%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : FLD039-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 : Sat Jul 16 02:19:29 EDT 2022

% Result   : Unsatisfiable 0.46s 0.64s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(symmetry_of_equality,axiom,
    ( equalish(X,Y)
    | ~ equalish(Y,X) ) ).

cnf(different_identities,axiom,
    ~ equalish(additive_identity,multiplicative_identity) ).

cnf(multiplicative_identity_equals_additive_identity_3,negated_conjecture,
    equalish(multiplicative_identity,additive_identity) ).

cnf(refute_0_0,plain,
    ( ~ equalish(multiplicative_identity,additive_identity)
    | equalish(additive_identity,multiplicative_identity) ),
    inference(subst,[],[symmetry_of_equality:[bind(X,$fot(additive_identity)),bind(Y,$fot(multiplicative_identity))]]) ).

cnf(refute_0_1,plain,
    equalish(additive_identity,multiplicative_identity),
    inference(resolve,[$cnf( equalish(multiplicative_identity,additive_identity) )],[multiplicative_identity_equals_additive_identity_3,refute_0_0]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( equalish(additive_identity,multiplicative_identity) )],[refute_0_1,different_identities]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : FLD039-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun  6 13:35:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.46/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64  
% 0.46/0.64  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.46/0.64  
%------------------------------------------------------------------------------