TSTP Solution File: DAT057_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT057_1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.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 : Wed Aug 31 16:04:46 EDT 2022

% Result   : Theorem 1.23s 0.64s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   28 (   4 unt;  11 typ;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  17   ~;   7   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   22 (   0 atm;   0 fun;   0 num;  22 var)
%            Number of types       :    3 (   2 usr;   1 ari)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   44 (  32   !;  12   ?;  44   :)

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

tff(type_def_6,type,
    array: $tType ).

tff(func_def_0,type,
    mkarray: array ).

tff(func_def_1,type,
    none: data ).

tff(func_def_2,type,
    put: ( array * $int * data ) > array ).

tff(func_def_3,type,
    get: ( array * $int ) > data ).

tff(func_def_4,type,
    sK0: $int ).

tff(func_def_5,type,
    sK1: $int ).

tff(func_def_6,type,
    sK2: data ).

tff(func_def_7,type,
    sK3: array ).

tff(func_def_8,type,
    sK4: ( array * array ) > $int ).

tff(f42,plain,
    $false,
    inference(subsumption_resolution,[],[f41,f27]) ).

tff(f27,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ( ( get(put(sK3,sK1,sK2),sK0) != get(sK3,sK0) )
    & ( sK0 != sK1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: $int,X1: $int,X2: data,X3: array] :
        ( ( get(put(X3,X1,X2),X0) != get(X3,X0) )
        & ( X0 != X1 ) )
   => ( ( get(put(sK3,sK1,sK2),sK0) != get(sK3,sK0) )
      & ( sK0 != sK1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: $int,X1: $int,X2: data,X3: array] :
      ( ( get(put(X3,X1,X2),X0) != get(X3,X0) )
      & ( X0 != X1 ) ),
    inference(rectify,[],[f13]) ).

tff(f13,plain,
    ? [X1: $int,X2: $int,X3: data,X0: array] :
      ( ( get(put(X0,X2,X3),X1) != get(X0,X1) )
      & ( X1 != X2 ) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f8,plain,
    ~ ! [X3: data,X1: $int,X2: $int,X0: array] :
        ( ( X1 = X2 )
        | ( get(put(X0,X2,X3),X1) = get(X0,X1) ) ),
    inference(rectify,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ! [X1: array,X3: $int,X0: $int,X2: data] :
        ( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
        | ( X0 = X3 ) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X1: array,X3: $int,X0: $int,X2: data] :
      ( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
      | ( X0 = X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1) ).

tff(f41,plain,
    sK0 = sK1,
    inference(trivial_inequality_removal,[],[f39]) ).

tff(f39,plain,
    ( ( get(sK3,sK0) != get(sK3,sK0) )
    | ( sK0 = sK1 ) ),
    inference(superposition,[],[f28,f31]) ).

tff(f31,plain,
    ! [X2: array,X3: $int,X0: $int,X1: data] :
      ( ( get(X2,X3) = get(put(X2,X0,X1),X3) )
      | ( X0 = X3 ) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: $int,X1: data,X2: array,X3: $int] :
      ( ( X0 = X3 )
      | ( get(X2,X3) = get(put(X2,X0,X1),X3) ) ),
    inference(rectify,[],[f14]) ).

tff(f14,plain,
    ! [X1: $int,X3: data,X0: array,X2: $int] :
      ( ( X1 = X2 )
      | ( get(X0,X2) = get(put(X0,X1,X3),X2) ) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,plain,
    ! [X1: $int,X0: array,X3: data,X2: $int] :
      ( ( X1 != X2 )
     => ( get(X0,X2) = get(put(X0,X1,X3),X2) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: array,X3: $int,X0: $int,X2: data] :
      ( ( X0 != X3 )
     => ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_19) ).

tff(f28,plain,
    get(put(sK3,sK1,sK2),sK0) != get(sK3,sK0),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT057=1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 21:01:10 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  ipcrm: permission denied for id (670367744)
% 0.14/0.36  ipcrm: permission denied for id (670433290)
% 0.14/0.37  ipcrm: permission denied for id (670466060)
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% 0.20/0.42  ipcrm: permission denied for id (670892087)
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% 0.20/0.44  ipcrm: permission denied for id (671088714)
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% 0.20/0.50  ipcrm: permission denied for id (671875197)
% 0.20/0.50  ipcrm: permission denied for id (671907966)
% 0.20/0.50  ipcrm: permission denied for id (671940735)
% 0.65/0.63  % (3329)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.23/0.64  % (3321)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.23/0.64  % (3314)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.23/0.64  % (3314)First to succeed.
% 1.23/0.64  % (3314)Refutation found. Thanks to Tanya!
% 1.23/0.64  % SZS status Theorem for theBenchmark
% 1.23/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.23/0.64  % (3314)------------------------------
% 1.23/0.64  % (3314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.64  % (3314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.64  % (3314)Termination reason: Refutation
% 1.23/0.64  
% 1.23/0.64  % (3314)Memory used [KB]: 895
% 1.23/0.64  % (3314)Time elapsed: 0.094 s
% 1.23/0.64  % (3314)Instructions burned: 2 (million)
% 1.23/0.64  % (3314)------------------------------
% 1.23/0.64  % (3314)------------------------------
% 1.23/0.64  % (3176)Success in time 0.295 s
%------------------------------------------------------------------------------