%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 : Wed Jul 20 21:15:31 EDT 2022

% Result   : Unsatisfiable 1.65s 1.84s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_5,negated_conjecture,
    less_than(i,m),
    input ).

cnf(anti_symmetry_of_less_than,axiom,
    ( ~ less_than(X9,X8)
    | ~ less_than(X8,X9) ),
    input ).

cnf(c7,plain,
    ~ less_than(m,i),
    inference(resolution,status(thm),[anti_symmetry_of_less_than,clause_5]) ).

cnf(clause_4,negated_conjecture,
    ~ less_than(n,m),
    input ).

cnf(less_than_successor,axiom,
    less_than(X5,successor(X5)),
    input ).

cnf(equal_and_less_than_transitivity1,axiom,
    ( less_than(X39,X40)
    | X41 != X39
    | ~ less_than(X41,X40) ),
    input ).

cnf(c79,plain,
    ( less_than(X62,successor(X63))
    | X63 != X62 ),
    inference(resolution,status(thm),[equal_and_less_than_transitivity1,less_than_successor]) ).

cnf(transitivity_of_less_than,axiom,
    ( less_than(X28,X27)
    | ~ less_than(X28,X26)
    | ~ less_than(X26,X27) ),
    input ).

cnf(c19,plain,
    ( less_than(X32,successor(X33))
    | ~ less_than(X32,X33) ),
    inference(resolution,status(thm),[transitivity_of_less_than,less_than_successor]) ).

cnf(all_related,axiom,
    ( less_than(X35,X34)
    | less_than(X34,X35)
    | X35 = X34 ),
    input ).

cnf(c52,plain,
    ( less_than(X143,X142)
    | X143 = X142
    | less_than(X142,successor(X143)) ),
    inference(resolution,status(thm),[all_related,c19]) ).

cnf(c826,plain,
    ( less_than(X146,X145)
    | less_than(X145,successor(X146)) ),
    inference(resolution,status(thm),[c52,c79]) ).

cnf(c895,plain,
    less_than(m,successor(n)),
    inference(resolution,status(thm),[c826,clause_4]) ).

cnf(clause_8,negated_conjecture,
    less_than(a(m),a(k)),
    input ).

cnf(clause_11,negated_conjecture,
    ( less_than(X59,i)
    | ~ less_than(X59,successor(n))
    | ~ less_than(a(X59),a(k)) ),
    input ).

cnf(c162,plain,
    ( less_than(m,i)
    | ~ less_than(m,successor(n)) ),
    inference(resolution,status(thm),[clause_11,clause_8]) ).

cnf(c3156,plain,
    less_than(m,i),
    inference(resolution,status(thm),[c162,c895]) ).

cnf(c3172,plain,
    $false,
    inference(resolution,status(thm),[c3156,c7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 09:52:24 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 1.65/1.84  # Version:  1.3
% 1.65/1.84  # SZS status Unsatisfiable
% 1.65/1.84  # SZS output start CNFRefutation
% See solution above
% 1.65/1.84  
% 1.65/1.84  # Initial clauses    : 30
% 1.65/1.84  # Processed clauses  : 272
% 1.65/1.84  # Factors computed   : 3
% 1.65/1.84  # Resolvents computed: 3174
% 1.65/1.84  # Tautologies deleted: 3
% 1.65/1.84  # Forward subsumed   : 242
% 1.65/1.84  # Backward subsumed  : 8
% 1.65/1.84  # -------- CPU Time ---------
% 1.65/1.84  # User time          : 1.446 s
% 1.65/1.84  # System time        : 0.017 s
% 1.65/1.84  # Total time         : 1.463 s
%------------------------------------------------------------------------------