TSTP Solution File: SYN071+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 11:25:09 EDT 2022

% Result   : Theorem 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(pel48,conjecture,
    ( a = d
    | b = c ),
    input ).

fof(c0,negated_conjecture,
    ~ ( a = d
      | b = c ),
    inference(assume_negation,status(cth),[pel48]) ).

fof(c1,negated_conjecture,
    ( a != d
    & b != c ),
    inference(fof_nnf,status(thm),[c0]) ).

cnf(c3,negated_conjecture,
    b != c,
    inference(split_conjunct,status(thm),[c1]) ).

cnf(symmetry,axiom,
    ( X3 != X4
    | X4 = X3 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X7 != X8
    | X8 != X6
    | X7 = X6 ),
    eq_axiom ).

cnf(c2,negated_conjecture,
    a != d,
    inference(split_conjunct,status(thm),[c1]) ).

fof(pel48_2,axiom,
    ( a = c
    | b = d ),
    input ).

cnf(c4,axiom,
    ( a = c
    | b = d ),
    inference(split_conjunct,status(thm),[pel48_2]) ).

cnf(c8,plain,
    ( b = d
    | c = a ),
    inference(resolution,status(thm),[c4,symmetry]) ).

cnf(c19,plain,
    ( b = d
    | X16 != c
    | X16 = a ),
    inference(resolution,status(thm),[c8,transitivity]) ).

cnf(c9,plain,
    ( b = d
    | X11 != a
    | X11 = c ),
    inference(resolution,status(thm),[c4,transitivity]) ).

fof(pel48_1,axiom,
    ( a = b
    | c = d ),
    input ).

cnf(c5,axiom,
    ( a = b
    | c = d ),
    inference(split_conjunct,status(thm),[pel48_1]) ).

cnf(c12,plain,
    ( c = d
    | b = a ),
    inference(resolution,status(thm),[c5,symmetry]) ).

cnf(c28,plain,
    ( c = d
    | b = d
    | b = c ),
    inference(resolution,status(thm),[c12,c9]) ).

cnf(c98,plain,
    ( c = d
    | b = d ),
    inference(resolution,status(thm),[c28,c3]) ).

cnf(c104,plain,
    ( b = d
    | d = c ),
    inference(resolution,status(thm),[c98,symmetry]) ).

cnf(c115,plain,
    ( b = d
    | d = a ),
    inference(resolution,status(thm),[c104,c19]) ).

cnf(c147,plain,
    ( b = d
    | a = d ),
    inference(resolution,status(thm),[c115,symmetry]) ).

cnf(c183,plain,
    b = d,
    inference(resolution,status(thm),[c147,c2]) ).

cnf(c190,plain,
    d = b,
    inference(resolution,status(thm),[c183,symmetry]) ).

cnf(c192,plain,
    ( X25 != d
    | X25 = b ),
    inference(resolution,status(thm),[c190,transitivity]) ).

cnf(c29,plain,
    ( c = d
    | X20 != b
    | X20 = a ),
    inference(resolution,status(thm),[c12,transitivity]) ).

cnf(c107,plain,
    ( c = d
    | d = b ),
    inference(resolution,status(thm),[c98,symmetry]) ).

cnf(c121,plain,
    ( c = d
    | d = a ),
    inference(resolution,status(thm),[c107,c29]) ).

cnf(c156,plain,
    ( c = d
    | a = d ),
    inference(resolution,status(thm),[c121,symmetry]) ).

cnf(c218,plain,
    c = d,
    inference(resolution,status(thm),[c156,c2]) ).

cnf(c237,plain,
    c = b,
    inference(resolution,status(thm),[c218,c192]) ).

cnf(c242,plain,
    b = c,
    inference(resolution,status(thm),[c237,symmetry]) ).

cnf(c249,plain,
    $false,
    inference(resolution,status(thm),[c242,c3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n006.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
% 0.12/0.34  % DateTime : Mon Jul 11 15:59:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.46/0.65  # Version:  1.3
% 0.46/0.65  # SZS status Theorem
% 0.46/0.65  # SZS output start CNFRefutation
% See solution above
% 0.46/0.65  
% 0.46/0.65  # Initial clauses    : 7
% 0.46/0.65  # Processed clauses  : 45
% 0.46/0.65  # Factors computed   : 0
% 0.46/0.65  # Resolvents computed: 246
% 0.46/0.65  # Tautologies deleted: 1
% 0.46/0.65  # Forward subsumed   : 50
% 0.46/0.65  # Backward subsumed  : 29
% 0.46/0.65  # -------- CPU Time ---------
% 0.46/0.65  # User time          : 0.292 s
% 0.46/0.65  # System time        : 0.014 s
% 0.46/0.65  # Total time         : 0.306 s
%------------------------------------------------------------------------------