TSTP Solution File: SYN098-1.002 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n016.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 19:25:33 EDT 2022

% Result   : Unsatisfiable 1.30s 0.66s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   47 (   2 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   99 (  37   ~;  48   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   30 (  29 usr;  30 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f305,plain,
    $false,
    inference(avatar_sat_refutation,[],[f210,f216,f221,f231,f244,f253,f254,f255,f257,f271,f279,f285,f286,f297,f301]) ).

fof(f301,plain,
    ( ~ spl0_7
    | spl0_38
    | spl0_39
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f3,f105,f250,f246,f96]) ).

fof(f96,plain,
    ( spl0_7
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f246,plain,
    ( spl0_38
  <=> p_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f250,plain,
    ( spl0_39
  <=> u_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f105,plain,
    ( spl0_9
  <=> p_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3,axiom,
    ( ~ p_1
    | u_2
    | p_0
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_1) ).

fof(f297,plain,
    ( spl0_22
    | ~ spl0_5
    | ~ spl0_7
    | spl0_32 ),
    inference(avatar_split_clause,[],[f13,f213,f96,f88,f166]) ).

fof(f166,plain,
    ( spl0_22
  <=> q_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f88,plain,
    ( spl0_5
  <=> q_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f213,plain,
    ( spl0_32
  <=> u_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f13,axiom,
    ( u_7
    | ~ p_2
    | ~ q_1
    | q_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_2) ).

fof(f286,plain,
    ( ~ spl0_11
    | spl0_5
    | ~ spl0_24
    | spl0_37 ),
    inference(avatar_split_clause,[],[f17,f241,f174,f88,f114]) ).

fof(f114,plain,
    ( spl0_11
  <=> p_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f174,plain,
    ( spl0_24
  <=> q_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f241,plain,
    ( spl0_37
  <=> u_9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f17,axiom,
    ( u_9
    | ~ q_2
    | q_1
    | ~ p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_4) ).

fof(f285,plain,
    ( ~ spl0_42
    | spl0_7 ),
    inference(avatar_split_clause,[],[f28,f96,f276]) ).

fof(f276,plain,
    ( spl0_42
  <=> u_14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f28,axiom,
    ( p_2
    | ~ u_14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_14_t3_1) ).

fof(f279,plain,
    ( spl0_42
    | spl0_7 ),
    inference(avatar_split_clause,[],[f27,f96,f276]) ).

fof(f27,axiom,
    ( p_2
    | u_14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_1) ).

fof(f271,plain,
    ( spl0_24
    | spl0_31 ),
    inference(avatar_split_clause,[],[f31,f207,f174]) ).

fof(f207,plain,
    ( spl0_31
  <=> u_16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f31,axiom,
    ( u_16
    | q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_3) ).

fof(f257,plain,
    ( ~ spl0_38
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f256,f166,f246]) ).

fof(f256,plain,
    ( ~ q_0
    | ~ p_0 ),
    inference(subsumption_resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ~ u_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s3_goal_1) ).

fof(f1,axiom,
    ( u_1
    | ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_goal_1) ).

fof(f255,plain,
    ( ~ spl0_35
    | spl0_9 ),
    inference(avatar_split_clause,[],[f8,f105,f228]) ).

fof(f228,plain,
    ( spl0_35
  <=> u_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f8,axiom,
    ( p_1
    | ~ u_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_4_s3_type11_3) ).

fof(f254,plain,
    ( spl0_11
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f30,f218,f114]) ).

fof(f218,plain,
    ( spl0_33
  <=> u_15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f30,axiom,
    ( ~ u_15
    | p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_15_t3_2) ).

fof(f253,plain,
    ( spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f4,f250,f246]) ).

fof(f4,axiom,
    ( ~ u_2
    | p_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s3_type11_1) ).

fof(f244,plain,
    ( spl0_5
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f18,f241,f88]) ).

fof(f18,axiom,
    ( ~ u_9
    | q_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_9_s3_type12_4) ).

fof(f231,plain,
    ( ~ spl0_11
    | spl0_35
    | spl0_9
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7,f96,f105,f228,f114]) ).

fof(f7,axiom,
    ( ~ p_2
    | p_1
    | u_4
    | ~ p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_3) ).

fof(f221,plain,
    ( spl0_11
    | spl0_33 ),
    inference(avatar_split_clause,[],[f29,f218,f114]) ).

fof(f29,axiom,
    ( u_15
    | p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_2) ).

fof(f216,plain,
    ( spl0_22
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f14,f213,f166]) ).

fof(f14,axiom,
    ( ~ u_7
    | q_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_7_s3_type12_2) ).

fof(f210,plain,
    ( spl0_24
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f32,f207,f174]) ).

fof(f32,axiom,
    ( ~ u_16
    | q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_16_t3_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % 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 : n016.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   : Tue Aug 30 21:53:01 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.36  ipcrm: permission denied for id (779223048)
% 0.19/0.37  ipcrm: permission denied for id (779255824)
% 0.19/0.38  ipcrm: permission denied for id (779321366)
% 0.19/0.38  ipcrm: permission denied for id (779354135)
% 0.19/0.40  ipcrm: permission denied for id (779386920)
% 0.19/0.43  ipcrm: permission denied for id (779419709)
% 0.19/0.47  ipcrm: permission denied for id (779616350)
% 0.19/0.49  ipcrm: permission denied for id (779681902)
% 0.19/0.49  ipcrm: permission denied for id (779747440)
% 0.19/0.49  ipcrm: permission denied for id (779780209)
% 0.84/0.64  % (1110)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.84/0.64  % (1110)First to succeed.
% 0.84/0.66  % (1119)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.84/0.66  % (1102)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 (2998ds/34Mi)
% 1.30/0.66  % (1110)Refutation found. Thanks to Tanya!
% 1.30/0.66  % SZS status Unsatisfiable for theBenchmark
% 1.30/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.66  % (1110)------------------------------
% 1.30/0.66  % (1110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.66  % (1110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.66  % (1110)Termination reason: Refutation
% 1.30/0.66  
% 1.30/0.66  % (1110)Memory used [KB]: 6012
% 1.30/0.66  % (1110)Time elapsed: 0.003 s
% 1.30/0.66  % (1110)Instructions burned: 2 (million)
% 1.30/0.66  % (1110)------------------------------
% 1.30/0.66  % (1110)------------------------------
% 1.30/0.66  % (926)Success in time 0.309 s
%------------------------------------------------------------------------------