TSTP Solution File: ARI586_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI586_1 : TPTP v8.2.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 18:50:43 EDT 2024

% Result   : Theorem 180.22s 34.32s
% Output   : Refutation 180.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   38 (  17 unt;   1 typ;   0 def)
%            Number of atoms       :   68 (  17 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   50 (  19   ~;  22   |;   6   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  235 (  50 atm;  85 fun;  62 num;  38 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    :    7 (   1 usr;   5 con; 0-2 aty)
%            Number of variables   :   38 (  34   !;   4   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_6,type,
    sK0: $int ).

tff(f1139655,plain,
    $false,
    inference(subsumption_resolution,[],[f1139654,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f1139654,plain,
    $less($product(3,sK0),$product(3,sK0)),
    inference(forward_demodulation,[],[f1139624,f14]) ).

tff(f14,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f1139624,plain,
    $less($product(3,sK0),$product(sK0,3)),
    inference(evaluation,[],[f1139285]) ).

tff(f1139285,plain,
    $less($product(3,sK0),$product(sK0,$sum(1,2))),
    inference(superposition,[],[f31377,f1139166]) ).

tff(f1139166,plain,
    $product(3,sK0) = $product(2,sK0),
    inference(subsumption_resolution,[],[f1139165,f8]) ).

tff(f1139165,plain,
    ( $less($product(3,sK0),$product(3,sK0))
    | ( $product(3,sK0) = $product(2,sK0) ) ),
    inference(forward_demodulation,[],[f1139164,f14]) ).

tff(f1139164,plain,
    ( ( $product(3,sK0) = $product(2,sK0) )
    | $less($product(3,sK0),$product(sK0,3)) ),
    inference(evaluation,[],[f1139163]) ).

tff(f1139163,plain,
    ( ( $product(3,sK0) = $product(2,sK0) )
    | $less($product(3,sK0),$product(sK0,$sum(1,2))) ),
    inference(forward_demodulation,[],[f1139162,f2199]) ).

tff(f2199,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
    inference(superposition,[],[f18,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f18,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f1139162,plain,
    ( ( $product(3,sK0) = $product(2,sK0) )
    | $less($product(3,sK0),$sum(sK0,$product(sK0,2))) ),
    inference(forward_demodulation,[],[f1139161,f14]) ).

tff(f1139161,plain,
    ( ( $product(3,sK0) = $product(sK0,2) )
    | $less($product(3,sK0),$sum(sK0,$product(sK0,2))) ),
    inference(forward_demodulation,[],[f1139160,f11461]) ).

tff(f11461,plain,
    ! [X0: $int] : ( $sum(X0,X0) = $product(X0,2) ),
    inference(evaluation,[],[f11392]) ).

tff(f11392,plain,
    ! [X0: $int] : ( $product(X0,$sum(1,1)) = $sum(X0,X0) ),
    inference(superposition,[],[f2199,f16]) ).

tff(f1139160,plain,
    ( ( $product(3,sK0) = $sum(sK0,sK0) )
    | $less($product(3,sK0),$sum(sK0,$product(sK0,2))) ),
    inference(forward_demodulation,[],[f32789,f11461]) ).

tff(f32789,plain,
    ( $less($product(3,sK0),$sum(sK0,$sum(sK0,sK0)))
    | ( $product(3,sK0) = $sum(sK0,sK0) ) ),
    inference(resolution,[],[f2676,f916]) ).

tff(f916,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less(X0,$sum(sK0,X1)) ),
    inference(resolution,[],[f909,f9]) ).

tff(f9,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | $less(X0,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_143,[]) ).

tff(f909,plain,
    ! [X0: $int] : $less(X0,$sum(sK0,X0)),
    inference(evaluation,[],[f856]) ).

tff(f856,plain,
    ! [X0: $int] : $less($sum(0,X0),$sum(sK0,X0)),
    inference(resolution,[],[f11,f24]) ).

tff(f24,plain,
    $less(0,sK0),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,$product(sK0,3))
        | ~ $less(sK0,X1) )
    & $less(0,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).

