TSTP Solution File: ARI193_1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI193_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 : n025.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 04:35:30 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   43 (  11 atm;   8 fun;  13 num;  11 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   9   !;   2   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f43,plain,
    $false,
    inference(evaluation,[],[f41]) ).

tff(f41,plain,
    $less(9/16,0/1),
    inference(resolution,[],[f32,f15]) ).

tff(f15,plain,
    ! [X0: $rat] : ~ $less(X0,9/16),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ~ $less(X0,9/16),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $less(X0,9/16),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $less(X0,9/16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_less_problem_4) ).

tff(f32,plain,
    ! [X0: $rat] :
      ( $less(X0,0/1)
      | $less(-1/1,X0) ),
    inference(evaluation,[],[f31]) ).

tff(f31,plain,
    ! [X0: $rat] :
      ( $less(X0,0/1)
      | $less($uminus(1/1),X0) ),
    inference(superposition,[],[f12,f16]) ).

tff(f16,plain,
    ! [X0: $rat] : ( 0/1 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f7,f13]) ).

tff(f13,plain,
    ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f7,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f12,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X1,$sum(X0,1/1))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ARI193_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 21:43:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (28346)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (28350)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (28349)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)
% 0.13/0.36  % (28351)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (28348)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (28347)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (28352)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (28353)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)
% 0.13/0.36  % (28350)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (28350)Terminated due to inappropriate strategy.
% 0.13/0.36  % (28350)------------------------------
% 0.13/0.36  % (28350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (28350)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (28347)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (28350)Memory used [KB]: 716
% 0.13/0.36  % (28350)Time elapsed: 0.002 s
% 0.13/0.36  % (28350)Instructions burned: 2 (million)
% 0.13/0.36  % (28347)Terminated due to inappropriate strategy.
% 0.13/0.36  % (28347)------------------------------
% 0.13/0.36  % (28347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (28347)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (28347)Memory used [KB]: 716
% 0.13/0.36  % (28347)Time elapsed: 0.002 s
% 0.13/0.36  % (28347)Instructions burned: 2 (million)
% 0.13/0.36  % (28348)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (28348)Terminated due to inappropriate strategy.
% 0.13/0.36  % (28348)------------------------------
% 0.13/0.36  % (28348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (28348)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (28348)Memory used [KB]: 716
% 0.13/0.36  % (28348)Time elapsed: 0.002 s
% 0.13/0.36  % (28348)Instructions burned: 2 (million)
% 0.13/0.36  % (28353)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (28353)Terminated due to inappropriate strategy.
% 0.13/0.36  % (28353)------------------------------
% 0.13/0.36  % (28353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (28350)------------------------------
% 0.13/0.36  % (28350)------------------------------
% 0.13/0.36  % (28353)Termination reason: Inappropriate
% 0.13/0.36  % (28347)------------------------------
% 0.13/0.36  % (28347)------------------------------
% 0.13/0.36  
% 0.13/0.36  % (28353)Memory used [KB]: 717
% 0.13/0.36  % (28353)Time elapsed: 0.002 s
% 0.13/0.36  % (28353)Instructions burned: 2 (million)
% 0.13/0.36  % (28348)------------------------------
% 0.13/0.36  % (28348)------------------------------
% 0.13/0.36  % (28353)------------------------------
% 0.13/0.36  % (28353)------------------------------
% 0.13/0.36  % (28351)First to succeed.
% 0.13/0.36  % (28351)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28346"
% 0.13/0.36  % (28352)Also succeeded, but the first one will report.
% 0.13/0.37  % (28351)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (28351)------------------------------
% 0.13/0.37  % (28351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (28351)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (28351)Memory used [KB]: 752
% 0.13/0.37  % (28351)Time elapsed: 0.004 s
% 0.13/0.37  % (28351)Instructions burned: 3 (million)
% 0.13/0.37  % (28346)Success in time 0.006 s
%------------------------------------------------------------------------------