TSTP Solution File: CAT016-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CAT016-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Sun May  5 04:43:49 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% 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 :    6 (   4   ~;   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(f27,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f18]) ).

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

fof(f25,plain,
    ~ there_exists(a),
    inference(resolution,[],[f23,f19]) ).

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CAT016-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 18:10:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (14268)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (14272)WARNING: value z3 for option sas not known
% 0.21/0.37  % (14272)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (14272)First to succeed.
% 0.21/0.37  % (14272)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14268"
% 0.21/0.38  % (14272)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (14272)------------------------------
% 0.21/0.38  % (14272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (14272)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (14272)Memory used [KB]: 772
% 0.21/0.38  % (14272)Time elapsed: 0.004 s
% 0.21/0.38  % (14272)Instructions burned: 3 (million)
% 0.21/0.38  % (14268)Success in time 0.013 s
%------------------------------------------------------------------------------