%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO018-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 05:57:41 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_symmetry,negated_conjecture,
    ~ equidistant(v,u,x,w),
    input ).

cnf(d3,axiom,
    ( ~ equidistant(X75,X76,X77,X74)
    | equidistant(X76,X75,X77,X74) ),
    input ).

cnf(d2,axiom,
    ( ~ equidistant(X49,X50,X51,X48)
    | equidistant(X51,X48,X49,X50) ),
    input ).

cnf(u_to_v_equals_w_to_x,plain,
    equidistant(u,v,w,x),
    input ).

cnf(c23,plain,
    equidistant(w,x,u,v),
    inference(resolution,status(thm),[d2,u_to_v_equals_w_to_x]) ).

cnf(c37,plain,
    equidistant(x,w,u,v),
    inference(resolution,status(thm),[d3,c23]) ).

cnf(c46,plain,
    equidistant(u,v,x,w),
    inference(resolution,status(thm),[c37,d2]) ).

cnf(c57,plain,
    equidistant(v,u,x,w),
    inference(resolution,status(thm),[c46,d3]) ).

cnf(c65,plain,
    $false,
    inference(resolution,status(thm),[c57,prove_symmetry]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 20:58:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  # Version:  1.3
% 0.20/0.57  # SZS status Unsatisfiable
% 0.20/0.57  # SZS output start CNFRefutation
% See solution above
% 0.20/0.57  
% 0.20/0.57  # Initial clauses    : 33
% 0.20/0.57  # Processed clauses  : 31
% 0.20/0.57  # Factors computed   : 0
% 0.20/0.57  # Resolvents computed: 62
% 0.20/0.57  # Tautologies deleted: 0
% 0.20/0.57  # Forward subsumed   : 13
% 0.20/0.57  # Backward subsumed  : 0
% 0.20/0.57  # -------- CPU Time ---------
% 0.20/0.57  # User time          : 0.206 s
% 0.20/0.57  # System time        : 0.024 s
% 0.20/0.57  # Total time         : 0.230 s
%------------------------------------------------------------------------------