TSTP Solution File: SYN004-1.007 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN004-1.007 : TPTP v8.1.0. Released v1.0.0.
% 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 : n007.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 19:36:32 EDT 2022

% Result   : Unsatisfiable 0.11s 0.37s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   45 (   5 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  116 (  52   ~;  50   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   29 (  28 usr;  29 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f33,f42,f55,f64,f65,f66,f71,f76,f77,f78,f79,f80,f85,f86]) ).

fof(f86,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f12,f82,f30,f25]) ).

fof(f25,plain,
    ( spl0_3
  <=> p_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f30,plain,
    ( spl0_4
  <=> q_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f82,plain,
    ( spl0_14
  <=> q_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f12,axiom,
    ( q_7
    | ~ q_6
    | ~ p_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_6) ).

fof(f85,plain,
    ( ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f15,f82,f68]) ).

fof(f68,plain,
    ( spl0_12
  <=> p_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f15,axiom,
    ( ~ q_7
    | ~ p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_3) ).

fof(f80,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f13,f48]) ).

fof(f48,plain,
    ( spl0_8
  <=> p_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f13,axiom,
    p_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_1) ).

fof(f79,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f4,f39,f35,f21]) ).

fof(f21,plain,
    ( spl0_2
  <=> p_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f35,plain,
    ( spl0_5
  <=> p_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f39,plain,
    ( spl0_6
  <=> q_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f4,axiom,
    ( ~ q_4
    | ~ p_4
    | p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_4) ).

fof(f78,plain,
    ( spl0_11
    | ~ spl0_13
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f8,f44,f73,f61]) ).

fof(f61,plain,
    ( spl0_11
  <=> q_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f73,plain,
    ( spl0_13
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f44,plain,
    ( spl0_7
  <=> q_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f8,axiom,
    ( ~ q_2
    | ~ p_2
    | q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_2) ).

fof(f77,plain,
    ( ~ spl0_7
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2,f73,f57,f44]) ).

fof(f57,plain,
    ( spl0_10
  <=> p_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2,axiom,
    ( ~ p_2
    | p_3
    | ~ q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_2) ).

fof(f76,plain,
    ( ~ spl0_8
    | spl0_13
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1,f52,f73,f48]) ).

fof(f52,plain,
    ( spl0_9
  <=> q_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1,axiom,
    ( ~ q_1
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_1) ).

fof(f71,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f6,f68,f25,f30]) ).

fof(f6,axiom,
    ( p_7
    | ~ p_6
    | ~ q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_6) ).

fof(f66,plain,
    ( spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f9,f61,f57,f39]) ).

fof(f9,axiom,
    ( ~ q_3
    | ~ p_3
    | q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_3) ).

fof(f65,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f14,f52]) ).

fof(f14,axiom,
    q_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_2) ).

fof(f64,plain,
    ( spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f3,f61,f57,f35]) ).

fof(f3,axiom,
    ( ~ q_3
    | ~ p_3
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_3) ).

fof(f55,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f7,f52,f48,f44]) ).

fof(f7,axiom,
    ( ~ q_1
    | ~ p_1
    | q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_1) ).

fof(f42,plain,
    ( ~ spl0_5
    | spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f10,f39,f17,f35]) ).

fof(f17,plain,
    ( spl0_1
  <=> q_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f10,axiom,
    ( ~ q_4
    | q_5
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_4) ).

fof(f33,plain,
    ( spl0_4
    | ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f11,f17,f21,f30]) ).

fof(f11,axiom,
    ( ~ q_5
    | ~ p_5
    | q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_5) ).

fof(f28,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f25,f21,f17]) ).

fof(f5,axiom,
    ( p_6
    | ~ p_5
    | ~ q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem    : SYN004-1.007 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26  % Computer : n007.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Tue Aug 30 21:06:16 EDT 2022
% 0.07/0.26  % CPUTime    : 
% 0.11/0.35  % (20334)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.11/0.36  % (20326)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.11/0.37  % (20320)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 (3000ds/68Mi)
% 0.11/0.37  % (20334)First to succeed.
% 0.11/0.37  % (20319)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.11/0.37  % (20320)Also succeeded, but the first one will report.
% 0.11/0.37  % (20334)Refutation found. Thanks to Tanya!
% 0.11/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.37  % (20334)------------------------------
% 0.11/0.37  % (20334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.37  % (20334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.37  % (20334)Termination reason: Refutation
% 0.11/0.37  
% 0.11/0.37  % (20334)Memory used [KB]: 5373
% 0.11/0.37  % (20334)Time elapsed: 0.004 s
% 0.11/0.37  % (20334)Instructions burned: 1 (million)
% 0.11/0.37  % (20334)------------------------------
% 0.11/0.37  % (20334)------------------------------
% 0.11/0.37  % (20305)Success in time 0.106 s
%------------------------------------------------------------------------------