%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 04:41:07 EDT 2022

% Result   : Theorem 59.79s 60.01s
% Output   : Refutation 59.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(t32_zfmisc_1,conjecture,
    ! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B),
    input ).

fof(c7,negated_conjecture,
    ~ ! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B),
    inference(assume_negation,status(cth),[t32_zfmisc_1]) ).

fof(c8,negated_conjecture,
    ? [A,B] : union(unordered_pair(singleton(A),singleton(B))) != unordered_pair(A,B),
    inference(fof_nnf,status(thm),[c7]) ).

fof(c9,negated_conjecture,
    ? [X4,X5] : union(unordered_pair(singleton(X4),singleton(X5))) != unordered_pair(X4,X5),
    inference(variable_rename,status(thm),[c8]) ).

fof(c10,negated_conjecture,
    union(unordered_pair(singleton(skolem0001),singleton(skolem0002))) != unordered_pair(skolem0001,skolem0002),
    inference(skolemize,status(esa),[c9]) ).

cnf(c11,negated_conjecture,
    union(unordered_pair(singleton(skolem0001),singleton(skolem0002))) != unordered_pair(skolem0001,skolem0002),
    inference(split_conjunct,status(thm),[c10]) ).

cnf(symmetry,axiom,
    ( X22 != X21
    | X21 = X22 ),
    eq_axiom ).

fof(t41_enumset1,axiom,
    ! [A,B] : unordered_pair(A,B) = set_union2(singleton(A),singleton(B)),
    input ).

fof(c5,axiom,
    ! [X2,X3] : unordered_pair(X2,X3) = set_union2(singleton(X2),singleton(X3)),
    inference(variable_rename,status(thm),[t41_enumset1]) ).

cnf(c6,axiom,
    unordered_pair(X70,X71) = set_union2(singleton(X70),singleton(X71)),
    inference(split_conjunct,status(thm),[c5]) ).

cnf(transitivity,axiom,
    ( X25 != X24
    | X24 != X23
    | X25 = X23 ),
    eq_axiom ).

fof(l52_zfmisc_1,axiom,
    ! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
    input ).

fof(c19,axiom,
    ! [X8,X9] : union(unordered_pair(X8,X9)) = set_union2(X8,X9),
    inference(variable_rename,status(thm),[l52_zfmisc_1]) ).

cnf(c20,axiom,
    union(unordered_pair(X83,X82)) = set_union2(X83,X82),
    inference(split_conjunct,status(thm),[c19]) ).

cnf(c146,plain,
    set_union2(X109,X108) = union(unordered_pair(X109,X108)),
    inference(resolution,status(thm),[c20,symmetry]) ).

cnf(c226,plain,
    ( X983 != set_union2(X984,X985)
    | X983 = union(unordered_pair(X984,X985)) ),
    inference(resolution,status(thm),[c146,transitivity]) ).

cnf(c10699,plain,
    unordered_pair(X3156,X3155) = union(unordered_pair(singleton(X3156),singleton(X3155))),
    inference(resolution,status(thm),[c226,c6]) ).

cnf(c62558,plain,
    union(unordered_pair(singleton(X4226),singleton(X4227))) = unordered_pair(X4226,X4227),
    inference(resolution,status(thm),[c10699,symmetry]) ).

cnf(c96179,plain,
    $false,
    inference(resolution,status(thm),[c62558,c11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n011.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 15:52:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 59.79/60.01  # Version:  1.3
% 59.79/60.01  # SZS status Theorem
% 59.79/60.01  # SZS output start CNFRefutation
% See solution above
% 59.79/60.01  
% 59.79/60.01  # Initial clauses    : 18
% 59.79/60.01  # Processed clauses  : 1284
% 59.79/60.01  # Factors computed   : 0
% 59.79/60.01  # Resolvents computed: 96217
% 59.79/60.01  # Tautologies deleted: 2
% 59.79/60.01  # Forward subsumed   : 1842
% 59.79/60.01  # Backward subsumed  : 22
% 59.79/60.01  # -------- CPU Time ---------
% 59.79/60.01  # User time          : 59.387 s
% 59.79/60.01  # System time        : 0.228 s
% 59.79/60.01  # Total time         : 59.615 s
%------------------------------------------------------------------------------