TSTP Solution File: SYN012-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n023.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 19:36:34 EDT 2022

% Result   : Unsatisfiable 0.16s 0.42s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   48 (  25   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f33]) ).

fof(f33,plain,
    ! [X2,X3] : big_f(X2,X3),
    inference(resolution,[],[f31,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( big_f(g(X0,X1),g(X0,X1))
      | big_f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f31,plain,
    ! [X6] : ~ big_f(X6,X6),
    inference(subsumption_resolution,[],[f30,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( big_f(X1,g(X0,X1))
      | big_f(X0,g(X0,X1))
      | ~ big_f(X0,X1) ),
    inference(resolution,[],[f2,f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( big_g(X0,X1)
      | big_f(X0,X1) ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ big_g(g(X0,X1),g(X0,X1))
      | big_f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( big_g(g(X0,X1),g(X0,X1))
      | big_g(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_g(X1,g(X0,X1))
      | big_f(X0,g(X0,X1))
      | ~ big_f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f30,plain,
    ! [X6] :
      ( ~ big_f(X6,X6)
      | ~ big_f(X6,g(X6,X6)) ),
    inference(resolution,[],[f25,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( big_g(X0,g(X0,X0))
      | ~ big_f(X0,X0) ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ big_f(X0,X0)
      | big_g(X0,g(X0,X0))
      | ~ big_f(X0,X0) ),
    inference(resolution,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,g(X0,X1))
      | big_g(X1,g(X0,X1))
      | ~ big_f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f15,plain,
    ! [X0] :
      ( big_f(X0,g(X0,X0))
      | ~ big_f(X0,X0) ),
    inference(factoring,[],[f12]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ big_g(X0,X1)
      | ~ big_f(X0,X1) ),
    inference(resolution,[],[f24,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ big_g(g(X0,X1),g(X0,X1))
      | ~ big_g(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

fof(f24,plain,
    ! [X0,X1] :
      ( big_g(g(X0,X1),g(X0,X1))
      | ~ big_f(X0,X1) ),
    inference(subsumption_resolution,[],[f22,f6]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( big_g(g(X0,X1),g(X0,X1))
      | ~ big_f(X0,X1)
      | ~ big_g(X0,X1) ),
    inference(resolution,[],[f3,f11]) ).

fof(f11,plain,
    ! [X2,X3] :
      ( big_f(g(X2,X3),g(X2,X3))
      | ~ big_g(X2,X3) ),
    inference(resolution,[],[f7,f8]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ big_f(g(X0,X1),g(X0,X1))
      | big_g(g(X0,X1),g(X0,X1))
      | ~ big_f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f34,plain,
    ! [X0,X1] : ~ big_f(X0,X1),
    inference(resolution,[],[f32,f24]) ).

fof(f32,plain,
    ! [X0,X1] : ~ big_g(X0,X1),
    inference(resolution,[],[f31,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 22:20:04 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.40  % (9564)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.16/0.41  % (9564)First to succeed.
% 0.16/0.42  % (9564)Refutation found. Thanks to Tanya!
% 0.16/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.42  % (9564)------------------------------
% 0.16/0.42  % (9564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.42  % (9564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.42  % (9564)Termination reason: Refutation
% 0.16/0.42  
% 0.16/0.42  % (9564)Memory used [KB]: 5373
% 0.16/0.42  % (9564)Time elapsed: 0.066 s
% 0.16/0.42  % (9564)Instructions burned: 2 (million)
% 0.16/0.42  % (9564)------------------------------
% 0.16/0.42  % (9564)------------------------------
% 0.16/0.42  % (9551)Success in time 0.107 s
%------------------------------------------------------------------------------