%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD055-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 : Sat Jul 16 02:24:59 EDT 2022

% Result   : Unsatisfiable 233.61s 233.87s
% Output   : Refutation 233.61s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_less_or_equal_6,negated_conjecture,
    ~ less_or_equal(a,c),
    input ).

cnf(less_or_equal_4,negated_conjecture,
    less_or_equal(a,b),
    input ).

cnf(transitivity_of_order_relation,axiom,
    ( less_or_equal(X68,X66)
    | ~ less_or_equal(X68,X67)
    | ~ less_or_equal(X67,X66) ),
    input ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    input ).

cnf(totality_of_order_relation,axiom,
    ( less_or_equal(X71,X70)
    | less_or_equal(X70,X71)
    | ~ defined(X71)
    | ~ defined(X70) ),
    input ).

cnf(c785,plain,
    ( less_or_equal(X423,additive_identity)
    | less_or_equal(additive_identity,X423)
    | ~ defined(X423) ),
    inference(resolution,status(thm),[totality_of_order_relation,well_definedness_of_additive_identity]) ).

cnf(c119522,plain,
    less_or_equal(additive_identity,additive_identity),
    inference(resolution,status(thm),[c785,well_definedness_of_additive_identity]) ).

cnf(b_is_defined,plain,
    defined(b),
    input ).

cnf(existence_of_identity_addition,axiom,
    ( sum(additive_identity,X15,X15)
    | ~ defined(X15) ),
    input ).

cnf(c21,plain,
    sum(additive_identity,b,b),
    inference(resolution,status(thm),[existence_of_identity_addition,b_is_defined]) ).

cnf(sum_5,negated_conjecture,
    sum(additive_identity,b,c),
    input ).

cnf(compatibility_of_order_relation_and_addition,axiom,
    ( less_or_equal(X76,X72)
    | ~ less_or_equal(X73,X75)
    | ~ sum(X73,X74,X76)
    | ~ sum(X75,X74,X72) ),
    input ).

cnf(c834,plain,
    ( less_or_equal(X642,c)
    | ~ less_or_equal(X643,additive_identity)
    | ~ sum(X643,b,X642) ),
    inference(resolution,status(thm),[compatibility_of_order_relation_and_addition,sum_5]) ).

cnf(c580922,plain,
    ( less_or_equal(b,c)
    | ~ less_or_equal(additive_identity,additive_identity) ),
    inference(resolution,status(thm),[c834,c21]) ).

cnf(c580930,plain,
    less_or_equal(b,c),
    inference(resolution,status(thm),[c580922,c119522]) ).

cnf(c580934,plain,
    ( less_or_equal(X648,c)
    | ~ less_or_equal(X648,b) ),
    inference(resolution,status(thm),[c580930,transitivity_of_order_relation]) ).

cnf(c581022,plain,
    less_or_equal(a,c),
    inference(resolution,status(thm),[c580934,less_or_equal_4]) ).

cnf(c581031,plain,
    $false,
    inference(resolution,status(thm),[c581022,not_less_or_equal_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD055-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n017.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 : Mon Jun  6 10:18:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 233.61/233.87  # Version:  1.3
% 233.61/233.87  # SZS status Unsatisfiable
% 233.61/233.87  # SZS output start CNFRefutation
% See solution above
% 233.61/233.87  
% 233.61/233.87  # Initial clauses    : 32
% 233.61/233.87  # Processed clauses  : 2753
% 233.61/233.87  # Factors computed   : 10
% 233.61/233.87  # Resolvents computed: 581022
% 233.61/233.87  # Tautologies deleted: 6
% 233.61/233.87  # Forward subsumed   : 112
% 233.61/233.87  # Backward subsumed  : 3
% 233.61/233.87  # -------- CPU Time ---------
% 233.61/233.87  # User time          : 232.739 s
% 233.61/233.87  # System time        : 0.689 s
% 233.61/233.87  # Total time         : 233.428 s
%------------------------------------------------------------------------------