first one will report.
% 0.15/0.32  % (21464)Refutation found. Thanks to Tanya!
% 0.15/0.32  % SZS status Theorem for theBenchmark
% 0.15/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32  % (21464)------------------------------
% 0.15/0.32  % (21464)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.32  % (21464)Termination reason: Refutation
% 0.15/0.32  
% 0.15/0.32  % (21464)Memory used [KB]: 753
% 0.15/0.32  % (21464)Time elapsed: 0.004 s
% 0.15/0.32  % (21464)Instructions burned: 4 (million)
% 0.15/0.32  % (21464)------------------------------
% 0.15/0.32  % (21464)------------------------------
% 0.15/0.32  % (21459)Success in time 0.016 s
%------------------------------------------------------------------------------