tff(f22,plain,
    ( ? [X0: $int] :
        ( ! [X1: $int] :
            ( ~ $less(X1,$product(X0,3))
            | ~ $less(X0,X1) )
        & $less(0,X0) )
   => ( ! [X1: $int] :
          ( ~ $less(X1,$product(sK0,3))
          | ~ $less(sK0,X1) )
      & $less(0,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f21,plain,
    ? [X0: $int] :
      ( ! [X1: $int] :
          ( ~ $less(X1,$product(X0,3))
          | ~ $less(X0,X1) )
      & $less(0,X0) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( $less(0,X0)
       => ? [X1: $int] :
            ( $less(X0,X1)
            & $less(X1,$product(X0,3)) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( $less(0,X0)
     => ? [X1: $int] :
          ( $less(X0,X1)
          & $less(X1,$product(X0,3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_Y_between_X_and_3X) ).

tff(f11,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_145,[]) ).

tff(f2676,plain,
    ( $less($product(3,sK0),$sum(sK0,sK0))
    | ( $product(3,sK0) = $sum(sK0,sK0) ) ),
    inference(resolution,[],[f447,f909]) ).

tff(f447,plain,
    ! [X0: $int] :
      ( ~ $less(sK0,X0)
      | $less($product(3,sK0),X0)
      | ( $product(3,sK0) = X0 ) ),
    inference(resolution,[],[f10,f39]) ).

tff(f39,plain,
    ! [X1: $int] :
      ( ~ $less(X1,$product(3,sK0))
      | ~ $less(sK0,X1) ),
    inference(backward_demodulation,[],[f25,f14]) ).

tff(f25,plain,
    ! [X1: $int] :
      ( ~ $less(X1,$product(sK0,3))
      | ~ $less(sK0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f10,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f31377,plain,
    ! [X0: $int] : $less($product(X0,sK0),$product(sK0,$sum(1,X0))),
    inference(superposition,[],[f11433,f14]) ).

