TSTP Solution File: DAT059_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT059_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 : n011.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 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   24 (  12 unt;  11 typ;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   10 (   0 atm;   0 fun;   0 num;  10 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   :   40 (  28   !;  12   ?;  40   :)

% 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: ( array * array ) > $int ).

tff(func_def_5,type,
    sK1: data ).

tff(func_def_6,type,
    sK2: data ).

tff(func_def_7,type,
    sK3: array ).

tff(func_def_8,type,
    sK4: $int ).

tff(f33,plain,
    $false,
    inference(subsumption_resolution,[],[f28,f25]) ).

tff(f25,plain,
    ! [X2: data,X3: array,X0: $int,X1: data] : ( put(put(X3,X0,X1),X0,X2) = put(X3,X0,X2) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: data,X2: data,X3: array] : ( put(put(X3,X0,X1),X0,X2) = put(X3,X0,X2) ),
    inference(rectify,[],[f11]) ).

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

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

tff(f28,plain,
    put(sK3,sK4,sK2) != put(put(sK3,sK4,sK1),sK4,sK2),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    put(sK3,sK4,sK2) != put(put(sK3,sK4,sK1),sK4,sK2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f20,f21]) ).

tff(f21,plain,
    ( ? [X0: data,X1: data,X2: array,X3: $int] : ( put(X2,X3,X1) != put(put(X2,X3,X0),X3,X1) )
   => ( put(sK3,sK4,sK2) != put(put(sK3,sK4,sK1),sK4,sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f20,plain,
    ? [X0: data,X1: data,X2: array,X3: $int] : ( put(X2,X3,X1) != put(put(X2,X3,X0),X3,X1) ),
    inference(rectify,[],[f13]) ).

tff(f13,plain,
    ? [X3: data,X1: data,X0: array,X2: $int] : ( put(put(X0,X2,X3),X2,X1) != put(X0,X2,X1) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ~ ! [X3: data,X1: data,X2: $int,X0: array] : ( put(put(X0,X2,X3),X2,X1) = put(X0,X2,X1) ),
    inference(rectify,[],[f7]) ).

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

tff(f6,conjecture,
    ! [X1: array,X4: data,X0: $int,X5: 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
% 0.07/0.12  % Problem    : DAT059=1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 21:37:55 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (18028)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50  % (18051)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)
% 0.20/0.50  % (18053)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.51  % (18026)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)
% 0.20/0.51  % (18028)First to succeed.
% 0.20/0.51  % (18028)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (18028)------------------------------
% 0.20/0.51  % (18028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (18028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (18028)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (18028)Memory used [KB]: 5373
% 0.20/0.51  % (18028)Time elapsed: 0.107 s
% 0.20/0.51  % (18028)Instructions burned: 2 (million)
% 0.20/0.51  % (18028)------------------------------
% 0.20/0.51  % (18028)------------------------------
% 0.20/0.51  % (18019)Success in time 0.155 s
%------------------------------------------------------------------------------