TSTP Solution File: SYN054-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN054-1 : 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 : 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 19:36:42 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (   3 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   53 (  26   ~;  23   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   5 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15,f25,f28,f32,f36]) ).

fof(f36,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f34,f33]) ).

fof(f33,plain,
    ( big_s(b)
    | ~ spl0_1 ),
    inference(resolution,[],[f10,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ big_q(X0)
      | big_s(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f10,plain,
    ( big_q(b)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f8]) ).

fof(f8,plain,
    ( spl0_1
  <=> big_q(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f34,plain,
    ( ~ big_s(b)
    | ~ spl0_1 ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ big_q(X0)
      | ~ big_s(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f32,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f30,f29]) ).

fof(f29,plain,
    ( big_s(a)
    | ~ spl0_4 ),
    inference(resolution,[],[f24,f4]) ).

fof(f24,plain,
    ( big_q(a)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_4
  <=> big_q(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f30,plain,
    ( ~ big_s(a)
    | ~ spl0_4 ),
    inference(resolution,[],[f24,f1]) ).

fof(f28,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f26,f18,f12]) ).

fof(f12,plain,
    ( spl0_2
  <=> big_p(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f18,plain,
    ( spl0_3
  <=> big_r(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f26,plain,
    ( ~ big_p(a)
    | ~ spl0_3 ),
    inference(resolution,[],[f20,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ big_r(X0)
      | ~ big_p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f20,plain,
    ( big_r(a)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f25,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f16,f12,f22,f18]) ).

fof(f16,plain,
    ( big_q(a)
    | big_r(a)
    | ~ spl0_2 ),
    inference(resolution,[],[f2,f14]) ).

fof(f14,plain,
    ( big_p(a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ big_p(X0)
      | big_r(X0)
      | big_q(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f15,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f3,f12,f8]) ).

fof(f3,axiom,
    ( big_p(a)
    | big_q(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN054-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 21:29:03 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.48  % (8033)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.49  % (8048)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.18/0.49  % (8034)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.49  % (8024)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.49  % (8040)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.50  % (8024)First to succeed.
% 0.18/0.50  % (8033)Also succeeded, but the first one will report.
% 0.18/0.50  % (8024)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  % (8024)------------------------------
% 0.18/0.50  % (8024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (8024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (8024)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (8024)Memory used [KB]: 5373
% 0.18/0.50  % (8024)Time elapsed: 0.107 s
% 0.18/0.50  % (8024)Instructions burned: 1 (million)
% 0.18/0.50  % (8024)------------------------------
% 0.18/0.50  % (8024)------------------------------
% 0.18/0.50  % (8020)Success in time 0.156 s
%------------------------------------------------------------------------------