TSTP Solution File: DAT059_1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : DAT059_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 05:05:53 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   23 (  11 unt;  11 typ;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :    8 (   0 atm;   0 fun;   0 num;   8 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   :   32 (  24   !;   8   ?;  32   :)

% 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: data ).

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

tff(f32,plain,
    $false,
    inference(trivial_inequality_removal,[],[f30]) ).

tff(f30,plain,
    put(sK1,sK2,sK3) != put(sK1,sK2,sK3),
    inference(superposition,[],[f21,f26]) ).

tff(f26,plain,
    ! [X2: $int,X3: data,X0: data,X1: array] : ( put(X1,X2,X3) = put(put(X1,X2,X0),X2,X3) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: data,X1: array,X2: $int,X3: data] : ( put(X1,X2,X3) = put(put(X1,X2,X0),X2,X3) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X4: data,X1: array,X0: $int,X5: data] : ( put(put(X1,X0,X4),X0,X5) = put(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_20) ).

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

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

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

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

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

tff(f7,negated_conjecture,
    ~ ! [X5: data,X1: array,X0: $int,X4: data] : ( put(X1,X0,X4) = put(put(X1,X0,X5),X0,X4) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X5: data,X1: array,X0: $int,X4: data] : ( put(X1,X0,X4) = put(put(X1,X0,X5),X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : DAT059_1 : TPTP v8.1.2. Released v5.5.0.
% 0.09/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 12:50:40 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  % (1549)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (1553)WARNING: value z3 for option sas not known
% 0.12/0.36  % (1554)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  % (1557)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)
% 0.12/0.36  % (1554)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36  % (1554)Terminated due to inappropriate strategy.
% 0.12/0.36  % (1554)------------------------------
% 0.12/0.36  % (1554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (1554)Termination reason: Inappropriate
% 0.12/0.36  
% 0.12/0.36  % (1554)Memory used [KB]: 741
% 0.12/0.36  % (1554)Time elapsed: 0.002 s
% 0.12/0.36  % (1554)Instructions burned: 2 (million)
% 0.12/0.36  % (1558)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)
% 0.12/0.36  % (1553)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)
% 0.12/0.36  % (1552)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (1554)------------------------------
% 0.12/0.36  % (1554)------------------------------
% 0.12/0.36  % (1552)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36  % (1552)Terminated due to inappropriate strategy.
% 0.12/0.36  % (1552)------------------------------
% 0.12/0.36  % (1552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (1552)Termination reason: Inappropriate
% 0.12/0.36  
% 0.12/0.36  % (1552)Memory used [KB]: 741
% 0.12/0.36  % (1552)Time elapsed: 0.001 s
% 0.12/0.36  % (1552)Instructions burned: 2 (million)
% 0.12/0.36  % (1552)------------------------------
% 0.12/0.36  % (1552)------------------------------
% 0.12/0.36  % (1556)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)
% 0.12/0.36  % (1557)First to succeed.
% 0.12/0.36  % (1558)Also succeeded, but the first one will report.
% 0.12/0.36  % (1557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1549"
% 0.12/0.36  % (1553)Also succeeded, but the first one will report.
% 0.12/0.36  % (1557)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Theorem for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (1557)------------------------------
% 0.12/0.36  % (1557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (1557)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (1557)Memory used [KB]: 764
% 0.12/0.36  % (1557)Time elapsed: 0.003 s
% 0.12/0.36  % (1557)Instructions burned: 3 (million)
% 0.12/0.36  % (1549)Success in time 0.015 s
%------------------------------------------------------------------------------