%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GEO057-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 : Thu May  9 17:20:55 EDT 2024

% Result   : Unsatisfiable 0.42s 0.60s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   3 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
    ( ~ equidistant(X20,X22,X21,X21)
    | X20 = X22 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(r2_2,axiom,
    equidistant(X28,reflection(X29,X28),X29,X28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_2) ).

cnf(c15,plain,
    X30 = reflection(X30,X30),
    inference(resolution,[status(thm)],[r2_2,identity_for_equidistance]) ).

cnf(prove_null_extension_by_reflection,negated_conjecture,
    u != reflection(u,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_extension_by_reflection) ).

cnf(c20,plain,
    $false,
    inference(resolution,[status(thm)],[prove_null_extension_by_reflection,c15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO057-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  9 08:32:53 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.42/0.60  % Version:  1.5
% 0.42/0.60  % SZS status Unsatisfiable
% 0.42/0.60  % SZS output start CNFRefutation
% See solution above
% 0.42/0.60  
% 0.42/0.60  % Initial clauses    : 44
% 0.42/0.60  % Processed clauses  : 19
% 0.42/0.60  % Factors computed   : 1
% 0.42/0.60  % Resolvents computed: 14
% 0.42/0.60  % Tautologies deleted: 0
% 0.42/0.60  % Forward subsumed   : 5
% 0.42/0.60  % Backward subsumed  : 0
% 0.42/0.60  % -------- CPU Time ---------
% 0.42/0.60  % User time          : 0.236 s
% 0.42/0.60  % System time        : 0.019 s
% 0.42/0.60  % Total time         : 0.255 s
%------------------------------------------------------------------------------