%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : Mon Jul 18 13:34:00 EDT 2022

% Result   : Unsatisfiable 3.25s 3.46s
% Output   : Refutation 3.25s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_a_contradiction,negated_conjecture,
    ~ equalish(successor(X3),n0),
    input ).

cnf(plus_substitution,axiom,
    ( ~ equalish(add(X57,X55),add(X56,X55))
    | equalish(X57,X56) ),
    input ).

cnf(transitivity,axiom,
    ( ~ equalish(X31,X33)
    | ~ equalish(X33,X32)
    | equalish(X31,X32) ),
    input ).

cnf(symmetry,axiom,
    ( ~ equalish(X5,X6)
    | equalish(X6,X5) ),
    input ).

cnf(commutativity_of_plus,axiom,
    equalish(add(X18,X17),add(X17,X18)),
    input ).

cnf(adding_zero,axiom,
    equalish(add(X4,n0),X4),
    input ).

cnf(c19,plain,
    ( ~ equalish(X52,add(X53,n0))
    | equalish(X52,X53) ),
    inference(resolution,status(thm),[transitivity,adding_zero]) ).

cnf(c52,plain,
    equalish(add(n0,X61),X61),
    inference(resolution,status(thm),[c19,commutativity_of_plus]) ).

cnf(c59,plain,
    equalish(X66,add(n0,X66)),
    inference(resolution,status(thm),[c52,symmetry]) ).

cnf(c65,plain,
    ( ~ equalish(X94,X95)
    | equalish(X94,add(n0,X95)) ),
    inference(resolution,status(thm),[c59,transitivity]) ).

cnf(impossible_a_is_less_than_itself,plain,
    less(a,a),
    input ).

cnf(less_lemma,axiom,
    ( ~ less(X48,X47)
    | equalish(add(successor(predecessor_of_1st_minus_2nd(X47,X48)),X48),X47) ),
    input ).

cnf(c41,plain,
    equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),a),
    inference(resolution,status(thm),[less_lemma,impossible_a_is_less_than_itself]) ).

cnf(c351,plain,
    equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),add(n0,a)),
    inference(resolution,status(thm),[c41,c65]) ).

cnf(c6278,plain,
    equalish(successor(predecessor_of_1st_minus_2nd(a,a)),n0),
    inference(resolution,status(thm),[c351,plus_substitution]) ).

cnf(c6289,plain,
    $false,
    inference(resolution,status(thm),[c6278,prove_a_contradiction]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.05/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jul  6 08:21:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 3.25/3.46  # Version:  1.3
% 3.25/3.46  # SZS status Unsatisfiable
% 3.25/3.46  # SZS output start CNFRefutation
% See solution above
% 3.25/3.46  
% 3.25/3.46  # Initial clauses    : 16
% 3.25/3.46  # Processed clauses  : 410
% 3.25/3.46  # Factors computed   : 0
% 3.25/3.46  # Resolvents computed: 6293
% 3.25/3.46  # Tautologies deleted: 2
% 3.25/3.46  # Forward subsumed   : 598
% 3.25/3.46  # Backward subsumed  : 11
% 3.25/3.46  # -------- CPU Time ---------
% 3.25/3.46  # User time          : 3.079 s
% 3.25/3.46  # System time        : 0.024 s
% 3.25/3.46  # Total time         : 3.103 s
%------------------------------------------------------------------------------