TSTP Solution File: CAT007-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT007-3 : 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_uns --cores 0 -t %d %s

% Computer : n003.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 15:50:41 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% 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       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,plain,
    $false,
    inference(subsumption_resolution,[],[f31,f11]) ).

fof(f11,axiom,
    equalish(domain(c2),codomain(c1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_equals_codomain_of_c1) ).

fof(f31,plain,
    ~ equalish(domain(c2),codomain(c1)),
    inference(subsumption_resolution,[],[f30,f9]) ).

fof(f9,axiom,
    there_exists(domain(c2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_exists) ).

fof(f30,plain,
    ( ~ there_exists(domain(c2))
    | ~ equalish(domain(c2),codomain(c1)) ),
    inference(resolution,[],[f5,f12]) ).

fof(f12,axiom,
    ~ there_exists(compose(c2,c1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c1_c2_is_defined) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( there_exists(compose(X0,X1))
      | ~ there_exists(domain(X0))
      | ~ equalish(domain(X0),codomain(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CAT007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 16:17:37 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.52  % (3640)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53  % (3663)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (3640)First to succeed.
% 0.21/0.54  % (3640)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (3640)------------------------------
% 0.21/0.54  % (3640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (3640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (3640)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (3640)Memory used [KB]: 1279
% 0.21/0.54  % (3640)Time elapsed: 0.114 s
% 0.21/0.54  % (3640)Instructions burned: 2 (million)
% 0.21/0.54  % (3640)------------------------------
% 0.21/0.54  % (3640)------------------------------
% 0.21/0.54  % (3633)Success in time 0.182 s
%------------------------------------------------------------------------------