TSTP Solution File: DAT006_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT006_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n017.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 16:04:36 EDT 2022

% Result   : Theorem 1.77s 0.59s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   28 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   45 (  44 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (   7   ~;  14   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  134 (   0 atm;   0 fun; 102 num;  32 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   :   50 (  42   !;   8   ?;  50   :)

% 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(f41,plain,
    $false,
    inference(subsumption_resolution,[],[f40,f14]) ).

tff(f14,plain,
    ! [X2: $int] : ( 33 != read(sK1,X2) ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ( ! [X2: $int] : ( 33 != read(sK1,X2) )
    & ( sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f9]) ).

tff(f9,plain,
    ( ? [X0: array,X1: array] :
        ( ! [X2: $int] : ( 33 != read(X1,X2) )
        & ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 ) )
   => ( ! [X2: $int] : ( 33 != read(sK1,X2) )
      & ( sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f8,plain,
    ? [X0: array,X1: array] :
      ( ! [X2: $int] : ( 33 != read(X1,X2) )
      & ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 ) ),
    inference(rectify,[],[f7]) ).

tff(f7,plain,
    ? [X1: array,X0: array] :
      ( ! [X2: $int] : ( 33 != read(X0,X2) )
      & ( 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 )
       => ? [X2: $int] : ( 33 = read(X0,X2) ) ),
    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 )
     => ? [X2: $int] : ( 33 = read(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f40,plain,
    33 = read(sK1,3),
    inference(evaluation,[],[f37]) ).

tff(f37,plain,
    ( ( 3 = 4 )
    | ( 33 = read(sK1,3) )
    | ( 3 = 5 ) ),
    inference(superposition,[],[f16,f34]) ).

tff(f34,plain,
    ! [X1: $int] :
      ( ( read(sK1,X1) = read(write(sK0,3,33),X1) )
      | ( 5 = X1 )
      | ( 4 = X1 ) ),
    inference(duplicate_literal_removal,[],[f30]) ).

tff(f30,plain,
    ! [X1: $int] :
      ( ( 5 = X1 )
      | ( 4 = X1 )
      | ( read(sK1,X1) = read(write(sK0,3,33),X1) )
      | ( 4 = X1 ) ),
    inference(superposition,[],[f23,f15]) ).

tff(f15,plain,
    ! [X2: array,X3: $int,X0: $int,X1: $int] :
      ( ( read(X2,X1) = read(write(X2,X0,X3),X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: $int,X1: $int,X2: array,X3: $int] :
      ( ( read(X2,X1) = read(write(X2,X0,X3),X1) )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f5]) ).

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

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

tff(f23,plain,
    ! [X1: $int] :
      ( ( read(sK1,X1) = read(write(write(sK0,3,33),4,444),X1) )
      | ( 5 = X1 )
      | ( 4 = X1 ) ),
    inference(superposition,[],[f19,f15]) ).

tff(f19,plain,
    ! [X0: $int] :
      ( ( read(sK1,X0) = read(write(write(write(sK0,3,33),4,444),5,55),X0) )
      | ( 4 = X0 ) ),
    inference(superposition,[],[f15,f13]) ).

tff(f13,plain,
    sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44),
    inference(cnf_transformation,[],[f10]) ).

tff(f16,plain,
    ! [X2: array,X0: $int,X1: $int] : ( read(write(X2,X1,X0),X1) = X0 ),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int,X2: array] : ( read(write(X2,X1,X0),X1) = X0 ),
    inference(rectify,[],[f6]) ).

tff(f6,plain,
    ! [X1: $int,X0: $int,X2: array] : ( read(write(X2,X0,X1),X0) = X1 ),
    inference(rectify,[],[f1]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : DAT006=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 19:40:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.53/0.57  % (24826)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.58  % (24823)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)
% 1.53/0.58  % (24820)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.58  % (24834)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.53/0.58  % (24826)First to succeed.
% 1.53/0.58  % (24831)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.77/0.59  % (24815)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.77/0.59  % (24834)Also succeeded, but the first one will report.
% 1.77/0.59  % (24809)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 (2999ds/37Mi)
% 1.77/0.59  % (24826)Refutation found. Thanks to Tanya!
% 1.77/0.59  % SZS status Theorem for theBenchmark
% 1.77/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.59  % (24826)------------------------------
% 1.77/0.59  % (24826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (24826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (24826)Termination reason: Refutation
% 1.77/0.59  
% 1.77/0.59  % (24826)Memory used [KB]: 895
% 1.77/0.59  % (24826)Time elapsed: 0.151 s
% 1.77/0.59  % (24826)Instructions burned: 3 (million)
% 1.77/0.59  % (24826)------------------------------
% 1.77/0.59  % (24826)------------------------------
% 1.77/0.59  % (24806)Success in time 0.228 s
%------------------------------------------------------------------------------