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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GEO019-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 17:20:47 EDT 2024

% Result   : Unsatisfiable 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_symmetry,negated_conjecture,
    ~ equidistant(w,x,v,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).

cnf(u_to_v_equals_w_to_x,plain,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X3,X4,X4,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).

cnf(transitivity_for_equidistance,axiom,
    ( ~ equidistant(X7,X8,X6,X9)
    | ~ equidistant(X7,X8,X5,X10)
    | equidistant(X6,X9,X5,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).

cnf(c8,plain,
    ( ~ equidistant(X67,X66,X68,X65)
    | equidistant(X68,X65,X66,X67) ),
    inference(resolution,[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance]) ).

cnf(c34,plain,
    equidistant(w,x,v,u),
    inference(resolution,[status(thm)],[c8,u_to_v_equals_w_to_x]) ).

cnf(c43,plain,
    $false,
    inference(resolution,[status(thm)],[c34,prove_symmetry]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO019-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  9 07:48:53 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.39/0.55  % Version:  1.5
% 0.39/0.55  % SZS status Unsatisfiable
% 0.39/0.55  % SZS output start CNFRefutation
% See solution above
% 0.39/0.55  
% 0.39/0.55  % Initial clauses    : 30
% 0.39/0.55  % Processed clauses  : 23
% 0.39/0.55  % Factors computed   : 7
% 0.39/0.55  % Resolvents computed: 30
% 0.39/0.55  % Tautologies deleted: 2
% 0.39/0.55  % Forward subsumed   : 8
% 0.39/0.55  % Backward subsumed  : 1
% 0.39/0.55  % -------- CPU Time ---------
% 0.39/0.55  % User time          : 0.191 s
% 0.39/0.55  % System time        : 0.015 s
% 0.39/0.55  % Total time         : 0.206 s
%------------------------------------------------------------------------------