TSTP Solution File: COL086-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : COL086-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.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  : 600s
% DateTime : Fri Jul 15 00:36:28 EDT 2022

% Result   : Unsatisfiable 0.11s 0.32s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    4 (   3 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    4 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_happiness_2,negated_conjecture,
    response(a,B) != A ).

cnf(refute_0_0,plain,
    response(a,B) != response(a,B),
    inference(subst,[],[prove_happiness_2:[bind(A,$fot(response(a,B)))]]) ).

cnf(refute_0_1,plain,
    response(a,B) = response(a,B),
    introduced(tautology,[refl,[$fot(response(a,B))]]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( $equal(response(a,B),response(a,B)) )],[refute_0_1,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : COL086-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.11  % Command  : metis --show proof --show saturation %s
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue May 31 13:16:36 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.32  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  
% 0.11/0.32  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.32  
%------------------------------------------------------------------------------