TSTP Solution File: HWV021-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : HWV021-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n023.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 16:24:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   51 (   3 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   50 (  22   ~;  27   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f438,plain,
    $false,
    inference(subsumption_resolution,[],[f437,f59]) ).

fof(f59,axiom,
    ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).

fof(f437,plain,
    p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),n0),
    inference(subsumption_resolution,[],[f433,f345]) ).

fof(f345,plain,
    ~ sQ0_eqProxy(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
    inference(resolution,[],[f137,f167]) ).

fof(f167,plain,
    ! [X4] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
      | ~ sQ0_eqProxy(fwork_DOTfifo_DOTrtl_DOTint__level_(X4),n0) ),
    inference(equality_proxy_replacement,[],[f7,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f7,axiom,
    ! [X4] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f137,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f433,plain,
    ( sQ0_eqProxy(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),n0) ),
    inference(resolution,[],[f293,f162]) ).

fof(f162,plain,
    ! [X38,X37] :
      ( ~ p_LES_EQU_(X37,X38)
      | p_LES_EQU_(f_ADD_(X37,n1),X38)
      | sQ0_eqProxy(X37,X38) ),
    inference(equality_proxy_replacement,[],[f68,f143]) ).

fof(f68,axiom,
    ! [X38,X37] :
      ( ~ p_LES_EQU_(X37,X38)
      | X37 = X38
      | p_LES_EQU_(f_ADD_(X37,n1),X38) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).

fof(f293,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
    inference(subsumption_resolution,[],[f292,f279]) ).

fof(f279,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(subsumption_resolution,[],[f278,f136]) ).

fof(f136,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f278,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(subsumption_resolution,[],[f219,f134]) ).

fof(f134,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f219,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1)))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(resolution,[],[f135,f33]) ).

fof(f33,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1)))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f135,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f292,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(subsumption_resolution,[],[f291,f136]) ).

fof(f291,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(subsumption_resolution,[],[f222,f134]) ).

fof(f222,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1)))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(resolution,[],[f135,f45]) ).

fof(f45,axiom,
    ! [X10] :
      ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1)))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : HWV021-2 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 23:18:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (28381)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.48  % (28365)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48  % (28365)Refutation not found, incomplete strategy% (28365)------------------------------
% 0.19/0.48  % (28365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (28365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (28365)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48  
% 0.19/0.48  % (28365)Memory used [KB]: 6012
% 0.19/0.48  % (28365)Time elapsed: 0.062 s
% 0.19/0.48  % (28365)Instructions burned: 3 (million)
% 0.19/0.48  % (28365)------------------------------
% 0.19/0.48  % (28365)------------------------------
% 0.19/0.49  % (28381)First to succeed.
% 0.19/0.50  % (28381)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (28381)------------------------------
% 0.19/0.50  % (28381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (28381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (28381)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (28381)Memory used [KB]: 6268
% 0.19/0.50  % (28381)Time elapsed: 0.072 s
% 0.19/0.50  % (28381)Instructions burned: 15 (million)
% 0.19/0.50  % (28381)------------------------------
% 0.19/0.50  % (28381)------------------------------
% 0.19/0.50  % (28357)Success in time 0.146 s
%------------------------------------------------------------------------------