%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 11:25:18 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(pel61,conjecture,
    ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
    input ).

fof(c1,negated_conjecture,
    ~ ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
    inference(assume_negation,status(cth),[pel61]) ).

fof(c2,negated_conjecture,
    ? [X,Y,Z,W] : f(X,f(Y,f(Z,W))) != f(f(f(X,Y),Z),W),
    inference(fof_nnf,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ? [X2,X3,X4,X5] : f(X2,f(X3,f(X4,X5))) != f(f(f(X2,X3),X4),X5),
    inference(variable_rename,status(thm),[c2]) ).

fof(c4,negated_conjecture,
    f(skolem0001,f(skolem0002,f(skolem0003,skolem0004))) != f(f(f(skolem0001,skolem0002),skolem0003),skolem0004),
    inference(skolemize,status(esa),[c3]) ).

cnf(c5,negated_conjecture,
    f(skolem0001,f(skolem0002,f(skolem0003,skolem0004))) != f(f(f(skolem0001,skolem0002),skolem0003),skolem0004),
    inference(split_conjunct,status(thm),[c4]) ).

fof(p61_1,axiom,
    ! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z),
    input ).

fof(c6,axiom,
    ! [X6,X7,X8] : f(X6,f(X7,X8)) = f(f(X6,X7),X8),
    inference(variable_rename,status(thm),[p61_1]) ).

cnf(c7,axiom,
    f(X27,f(X28,X29)) = f(f(X27,X28),X29),
    inference(split_conjunct,status(thm),[c6]) ).

cnf(transitivity,axiom,
    ( X15 != X13
    | X13 != X14
    | X15 = X14 ),
    eq_axiom ).

cnf(c12,plain,
    ( X37 != f(X38,f(X36,X39))
    | X37 = f(f(X38,X36),X39) ),
    inference(resolution,status(thm),[c7,transitivity]) ).

cnf(c20,plain,
    f(X70,f(X69,f(X72,X71))) = f(f(f(X70,X69),X72),X71),
    inference(resolution,status(thm),[c12,c7]) ).

cnf(c47,plain,
    $false,
    inference(resolution,status(thm),[c20,c5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n022.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 : Tue Jul 12 08:49:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.52  # Version:  1.3
% 0.18/0.52  # SZS status Theorem
% 0.18/0.52  # SZS output start CNFRefutation
% See solution above
% 0.18/0.52  
% 0.18/0.52  # Initial clauses    : 6
% 0.18/0.52  # Processed clauses  : 14
% 0.18/0.52  # Factors computed   : 0
% 0.18/0.52  # Resolvents computed: 43
% 0.18/0.52  # Tautologies deleted: 1
% 0.18/0.52  # Forward subsumed   : 7
% 0.18/0.52  # Backward subsumed  : 0
% 0.18/0.52  # -------- CPU Time ---------
% 0.18/0.52  # User time          : 0.167 s
% 0.18/0.52  # System time        : 0.015 s
% 0.18/0.52  # Total time         : 0.182 s
%------------------------------------------------------------------------------