TSTP Solution File: KLE076+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : KLE076+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 02:23:04 EDT 2022

% Result   : Theorem 26.50s 26.70s
% Output   : Refutation 26.50s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

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

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

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

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

fof(domain4,axiom,
    domain(zero) = zero,
    input ).

cnf(c11,axiom,
    domain(zero) = zero,
    inference(split_conjunct,status(thm),[domain4]) ).

cnf(c52,plain,
    ( X138 != domain(zero)
    | X138 = zero ),
    inference(resolution,status(thm),[c11,transitivity]) ).

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

fof(right_annihilation,axiom,
    ! [A] : multiplication(A,zero) = zero,
    input ).

fof(c26,axiom,
    ! [X14] : multiplication(X14,zero) = zero,
    inference(variable_rename,status(thm),[right_annihilation]) ).

cnf(c27,axiom,
    multiplication(X66,zero) = zero,
    inference(split_conjunct,status(thm),[c26]) ).

cnf(c110,plain,
    domain(multiplication(X359,zero)) = domain(zero),
    inference(resolution,status(thm),[c27,c2]) ).

cnf(c2823,plain,
    domain(multiplication(X388,zero)) = zero,
    inference(resolution,status(thm),[c110,c52]) ).

cnf(c3288,plain,
    zero = domain(multiplication(X410,zero)),
    inference(resolution,status(thm),[c2823,symmetry]) ).

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

cnf(c7170,plain,
    zero = domain(multiplication(X2202,domain(zero))),
    inference(resolution,status(thm),[c170,c3288]) ).

cnf(c45067,plain,
    domain(multiplication(X2665,domain(zero))) = zero,
    inference(resolution,status(thm),[c7170,symmetry]) ).

cnf(c54896,plain,
    $false,
    inference(resolution,status(thm),[c45067,c8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE076+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 10:45:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 26.50/26.70  # Version:  1.3
% 26.50/26.70  # SZS status Theorem
% 26.50/26.70  # SZS output start CNFRefutation
% See solution above
% 26.50/26.70  
% 26.50/26.70  # Initial clauses    : 26
% 26.50/26.70  # Processed clauses  : 842
% 26.50/26.70  # Factors computed   : 0
% 26.50/26.70  # Resolvents computed: 55055
% 26.50/26.70  # Tautologies deleted: 1
% 26.50/26.70  # Forward subsumed   : 1449
% 26.50/26.70  # Backward subsumed  : 35
% 26.50/26.70  # -------- CPU Time ---------
% 26.50/26.70  # User time          : 26.205 s
% 26.50/26.70  # System time        : 0.120 s
% 26.50/26.70  # Total time         : 26.325 s
%------------------------------------------------------------------------------