TSTP Solution File: DAT061_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT061_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 : n010.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 16:04:47 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (   6 unt;  11 typ;   0 def)
%            Number of atoms       :   34 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  15   ~;   7   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   34 (  11 atm;   0 fun;   0 num;  23 var)
%            Number of types       :    3 (   2 usr;   1 ari)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   45 (  33   !;  12   ?;  45   :)

% 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_8,type,
    sK0: ( array * array ) > $int ).

tff(func_def_9,type,
    sK1: $int ).

tff(func_def_10,type,
    sK2: $int ).

tff(func_def_11,type,
    sK3: data ).

tff(func_def_12,type,
    sK4: array ).

tff(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f65,f13]) ).

tff(f13,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f65,plain,
    $less(sK1,sK1),
    inference(backward_demodulation,[],[f41,f62]) ).

tff(f62,plain,
    sK2 = sK1,
    inference(trivial_inequality_removal,[],[f60]) ).

tff(f60,plain,
    ( ( get(sK4,sK1) != get(sK4,sK1) )
    | ( sK2 = sK1 ) ),
    inference(superposition,[],[f42,f36]) ).

tff(f36,plain,
    ! [X2: $int,X3: array,X0: $int,X1: data] :
      ( ( get(put(X3,X2,X1),X0) = get(X3,X0) )
      | ( X0 = X2 ) ),
    inference(cnf_transformation,[],[f27]) ).

tff(f27,plain,
    ! [X0: $int,X1: data,X2: $int,X3: array] :
      ( ( get(put(X3,X2,X1),X0) = get(X3,X0) )
      | ( X0 = X2 ) ),
    inference(rectify,[],[f26]) ).

tff(f26,plain,
    ! [X1: $int,X0: data,X3: $int,X2: array] :
      ( ( get(X2,X1) = get(put(X2,X3,X0),X1) )
      | ( X1 = X3 ) ),
    inference(ennf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X1: $int,X0: data,X2: array,X3: $int] :
      ( ( X1 != X3 )
     => ( get(X2,X1) = get(put(X2,X3,X0),X1) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X2: data,X0: $int,X1: array,X3: $int] :
      ( ( X0 != X3 )
     => ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_19) ).

tff(f42,plain,
    get(put(sK4,sK2,sK3),sK1) != get(sK4,sK1),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,plain,
    ( ( get(put(sK4,sK2,sK3),sK1) != get(sK4,sK1) )
    & $less(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f33,f34]) ).

tff(f34,plain,
    ( ? [X0: $int,X1: $int,X2: data,X3: array] :
        ( ( get(X3,X0) != get(put(X3,X1,X2),X0) )
        & $less(X1,X0) )
   => ( ( get(put(sK4,sK2,sK3),sK1) != get(sK4,sK1) )
      & $less(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f33,plain,
    ? [X0: $int,X1: $int,X2: data,X3: array] :
      ( ( get(X3,X0) != get(put(X3,X1,X2),X0) )
      & $less(X1,X0) ),
    inference(rectify,[],[f25]) ).

tff(f25,plain,
    ? [X2: $int,X3: $int,X1: data,X0: array] :
      ( ( get(put(X0,X3,X1),X2) != get(X0,X2) )
      & $less(X3,X2) ),
    inference(ennf_transformation,[],[f24]) ).

tff(f24,plain,
    ~ ! [X0: array,X1: data,X2: $int,X3: $int] :
        ( ~ $less(X3,X2)
        | ( get(put(X0,X3,X1),X2) = get(X0,X2) ) ),
    inference(rectify,[],[f7]) ).

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

tff(f6,conjecture,
    ! [X1: array,X2: data,X3: $int,X0: $int] :
      ( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
      | ~ $less(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_7) ).

tff(f41,plain,
    $less(sK2,sK1),
    inference(cnf_transformation,[],[f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT061=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
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:06:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.49  % (1224)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.49  % (1224)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.49  % (1224)Terminated due to inappropriate strategy.
% 0.21/0.49  % (1224)------------------------------
% 0.21/0.49  % (1224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (1224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (1224)Termination reason: Inappropriate
% 0.21/0.49  
% 0.21/0.49  % (1224)Memory used [KB]: 895
% 0.21/0.49  % (1224)Time elapsed: 0.003 s
% 0.21/0.49  % (1224)Instructions burned: 2 (million)
% 0.21/0.49  % (1224)------------------------------
% 0.21/0.49  % (1224)------------------------------
% 0.21/0.50  % (1232)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50  % (1232)Instruction limit reached!
% 0.21/0.50  % (1232)------------------------------
% 0.21/0.50  % (1232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (1232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (1232)Termination reason: Unknown
% 0.21/0.50  % (1232)Termination phase: Property scanning
% 0.21/0.50  
% 0.21/0.50  % (1232)Memory used [KB]: 895
% 0.21/0.50  % (1232)Time elapsed: 0.002 s
% 0.21/0.50  % (1232)Instructions burned: 2 (million)
% 0.21/0.50  % (1232)------------------------------
% 0.21/0.50  % (1232)------------------------------
% 0.21/0.51  % (1241)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (1248)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.52  % (1239)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.52  % (1230)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (1250)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53  % (1238)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53  % (1230)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53  % (1248)First to succeed.
% 0.21/0.53  % (1231)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (1230)Terminated due to inappropriate strategy.
% 0.21/0.53  % (1230)------------------------------
% 0.21/0.53  % (1230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (1230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (1230)Termination reason: Inappropriate
% 0.21/0.53  
% 0.21/0.53  % (1230)Memory used [KB]: 895
% 0.21/0.53  % (1230)Time elapsed: 0.005 s
% 0.21/0.53  % (1230)Instructions burned: 2 (million)
% 0.21/0.53  % (1230)------------------------------
% 0.21/0.53  % (1230)------------------------------
% 0.21/0.53  % (1233)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 (2999ds/51Mi)
% 0.21/0.53  % (1227)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (1248)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (1248)------------------------------
% 0.21/0.53  % (1248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (1248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (1248)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (1248)Memory used [KB]: 5373
% 0.21/0.53  % (1248)Time elapsed: 0.074 s
% 0.21/0.53  % (1248)Instructions burned: 3 (million)
% 0.21/0.53  % (1248)------------------------------
% 0.21/0.53  % (1248)------------------------------
% 0.21/0.53  % (1220)Success in time 0.178 s
%------------------------------------------------------------------------------