%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET563-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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 : Tue Jul 19 03:35:28 EDT 2022

% Result   : Unsatisfiable 102.17s 102.41s
% Output   : CNFRefutation 102.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   20 (   4 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(compatible2,axiom,
    ( ~ compatible(Xh,Xf1,Xf2)
    | domain_of(domain_of(Xf1)) = domain_of(Xh) ) ).

cnf(compatible3,axiom,
    ( ~ compatible(Xh,Xf1,Xf2)
    | subclass(range_of(Xh),domain_of(domain_of(Xf2))) ) ).

cnf(prove_compatible_function_property3_1,negated_conjecture,
    compatible(xh1,xf1,xf2) ).

cnf(prove_compatible_function_property3_2,negated_conjecture,
    compatible(xh2,xf2,xf3) ).

cnf(prove_compatible_function_property3_3,negated_conjecture,
    ~ subclass(range_of(xh1),domain_of(xh2)) ).

cnf(refute_0_0,plain,
    ( ~ compatible(xh1,xf1,xf2)
    | subclass(range_of(xh1),domain_of(domain_of(xf2))) ),
    inference(subst,[],[compatible3:[bind(Xf1,$fot(xf1)),bind(Xf2,$fot(xf2)),bind(Xh,$fot(xh1))]]) ).

cnf(refute_0_1,plain,
    subclass(range_of(xh1),domain_of(domain_of(xf2))),
    inference(resolve,[$cnf( compatible(xh1,xf1,xf2) )],[prove_compatible_function_property3_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ compatible(xh2,xf2,xf3)
    | domain_of(domain_of(xf2)) = domain_of(xh2) ),
    inference(subst,[],[compatible2:[bind(Xf1,$fot(xf2)),bind(Xf2,$fot(xf3)),bind(Xh,$fot(xh2))]]) ).

cnf(refute_0_3,plain,
    domain_of(domain_of(xf2)) = domain_of(xh2),
    inference(resolve,[$cnf( compatible(xh2,xf2,xf3) )],[prove_compatible_function_property3_2,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( domain_of(domain_of(xf2)) != domain_of(xh2)
    | ~ subclass(range_of(xh1),domain_of(domain_of(xf2)))
    | subclass(range_of(xh1),domain_of(xh2)) ),
    introduced(tautology,[equality,[$cnf( subclass(range_of(xh1),domain_of(domain_of(xf2))) ),[1],$fot(domain_of(xh2))]]) ).

cnf(refute_0_5,plain,
    ( ~ subclass(range_of(xh1),domain_of(domain_of(xf2)))
    | subclass(range_of(xh1),domain_of(xh2)) ),
    inference(resolve,[$cnf( $equal(domain_of(domain_of(xf2)),domain_of(xh2)) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    subclass(range_of(xh1),domain_of(xh2)),
    inference(resolve,[$cnf( subclass(range_of(xh1),domain_of(domain_of(xf2))) )],[refute_0_1,refute_0_5]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( subclass(range_of(xh1),domain_of(xh2)) )],[refute_0_6,prove_compatible_function_property3_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET563-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n010.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 Jul 11 04:56:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 102.17/102.41  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.17/102.41  
% 102.17/102.41  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 102.17/102.41  
%------------------------------------------------------------------------------