TSTP Solution File: HWV010-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : HWV010-1 : 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_uns --cores 0 -t %d %s

% Computer : n014.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 16:24:49 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (   2 unt;   0 def)
%            Number of atoms       :   51 (  16 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   48 (  22   ~;  24   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(avatar_sat_refutation,[],[f101,f102,f126,f143]) ).

fof(f143,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f142]) ).

fof(f142,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f137,f99]) ).

fof(f99,plain,
    ( n0 != level(t_139)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl0_2
  <=> n0 = level(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f137,plain,
    ( n0 = level(t_139)
    | ~ spl0_1 ),
    inference(superposition,[],[f21,f127]) ).

fof(f127,plain,
    ( n0 = int_level(t_139)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f96,f25]) ).

fof(f25,axiom,
    ! [X29] :
      ( ~ p_Empty(X29)
      | n0 = int_level(X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f96,plain,
    ( p_Empty(t_139)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl0_1
  <=> p_Empty(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f126,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f125]) ).

fof(f125,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f124]) ).

fof(f124,plain,
    ( plus(n0,n1) != plus(n0,n1)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f100]) ).

fof(f100,plain,
    ( n0 = level(t_139)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f123,plain,
    ( plus(n0,n1) != plus(level(t_139),n1)
    | spl0_1 ),
    inference(forward_demodulation,[],[f107,f21]) ).

fof(f107,plain,
    ( plus(n0,n1) != plus(int_level(t_139),n1)
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f103,f18]) ).

fof(f18,axiom,
    ! [X22,X23] :
      ( plus(X22,n1) != plus(X23,n1)
      | X22 = X23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

fof(f103,plain,
    ( n0 != int_level(t_139)
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f95,f24]) ).

fof(f24,axiom,
    ! [X28] :
      ( n0 != int_level(X28)
      | p_Empty(X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f95,plain,
    ( ~ p_Empty(t_139)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f102,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f91,f98,f94]) ).

fof(f91,axiom,
    ( n0 != level(t_139)
    | ~ p_Empty(t_139) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

fof(f101,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f92,f98,f94]) ).

fof(f92,axiom,
    ( n0 = level(t_139)
    | p_Empty(t_139) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : HWV010-1 : 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
% 0.14/0.35  % Computer : n014.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 22:57:03 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.52  % (29895)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (29912)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (29892)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (29905)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (29890)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (29891)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54  % (29892)Instruction limit reached!
% 0.20/0.54  % (29892)------------------------------
% 0.20/0.54  % (29892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (29892)Termination reason: Unknown
% 0.20/0.54  % (29892)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (29892)Memory used [KB]: 1407
% 0.20/0.54  % (29892)Time elapsed: 0.005 s
% 0.20/0.54  % (29892)Instructions burned: 4 (million)
% 0.20/0.54  % (29892)------------------------------
% 0.20/0.54  % (29892)------------------------------
% 0.20/0.54  % (29911)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.54  % (29901)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.54  % (29894)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.54  % (29894)First to succeed.
% 0.20/0.54  % (29905)Instruction limit reached!
% 0.20/0.54  % (29905)------------------------------
% 0.20/0.54  % (29905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29903)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (29894)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (29894)------------------------------
% 0.20/0.54  % (29894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (29894)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (29894)Memory used [KB]: 5884
% 0.20/0.54  % (29894)Time elapsed: 0.132 s
% 0.20/0.54  % (29894)Instructions burned: 2 (million)
% 0.20/0.54  % (29894)------------------------------
% 0.20/0.54  % (29894)------------------------------
% 0.20/0.54  % (29884)Success in time 0.186 s
%------------------------------------------------------------------------------