TSTP Solution File: GEO056-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO056-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 0.80s 0.98s
% Output   : Refutation 0.80s
% 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,
    ( X11 != X12
    | X12 = X11 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X47 != X48
    | X48 != X49
    | X47 = X49 ),
    eq_axiom ).

cnf(reflection,axiom,
    reflection(X45,X46) = extension(X45,X46,X45,X46),
    input ).

cnf(identity_for_equidistance,axiom,
    ( ~ equidistant(X14,X15,X16,X16)
    | X14 = X15 ),
    input ).

cnf(segment_construction2,axiom,
    equidistant(X26,extension(X25,X26,X24,X27),X24,X27),
    input ).

cnf(c14,plain,
    X36 = extension(X37,X36,X38,X38),
    inference(resolution,status(thm),[segment_construction2,identity_for_equidistance]) ).

cnf(c17,plain,
    extension(X41,X40,X39,X39) = X40,
    inference(resolution,status(thm),[c14,symmetry]) ).

cnf(c21,plain,
    ( X237 != extension(X235,X238,X236,X236)
    | X237 = X238 ),
    inference(resolution,status(thm),[transitivity,c17]) ).

cnf(c142,plain,
    reflection(X250,X250) = X250,
    inference(resolution,status(thm),[c21,reflection]) ).

cnf(c165,plain,
    ( X279 != reflection(X278,X278)
    | X279 = X278 ),
    inference(resolution,status(thm),[c142,transitivity]) ).

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

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

cnf(c5,plain,
    ( X282 != X283
    | X281 != X284
    | reflection(X282,X281) = reflection(X283,X284) ),
    eq_axiom ).

cnf(c251,plain,
    ( X449 != X447
    | reflection(X449,X448) = reflection(X447,X448) ),
    inference(resolution,status(thm),[c5,reflexivity]) ).

cnf(c518,plain,
    reflection(u,X466) = reflection(v,X466),
    inference(resolution,status(thm),[c251,u_equals_v]) ).

cnf(c617,plain,
    reflection(u,v) = v,
    inference(resolution,status(thm),[c518,c165]) ).

cnf(c632,plain,
    v = reflection(u,v),
    inference(resolution,status(thm),[c617,symmetry]) ).

cnf(c658,plain,
    $false,
    inference(resolution,status(thm),[c632,prove_v_equals_reflection]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO056-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n023.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 : Fri Jun 17 17:16:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.80/0.98  # Version:  1.3
% 0.80/0.98  # SZS status Unsatisfiable
% 0.80/0.98  # SZS output start CNFRefutation
% See solution above
% 0.80/0.98  
% 0.80/0.98  # Initial clauses    : 32
% 0.80/0.98  # Processed clauses  : 99
% 0.80/0.98  # Factors computed   : 0
% 0.80/0.98  # Resolvents computed: 669
% 0.80/0.98  # Tautologies deleted: 1
% 0.80/0.98  # Forward subsumed   : 104
% 0.80/0.98  # Backward subsumed  : 0
% 0.80/0.98  # -------- CPU Time ---------
% 0.80/0.98  # User time          : 0.629 s
% 0.80/0.98  # System time        : 0.017 s
% 0.80/0.98  # Total time         : 0.646 s
%------------------------------------------------------------------------------