TSTP Solution File: HWV013-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV013-1 : 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_sat --cores 0 -t %d %s

% Computer : n001.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 16:58:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  15 unt;   3 typ;   0 def)
%            Number of atoms       :   34 (   8 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_14,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_15,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_16,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f713,plain,
    $false,
    inference(subsumption_resolution,[],[f712,f134]) ).

fof(f134,plain,
    gt(fifo_length,int_level(x_139)),
    inference(literal_reordering,[],[f97]) ).

fof(f97,plain,
    gt(fifo_length,int_level(x_139)),
    inference(definition_unfolding,[],[f92,f21]) ).

fof(f21,axiom,
    ! [X25] : level(X25) = int_level(X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

fof(f92,axiom,
    gt(fifo_length,level(x_139)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

fof(f712,plain,
    ~ gt(fifo_length,int_level(x_139)),
    inference(subsumption_resolution,[],[f711,f110]) ).

fof(f110,plain,
    ~ p_Rd(x_139),
    inference(literal_reordering,[],[f93]) ).

fof(f93,axiom,
    ~ p_Rd(x_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

fof(f711,plain,
    ( p_Rd(x_139)
    | ~ gt(fifo_length,int_level(x_139)) ),
    inference(subsumption_resolution,[],[f710,f175]) ).

fof(f175,plain,
    int_level(plus(x_139,n1)) != plus(int_level(x_139),n1),
    inference(literal_reordering,[],[f96]) ).

fof(f96,plain,
    int_level(plus(x_139,n1)) != plus(int_level(x_139),n1),
    inference(definition_unfolding,[],[f95,f21,f21]) ).

fof(f95,axiom,
    level(plus(x_139,n1)) != plus(level(x_139),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).

fof(f710,plain,
    ( int_level(plus(x_139,n1)) = plus(int_level(x_139),n1)
    | ~ gt(fifo_length,int_level(x_139))
    | p_Rd(x_139) ),
    inference(subsumption_resolution,[],[f704,f115]) ).

fof(f115,plain,
    ~ p_Reset(x_139),
    inference(literal_reordering,[],[f91]) ).

fof(f91,axiom,
    ~ p_Reset(x_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

fof(f704,plain,
    ( p_Reset(x_139)
    | int_level(plus(x_139,n1)) = plus(int_level(x_139),n1)
    | p_Rd(x_139)
    | ~ gt(fifo_length,int_level(x_139)) ),
    inference(resolution,[],[f156,f125]) ).

fof(f125,plain,
    p_Wr(x_139),
    inference(literal_reordering,[],[f94]) ).

fof(f94,axiom,
    p_Wr(x_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

fof(f156,plain,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | ~ gt(fifo_length,int_level(X34))
      | p_Reset(X34)
      | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ),
    inference(literal_reordering,[],[f35]) ).

fof(f35,axiom,
    ! [X34] :
      ( p_Rd(X34)
      | ~ gt(fifo_length,int_level(X34))
      | int_level(plus(X34,n1)) = plus(int_level(X34),n1)
      | p_Reset(X34)
      | ~ p_Wr(X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : HWV013-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 23:18:00 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (28358)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.46  % (28350)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)
% 0.18/0.49  % (28340)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (28335)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)
% 0.18/0.49  % (28350)First to succeed.
% 0.18/0.50  % (28339)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)
% 0.18/0.50  % (28365)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50  % (28350)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (28350)------------------------------
% 0.18/0.50  % (28350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (28350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (28350)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (28350)Memory used [KB]: 6140
% 0.18/0.50  % (28350)Time elapsed: 0.020 s
% 0.18/0.50  % (28350)Instructions burned: 30 (million)
% 0.18/0.50  % (28350)------------------------------
% 0.18/0.50  % (28350)------------------------------
% 0.18/0.50  % (28327)Success in time 0.159 s
%------------------------------------------------------------------------------