TSTP Solution File: KLE053+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : KLE053+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 : Sun Jul 17 02:22:59 EDT 2022

% Result   : Theorem 226.71s 226.95s
% Output   : Refutation 226.71s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X0] : domain(domain(X0)) = domain(X0),
    input ).

fof(c4,negated_conjecture,
    ~ ! [X0] : domain(domain(X0)) = domain(X0),
    inference(assume_negation,status(cth),[goals]) ).

fof(c5,negated_conjecture,
    ? [X0] : domain(domain(X0)) != domain(X0),
    inference(fof_nnf,status(thm),[c4]) ).

fof(c6,negated_conjecture,
    ? [X2] : domain(domain(X2)) != domain(X2),
    inference(variable_rename,status(thm),[c5]) ).

fof(c7,negated_conjecture,
    domain(domain(skolem0001)) != domain(skolem0001),
    inference(skolemize,status(esa),[c6]) ).

cnf(c8,negated_conjecture,
    domain(domain(skolem0001)) != domain(skolem0001),
    inference(split_conjunct,status(thm),[c7]) ).

cnf(symmetry,axiom,
    ( X36 != X35
    | X35 = X36 ),
    eq_axiom ).

fof(multiplicative_left_identity,axiom,
    ! [A] : multiplication(one,A) = A,
    input ).

fof(c32,axiom,
    ! [X21] : multiplication(one,X21) = X21,
    inference(variable_rename,status(thm),[multiplicative_left_identity]) ).

cnf(c33,axiom,
    multiplication(one,X43) = X43,
    inference(split_conjunct,status(thm),[c32]) ).

cnf(c55,plain,
    X52 = multiplication(one,X52),
    inference(resolution,status(thm),[c33,symmetry]) ).

cnf(c2,plain,
    ( X63 != X64
    | domain(X63) = domain(X64) ),
    eq_axiom ).

cnf(c94,plain,
    domain(X228) = domain(multiplication(one,X228)),
    inference(resolution,status(thm),[c2,c55]) ).

cnf(transitivity,axiom,
    ( X41 != X40
    | X40 != X39
    | X41 = X39 ),
    eq_axiom ).

fof(domain2,axiom,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    input ).

fof(c14,axiom,
    ! [X6,X7] : domain(multiplication(X6,X7)) = domain(multiplication(X6,domain(X7))),
    inference(variable_rename,status(thm),[domain2]) ).

cnf(c15,axiom,
    domain(multiplication(X96,X97)) = domain(multiplication(X96,domain(X97))),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c170,plain,
    ( X592 != domain(multiplication(X594,X593))
    | X592 = domain(multiplication(X594,domain(X593))) ),
    inference(resolution,status(thm),[c15,transitivity]) ).

cnf(c7176,plain,
    domain(X4293) = domain(multiplication(one,domain(X4293))),
    inference(resolution,status(thm),[c170,c94]) ).

cnf(c99,plain,
    domain(multiplication(one,X234)) = domain(X234),
    inference(resolution,status(thm),[c2,c33]) ).

cnf(c1285,plain,
    ( X6612 != domain(multiplication(one,X6613))
    | X6612 = domain(X6613) ),
    inference(resolution,status(thm),[c99,transitivity]) ).

cnf(c211231,plain,
    domain(X6615) = domain(domain(X6615)),
    inference(resolution,status(thm),[c1285,c7176]) ).

cnf(c211306,plain,
    domain(domain(X6618)) = domain(X6618),
    inference(resolution,status(thm),[c211231,symmetry]) ).

cnf(c211610,plain,
    $false,
    inference(resolution,status(thm),[c211306,c8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE053+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 16 12:08:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 226.71/226.95  # Version:  1.3
% 226.71/226.95  # SZS status Theorem
% 226.71/226.95  # SZS output start CNFRefutation
% See solution above
% 226.71/226.95  
% 226.71/226.95  # Initial clauses    : 26
% 226.71/226.95  # Processed clauses  : 2012
% 226.71/226.95  # Factors computed   : 0
% 226.71/226.95  # Resolvents computed: 211698
% 226.71/226.95  # Tautologies deleted: 1
% 226.71/226.95  # Forward subsumed   : 4068
% 226.71/226.95  # Backward subsumed  : 103
% 226.71/226.95  # -------- CPU Time ---------
% 226.71/226.95  # User time          : 226.150 s
% 226.71/226.95  # System time        : 0.408 s
% 226.71/226.95  # Total time         : 226.558 s
%------------------------------------------------------------------------------