%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 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 : Tue Jul 19 04:34:51 EDT 2022

% Result   : Unsatisfiable 0.50s 0.72s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_symmetry1,negated_conjecture,
    ( set_equal(a,b)
    | set_equal(b,a) ),
    input ).

cnf(element_substitution2,axiom,
    ( ~ set_equal(X6,X5)
    | ~ element(X7,X5)
    | element(X7,X6) ),
    input ).

cnf(clause_3,axiom,
    ( element(f(X9,X8),X9)
    | element(f(X9,X8),X8)
    | set_equal(X9,X8) ),
    input ).

cnf(c3,plain,
    ( element(f(X31,X33),X33)
    | set_equal(X31,X33)
    | ~ set_equal(X32,X31)
    | element(f(X31,X33),X32) ),
    inference(resolution,status(thm),[clause_3,element_substitution2]) ).

cnf(c27,plain,
    ( element(f(b,X52),X52)
    | set_equal(b,X52)
    | element(f(b,X52),a)
    | set_equal(b,a) ),
    inference(resolution,status(thm),[c3,prove_symmetry1]) ).

cnf(c73,plain,
    ( element(f(b,a),a)
    | set_equal(b,a) ),
    inference(factor,status(thm),[c27]) ).

cnf(clause_4,axiom,
    ( ~ element(f(X18,X17),X17)
    | ~ element(f(X18,X17),X18)
    | set_equal(X18,X17) ),
    input ).

cnf(element_substitution1,axiom,
    ( ~ set_equal(X3,X2)
    | ~ element(X4,X3)
    | element(X4,X2) ),
    input ).

cnf(c90,plain,
    ( set_equal(b,a)
    | ~ set_equal(a,X72)
    | element(f(b,a),X72) ),
    inference(resolution,status(thm),[c73,element_substitution1]) ).

cnf(c179,plain,
    ( set_equal(b,a)
    | element(f(b,a),b) ),
    inference(resolution,status(thm),[c90,prove_symmetry1]) ).

cnf(c213,plain,
    ( set_equal(b,a)
    | ~ element(f(b,a),a) ),
    inference(resolution,status(thm),[c179,clause_4]) ).

cnf(c218,plain,
    set_equal(b,a),
    inference(resolution,status(thm),[c213,c73]) ).

cnf(prove_symmetry2,negated_conjecture,
    ( ~ set_equal(b,a)
    | ~ set_equal(a,b) ),
    input ).

cnf(c29,plain,
    ( element(f(a,X62),X62)
    | set_equal(a,X62)
    | element(f(a,X62),b)
    | set_equal(a,b) ),
    inference(resolution,status(thm),[c3,prove_symmetry1]) ).

cnf(c121,plain,
    ( element(f(a,b),b)
    | set_equal(a,b) ),
    inference(factor,status(thm),[c29]) ).

cnf(c142,plain,
    ( element(f(a,b),b)
    | ~ set_equal(b,a) ),
    inference(resolution,status(thm),[c121,prove_symmetry2]) ).

cnf(c248,plain,
    element(f(a,b),b),
    inference(resolution,status(thm),[c218,c142]) ).

cnf(c252,plain,
    ( ~ set_equal(b,X76)
    | element(f(a,b),X76) ),
    inference(resolution,status(thm),[c248,element_substitution1]) ).

cnf(c268,plain,
    element(f(a,b),a),
    inference(resolution,status(thm),[c252,c218]) ).

cnf(c296,plain,
    ( ~ element(f(a,b),b)
    | set_equal(a,b) ),
    inference(resolution,status(thm),[c268,clause_4]) ).

cnf(c372,plain,
    set_equal(a,b),
    inference(resolution,status(thm),[c296,c248]) ).

cnf(c381,plain,
    ~ set_equal(b,a),
    inference(resolution,status(thm),[c372,prove_symmetry2]) ).

cnf(c390,plain,
    $false,
    inference(resolution,status(thm),[c381,c218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n013.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 00:36:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.50/0.72  # Version:  1.3
% 0.50/0.72  # SZS status Unsatisfiable
% 0.50/0.72  # SZS output start CNFRefutation
% See solution above
% 0.50/0.72  
% 0.50/0.72  # Initial clauses    : 6
% 0.50/0.72  # Processed clauses  : 43
% 0.50/0.72  # Factors computed   : 36
% 0.50/0.72  # Resolvents computed: 355
% 0.50/0.72  # Tautologies deleted: 4
% 0.50/0.72  # Forward subsumed   : 50
% 0.50/0.72  # Backward subsumed  : 21
% 0.50/0.72  # -------- CPU Time ---------
% 0.50/0.72  # User time          : 0.345 s
% 0.50/0.72  # System time        : 0.023 s
% 0.50/0.72  # Total time         : 0.368 s
%------------------------------------------------------------------------------