TSTP Solution File: DAT057_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT057_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n013.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 30 22:21:38 EDT 2023

% Result   : Theorem 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   24 (   3 unt;  11 typ;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  14   ~;   5   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   18 (   0 atm;   0 fun;   0 num;  18 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   :   36 (;  28   !;   8   ?;  36   :)

% 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: data ).

tff(func_def_5,type,
    sK1: array ).

tff(func_def_6,type,
    sK2: $int ).

tff(func_def_7,type,
    sK3: $int ).

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

tff(f36,plain,
    $false,
    inference(unit_resulting_resolution,[],[f22,f21,f28]) ).

tff(f28,plain,
    ! [X2: array,X3: $int,X0: $int,X1: data] :
      ( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
      | ( X0 = X3 ) ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $int,X1: data,X2: array,X3: $int] :
      ( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
      | ( X0 = X3 ) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: data,X2: array,X3: $int] :
      ( ( X0 != X3 )
     => ( get(put(X2,X0,X1),X3) = get(X2,X3) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X3: $int,X2: data,X1: array,X0: $int] :
      ( ( X0 != X3 )
     => ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KjUyJApbla/Vampire---4.8_11893',ax_19) ).

tff(f21,plain,
    get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ( sK2 != sK3 )
    & ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f13,f15]) ).

tff(f15,plain,
    ( ? [X0: data,X1: array,X2: $int,X3: $int] :
        ( ( X2 != X3 )
        & ( get(X1,X3) != get(put(X1,X2,X0),X3) ) )
   => ( ( sK2 != sK3 )
      & ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) ) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

tff(f6,conjecture,
    ! [X2: data,X1: array,X0: $int,X3: $int] :
      ( ( X0 = X3 )
      | ( get(X1,X3) = get(put(X1,X0,X2),X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KjUyJApbla/Vampire---4.8_11893',th_lem_1) ).

tff(f22,plain,
    sK2 != sK3,
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : DAT057_1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n013.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   : Thu Aug 24 14:41:32 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TF0_THM_EQU_ARI problem
% 0.15/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.KjUyJApbla/Vampire---4.8_11893
% 0.15/0.36  % (12013)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (12017)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.21/0.41  % (12020)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.21/0.41  % (12020)First to succeed.
% 0.21/0.41  % (12015)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.21/0.41  % (12016)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.21/0.41  % (12020)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Theorem for Vampire---4
% 0.21/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.41  % (12020)------------------------------
% 0.21/0.41  % (12020)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (12020)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (12020)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (12020)Memory used [KB]: 1023
% 0.21/0.41  % (12020)Time elapsed: 0.004 s
% 0.21/0.41  % (12020)------------------------------
% 0.21/0.41  % (12020)------------------------------
% 0.21/0.41  % (12013)Success in time 0.057 s
% 0.21/0.41  12017 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.KjUyJApbla/Vampire---4.8_11893
% 0.21/0.41  % (12017)------------------------------
% 0.21/0.41  % (12017)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (12017)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (12017)Termination reason: Unknown
% 0.21/0.41  % (12017)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (12017)Memory used [KB]: 895
% 0.21/0.41  % (12017)Time elapsed: 0.025 s
% 0.21/0.41  % (12017)------------------------------
% 0.21/0.41  % (12017)------------------------------
% 0.21/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------