TSTP Solution File: CAT016-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT016-3 : 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 : n001.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 15:51:19 EDT 2022

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :    9 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f19]) ).

fof(f19,axiom,
    ~ there_exists(domain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_exists) ).

fof(f24,plain,
    there_exists(domain(a)),
    inference(resolution,[],[f23,f18]) ).

fof(f18,axiom,
    there_exists(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_a_exists) ).

fof(f23,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | there_exists(domain(X0)) ),
    inference(superposition,[],[f6,f10]) ).

fof(f10,axiom,
    ! [X0] : compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : CAT016-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.11  % 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 : n001.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   : Mon Aug 29 16:40:29 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.48  % (5572)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.48  % (5563)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 (2999ds/68Mi)
% 0.16/0.49  % (5572)First to succeed.
% 0.16/0.49  % (5564)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.49  % (5572)Refutation found. Thanks to Tanya!
% 0.16/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49  % (5572)------------------------------
% 0.16/0.49  % (5572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (5572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (5572)Termination reason: Refutation
% 0.16/0.49  
% 0.16/0.49  % (5572)Memory used [KB]: 5373
% 0.16/0.49  % (5572)Time elapsed: 0.061 s
% 0.16/0.49  % (5572)Instructions burned: 2 (million)
% 0.16/0.49  % (5572)------------------------------
% 0.16/0.49  % (5572)------------------------------
% 0.16/0.49  % (5548)Success in time 0.172 s
%------------------------------------------------------------------------------