TSTP Solution File: DAT003_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : DAT003_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 19:50:46 EDT 2024

% Result   : Theorem 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   40 (  39 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   27 (   7   ~;  13   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  119 (   0 atm;   0 fun; 102 num;  17 var)
%            Number of types       :    2 (   1 usr;   1 ari)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (   4 usr;   9 con; 0-3 aty)
%            Number of variables   :   30 (  26   !;   4   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    array: $tType ).

tff(func_def_0,type,
    read: ( array * $int ) > $int ).

tff(func_def_1,type,
    write: ( array * $int * $int ) > array ).

tff(func_def_9,type,
    sK0: array ).

tff(func_def_10,type,
    sK1: array ).

tff(f36,plain,
    $false,
    inference(trivial_inequality_removal,[],[f35]) ).

tff(f35,plain,
    33 != 33,
    inference(superposition,[],[f10,f34]) ).

tff(f34,plain,
    33 = read(sK0,3),
    inference(evaluation,[],[f29]) ).

tff(f29,plain,
    ( ( 33 = read(sK0,3) )
    | ( 3 = 4 )
    | ( 3 = 5 ) ),
    inference(superposition,[],[f28,f11]) ).

tff(f11,plain,
    ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

tff(f28,plain,
    ! [X0: $int] :
      ( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
      | ( 4 = X0 )
      | ( 5 = X0 ) ),
    inference(duplicate_literal_removal,[],[f24]) ).

tff(f24,plain,
    ! [X0: $int] :
      ( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
      | ( 4 = X0 )
      | ( 5 = X0 )
      | ( 4 = X0 ) ),
    inference(superposition,[],[f18,f12]) ).

tff(f12,plain,
    ! [X2: $int,X3: $int,X0: array,X1: $int] :
      ( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,plain,
    ! [X0: array,X1: $int,X2: $int,X3: $int] :
      ( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
      | ( X1 = X2 ) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X3: array,X4: $int,X5: $int,X6: $int] :
      ( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
      | ( X4 = X5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

tff(f18,plain,
    ! [X0: $int] :
      ( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
      | ( 4 = X0 )
      | ( 5 = X0 ) ),
    inference(superposition,[],[f14,f12]) ).

tff(f14,plain,
    ! [X0: $int] :
      ( ( read(write(write(write(sK1,3,33),4,444),5,55),X0) = read(sK0,X0) )
      | ( 4 = X0 ) ),
    inference(superposition,[],[f12,f9]) ).

tff(f9,plain,
    sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ( 33 != read(sK0,3) )
    & ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7]) ).

tff(f7,plain,
    ( ? [X0: array,X1: array] :
        ( ( 33 != read(X0,3) )
        & ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 ) )
   => ( ( 33 != read(sK0,3) )
      & ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f6,plain,
    ? [X0: array,X1: array] :
      ( ( 33 != read(X0,3) )
      & ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,negated_conjecture,
    ~ ! [X0: array,X1: array] :
        ( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
       => ( 33 = read(X0,3) ) ),
    inference(negated_conjecture,[],[f3]) ).

tff(f3,conjecture,
    ! [X0: array,X1: array] :
      ( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
     => ( 33 = read(X0,3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f10,plain,
    33 != read(sK0,3),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : DAT003_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 23:16:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (7912)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (7915)WARNING: value z3 for option sas not known
% 0.15/0.37  % (7918)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)
% 0.15/0.37  % (7916)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (7913)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (7914)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (7916)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37  % (7916)Terminated due to inappropriate strategy.
% 0.15/0.37  % (7916)------------------------------
% 0.15/0.37  % (7916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (7916)Termination reason: Inappropriate
% 0.15/0.37  
% 0.15/0.37  % (7916)Memory used [KB]: 739
% 0.15/0.37  % (7913)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37  % (7916)Time elapsed: 0.002 s
% 0.15/0.37  % (7913)Terminated due to inappropriate strategy.
% 0.15/0.37  % (7913)------------------------------
% 0.15/0.37  % (7913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (7913)Termination reason: Inappropriate
% 0.15/0.37  
% 0.15/0.37  % (7913)Memory used [KB]: 739
% 0.15/0.37  % (7913)Time elapsed: 0.002 s
% 0.15/0.37  % (7913)Instructions burned: 2 (million)
% 0.15/0.37  % (7914)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37  % (7916)Instructions burned: 2 (million)
% 0.15/0.37  % (7914)Terminated due to inappropriate strategy.
% 0.15/0.37  % (7914)------------------------------
% 0.15/0.37  % (7914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (7914)Termination reason: Inappropriate
% 0.15/0.37  
% 0.15/0.37  % (7914)Memory used [KB]: 739
% 0.15/0.37  % (7914)Time elapsed: 0.002 s
% 0.15/0.37  % (7914)Instructions burned: 2 (million)
% 0.15/0.37  % (7915)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)
% 0.15/0.37  % (7913)------------------------------
% 0.15/0.37  % (7913)------------------------------
% 0.15/0.37  % (7914)------------------------------
% 0.15/0.37  % (7914)------------------------------
% 0.15/0.37  % (7916)------------------------------
% 0.15/0.37  % (7916)------------------------------
% 0.15/0.37  % (7920)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)
% 0.15/0.37  % (7918)First to succeed.
% 0.15/0.37  % (7918)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7912"
% 0.15/0.37  % (7917)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)
% 0.15/0.37  % (7918)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Theorem for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (7918)------------------------------
% 0.15/0.37  % (7918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (7918)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (7918)Memory used [KB]: 779
% 0.15/0.37  % (7918)Time elapsed: 0.004 s
% 0.15/0.37  % (7918)Instructions burned: 5 (million)
% 0.15/0.37  % (7912)Success in time 0.008 s
%------------------------------------------------------------------------------