TSTP Solution File: SYN071-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN071-1 : 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 : n010.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 19:36:47 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (   3 unt;   0 def)
%            Number of atoms       :   55 (  18 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   57 (  28   ~;  25   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(avatar_sat_refutation,[],[f13,f22,f25,f27,f30,f34]) ).

fof(f34,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f33]) ).

fof(f33,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f32,f3]) ).

fof(f3,axiom,
    a != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f32,plain,
    ( a = d
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f8,f21]) ).

fof(f21,plain,
    ( a = b
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl0_4
  <=> a = b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f8,plain,
    ( b = d
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f6]) ).

fof(f6,plain,
    ( spl0_1
  <=> b = d ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f30,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f29]) ).

fof(f29,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f28,f3]) ).

fof(f28,plain,
    ( a = d
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f17,f12]) ).

fof(f12,plain,
    ( a = c
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_2
  <=> a = c ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f17,plain,
    ( c = d
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl0_3
  <=> c = d ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f27,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f26,f10,f19]) ).

fof(f26,plain,
    ( a != b
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f4,f12]) ).

fof(f4,axiom,
    b != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f25,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f24]) ).

fof(f24,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f23,f4]) ).

fof(f23,plain,
    ( b = c
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f17,f8]) ).

fof(f22,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1,f19,f15]) ).

fof(f1,axiom,
    ( a = b
    | c = d ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f13,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2,f10,f6]) ).

fof(f2,axiom,
    ( a = c
    | b = d ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN071-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.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 21:20:29 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (4604)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.50  % (4580)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50  % (4587)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50  % (4580)First to succeed.
% 0.19/0.50  % (4580)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  % (4580)------------------------------
% 0.19/0.50  % (4580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (4580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (4580)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (4580)Memory used [KB]: 5373
% 0.19/0.50  % (4580)Time elapsed: 0.003 s
% 0.19/0.50  % (4580)Instructions burned: 2 (million)
% 0.19/0.50  % (4580)------------------------------
% 0.19/0.50  % (4580)------------------------------
% 0.19/0.50  % (4578)Success in time 0.152 s
%------------------------------------------------------------------------------