%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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   : Unsatisfiable 0.37s 0.57s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    f(a,f(b,f(c,d))) != f(f(f(a,b),c),d),
    input ).

cnf(f_is_associative,axiom,
    f(X13,f(X12,X11)) = f(f(X13,X12),X11),
    input ).

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

cnf(c4,plain,
    ( X30 != f(X32,f(X31,X29))
    | X30 = f(f(X32,X31),X29) ),
    inference(resolution,status(thm),[f_is_associative,transitivity]) ).

cnf(c15,plain,
    f(X62,f(X65,f(X64,X63))) = f(f(f(X62,X65),X64),X63),
    inference(resolution,status(thm),[c4,f_is_associative]) ).

cnf(c39,plain,
    $false,
    inference(resolution,status(thm),[c15,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 14:10:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.37/0.57  # Version:  1.3
% 0.37/0.57  # SZS status Unsatisfiable
% 0.37/0.57  # SZS output start CNFRefutation
% See solution above
% 0.37/0.57  
% 0.37/0.57  # Initial clauses    : 6
% 0.37/0.57  # Processed clauses  : 14
% 0.37/0.57  # Factors computed   : 0
% 0.37/0.57  # Resolvents computed: 43
% 0.37/0.57  # Tautologies deleted: 1
% 0.37/0.57  # Forward subsumed   : 7
% 0.37/0.57  # Backward subsumed  : 0
% 0.37/0.57  # -------- CPU Time ---------
% 0.37/0.57  # User time          : 0.190 s
% 0.37/0.57  # System time        : 0.020 s
% 0.37/0.57  # Total time         : 0.210 s
%------------------------------------------------------------------------------