%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 : Tue Jul 19 04:39:05 EDT 2022

% Result   : Theorem 0.47s 0.68s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_th93,conjecture,
    ! [B] : symmetric_difference(B,B) = empty_set,
    input ).

fof(c6,negated_conjecture,
    ~ ! [B] : symmetric_difference(B,B) = empty_set,
    inference(assume_negation,status(cth),[prove_th93]) ).

fof(c7,negated_conjecture,
    ? [B] : symmetric_difference(B,B) != empty_set,
    inference(fof_nnf,status(thm),[c6]) ).

fof(c8,negated_conjecture,
    ? [X2] : symmetric_difference(X2,X2) != empty_set,
    inference(variable_rename,status(thm),[c7]) ).

fof(c9,negated_conjecture,
    symmetric_difference(skolem0001,skolem0001) != empty_set,
    inference(skolemize,status(esa),[c8]) ).

cnf(c10,negated_conjecture,
    symmetric_difference(skolem0001,skolem0001) != empty_set,
    inference(split_conjunct,status(thm),[c9]) ).

fof(idempotency_of_union,axiom,
    ! [B] : union(B,B) = B,
    input ).

fof(c57,axiom,
    ! [X31] : union(X31,X31) = X31,
    inference(variable_rename,status(thm),[idempotency_of_union]) ).

cnf(c58,axiom,
    union(X39,X39) = X39,
    inference(split_conjunct,status(thm),[c57]) ).

cnf(transitivity,axiom,
    ( X49 != X48
    | X48 != X50
    | X49 = X50 ),
    eq_axiom ).

cnf(c68,plain,
    ( X141 != union(X140,X140)
    | X141 = X140 ),
    inference(resolution,status(thm),[transitivity,c58]) ).

fof(symmetric_difference_defn,axiom,
    ! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
    input ).

fof(c59,axiom,
    ! [X32,X33] : symmetric_difference(X32,X33) = union(difference(X32,X33),difference(X33,X32)),
    inference(variable_rename,status(thm),[symmetric_difference_defn]) ).

cnf(c60,axiom,
    symmetric_difference(X160,X161) = union(difference(X160,X161),difference(X161,X160)),
    inference(split_conjunct,status(thm),[c59]) ).

cnf(c239,plain,
    symmetric_difference(X162,X162) = difference(X162,X162),
    inference(resolution,status(thm),[c60,c68]) ).

fof(self_difference_is_empty_set,axiom,
    ! [B] : difference(B,B) = empty_set,
    input ).

fof(c55,axiom,
    ! [X30] : difference(X30,X30) = empty_set,
    inference(variable_rename,status(thm),[self_difference_is_empty_set]) ).

cnf(c56,axiom,
    difference(X62,X62) = empty_set,
    inference(split_conjunct,status(thm),[c55]) ).

cnf(c76,plain,
    ( X190 != difference(X189,X189)
    | X190 = empty_set ),
    inference(resolution,status(thm),[c56,transitivity]) ).

cnf(c324,plain,
    symmetric_difference(X191,X191) = empty_set,
    inference(resolution,status(thm),[c76,c239]) ).

cnf(c341,plain,
    $false,
    inference(resolution,status(thm),[c324,c10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 06:47:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.47/0.68  # Version:  1.3
% 0.47/0.68  # SZS status Theorem
% 0.47/0.68  # SZS output start CNFRefutation
% See solution above
% 0.47/0.68  
% 0.47/0.68  # Initial clauses    : 29
% 0.47/0.68  # Processed clauses  : 63
% 0.47/0.68  # Factors computed   : 1
% 0.47/0.68  # Resolvents computed: 280
% 0.47/0.68  # Tautologies deleted: 3
% 0.47/0.68  # Forward subsumed   : 50
% 0.47/0.68  # Backward subsumed  : 3
% 0.47/0.68  # -------- CPU Time ---------
% 0.47/0.68  # User time          : 0.297 s
% 0.47/0.68  # System time        : 0.013 s
% 0.47/0.68  # Total time         : 0.310 s
%------------------------------------------------------------------------------