%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO056-3 : TPTP v8.1.0. 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  : 600s
% DateTime : Sat Jul 16 05:57:59 EDT 2022

% Result   : Unsatisfiable 1.18s 1.34s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_v_equals_reflection,negated_conjecture,
    v != reflection(u,v),
    input ).

cnf(symmetry,axiom,
    ( X15 != X16
    | X16 = X15 ),
    eq_axiom ).

cnf(identity_for_equidistance,axiom,
    ( ~ equidistant(X18,X19,X20,X20)
    | X18 = X19 ),
    input ).

cnf(r2_2,axiom,
    equidistant(X33,reflection(X32,X33),X32,X33),
    input ).

cnf(c17,plain,
    X34 = reflection(X34,X34),
    inference(resolution,status(thm),[r2_2,identity_for_equidistance]) ).

cnf(c18,plain,
    reflection(X35,X35) = X35,
    inference(resolution,status(thm),[c17,symmetry]) ).

cnf(transitivity,axiom,
    ( X316 != X317
    | X317 != X318
    | X316 = X318 ),
    eq_axiom ).

cnf(c260,plain,
    ( X660 != reflection(X659,X659)
    | X660 = X659 ),
    inference(resolution,status(thm),[transitivity,c18]) ).

cnf(u_equals_v,plain,
    u = v,
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c5,plain,
    ( X423 != X426
    | X424 != X425
    | reflection(X423,X424) = reflection(X426,X425) ),
    eq_axiom ).

cnf(c313,plain,
    ( X1367 != X1366
    | reflection(X1367,X1365) = reflection(X1366,X1365) ),
    inference(resolution,status(thm),[c5,reflexivity]) ).

cnf(c1455,plain,
    reflection(u,X1382) = reflection(v,X1382),
    inference(resolution,status(thm),[c313,u_equals_v]) ).

cnf(c1543,plain,
    reflection(u,v) = v,
    inference(resolution,status(thm),[c1455,c260]) ).

cnf(c1568,plain,
    v = reflection(u,v),
    inference(resolution,status(thm),[c1543,symmetry]) ).

cnf(c1584,plain,
    $false,
    inference(resolution,status(thm),[c1568,prove_v_equals_reflection]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO056-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 10:16:10 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 1.18/1.34  # Version:  1.3
% 1.18/1.34  # SZS status Unsatisfiable
% 1.18/1.34  # SZS output start CNFRefutation
% See solution above
% 1.18/1.34  
% 1.18/1.34  # Initial clauses    : 45
% 1.18/1.34  # Processed clauses  : 165
% 1.18/1.34  # Factors computed   : 6
% 1.18/1.34  # Resolvents computed: 1577
% 1.18/1.34  # Tautologies deleted: 2
% 1.18/1.34  # Forward subsumed   : 351
% 1.18/1.34  # Backward subsumed  : 1
% 1.18/1.34  # -------- CPU Time ---------
% 1.18/1.34  # User time          : 0.955 s
% 1.18/1.34  # System time        : 0.020 s
% 1.18/1.34  # Total time         : 0.975 s
%------------------------------------------------------------------------------