tff(f11433,plain,
    ! [X0: $int] : $less($product(sK0,X0),$product(sK0,$sum(1,X0))),
    inference(superposition,[],[f909,f2199]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ARI586_1 : TPTP v8.2.0. Released v5.1.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n007.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   : Sun May 19 12:57:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (10188)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (10192)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38  % (10189)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (10195)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  % (10193)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (10190)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (10196)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)
% 0.22/0.38  % (10191)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)
% 0.22/0.38  % (10189)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38  % (10192)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38  % (10189)Terminated due to inappropriate strategy.
% 0.22/0.38  % (10189)------------------------------
% 0.22/0.38  % (10189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38  % (10189)Termination reason: Inappropriate
% 0.22/0.38  
% 0.22/0.38  % (10189)Memory used [KB]: 720
% 0.22/0.38  % (10189)Time elapsed: 0.003 s
% 0.22/0.38  % (10189)Instructions burned: 2 (million)
% 0.22/0.38  % (10192)Terminated due to inappropriate strategy.
% 0.22/0.38  % (10192)------------------------------
% 0.22/0.38  % (10192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38  % (10192)Termination reason: Inappropriate
% 0.22/0.38  
% 0.22/0.38  % (10192)Memory used [KB]: 720
% 0.22/0.38  % (10192)Time elapsed: 0.002 s
% 0.22/0.38  % (10192)Instructions burned: 2 (million)
% 0.22/0.38  % (10190)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38  % (10190)Terminated due to inappropriate strategy.
% 0.22/0.38  % (10190)------------------------------
% 0.22/0.38  % (10190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38  % (10190)Termination reason: Inappropriate
% 0.22/0.38  
% 0.22/0.38  % (10190)Memory used [KB]: 720
% 0.22/0.38  % (10190)Time elapsed: 0.003 s
% 0.22/0.38  % (10190)Instructions burned: 2 (million)
% 0.22/0.38  % (10196)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38  % (10196)Terminated due to inappropriate strategy.
% 0.22/0.38  % (10196)------------------------------
% 0.22/0.38  % (10196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38  % (10196)Termination reason: Inappropriate
% 0.22/0.38  
% 0.22/0.38  % (10196)Memory used [KB]: 720
% 0.22/0.38  % (10196)Time elapsed: 0.002 s
% 0.22/0.38  % (10196)Instructions burned: 2 (million)
% 0.22/0.38  % (10189)------------------------------
% 0.22/0.38  % (10189)------------------------------
% 0.22/0.38  % (10192)------------------------------
% 0.22/0.38  % (10192)------------------------------
% 0.22/0.38  % (10190)------------------------------
% 0.22/0.38  % (10190)------------------------------
% 0.22/0.38  % (10196)------------------------------
% 0.22/0.38  % (10196)------------------------------
% 0.22/0.40  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.40  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.40  % (10197)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40  % (10198)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:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.40  % (10200)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.40  % (10199)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.40  % (10197)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40  % (10197)Terminated due to inappropriate strategy.
% 0.22/0.40  % (10197)------------------------------
% 0.22/0.40  % (10197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40  % (10197)Termination reason: Inappropriate
% 0.22/0.40  
% 0.22/0.40  % (10197)Memory used [KB]: 720
% 0.22/0.40  % (10197)Time elapsed: 0.002 s
% 0.22/0.40  % (10197)Instructions burned: 2 (million)
% 0.22/0.40  % (10197)------------------------------
% 0.22/0.40  % (10197)------------------------------
% 0.22/0.40  % (10199)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40  % (10199)Terminated due to inappropriate strategy.
% 0.22/0.40  % (10199)------------------------------
% 0.22/0.40  % (10199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40  % (10199)Termination reason: Inappropriate
% 0.22/0.40  
% 0.22/0.40  % (10199)Memory used [KB]: 720
% 0.22/0.40  % (10199)Time elapsed: 0.002 s
% 0.22/0.40  % (10199)Instructions burned: 2 (million)
% 0.22/0.40  % (10199)------------------------------
% 0.22/0.40  % (10199)------------------------------
% 0.22/0.42  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.42  % (10201)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 130.65/22.08  % (10195)Time limit reached!
% 130.65/22.08  % (10195)------------------------------
% 130.65/22.08  % (10195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.65/22.08  % (10195)Termination reason: Time limit
% 130.65/22.08  % (10195)Termination phase: Saturation
% 130.65/22.08  
% 130.65/22.08  % (10195)Memory used [KB]: 185955
% 130.65/22.08  % (10195)Time elapsed: 21.700 s
% 130.65/22.08  % (10195)Instructions burned: 86154 (million)
% 130.65/22.08  % (10195)------------------------------
% 130.65/22.08  % (10195)------------------------------
% 130.99/22.11  % (10201)Time limit reached!
% 130.99/22.11  % (10201)------------------------------
% 130.99/22.11  % (10201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.99/22.11  % (10201)Termination reason: Time limit
% 130.99/22.11  % (10201)Termination phase: Saturation
% 130.99/22.11  
% 130.99/22.11  % (10201)Memory used [KB]: 185218
% 130.99/22.11  % (10201)Time elapsed: 21.700 s
% 130.99/22.11  % (10201)Instructions burned: 82068 (million)
% 130.99/22.11  % (10201)------------------------------
% 130.99/22.11  % (10201)------------------------------
% 179.97/34.28  % (10200)First to succeed.
% 179.97/34.28  % (10200)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10188"
% 180.22/34.32  % (10200)Refutation found. Thanks to Tanya!
% 180.22/34.32  % SZS status Theorem for theBenchmark
% 180.22/34.32  % SZS output start Proof for theBenchmark
% See solution above
% 180.22/34.32  % (10200)------------------------------
% 180.22/34.32  % (10200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 180.22/34.32  % (10200)Termination reason: Refutation
% 180.22/34.32  
% 180.22/34.32  % (10200)Memory used [KB]: 379199
% 180.22/34.32  % (10200)Time elapsed: 33.886 s
% 180.22/34.32  % (10200)Instructions burned: 128766 (million)
% 180.22/34.32  % (10188)Success in time 33.961 s
%------------------------------------------------------------------------------