%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 20:39:30 EDT 2022

% Result   : Unsatisfiable 0.61s 0.85s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(a_not_additive_identity,negated_conjecture,
    ~ equalish(a,additive_identity),
    input ).

cnf(some_property,plain,
    ( ~ equalish(X84,additive_identity)
    | product(X84,h(X84,X83),X83) ),
    input ).

cnf(additive_identity2,axiom,
    sum(X2,additive_identity,X2),
    input ).

cnf(commutativity_of_addition,axiom,
    ( ~ sum(X14,X12,X13)
    | sum(X12,X14,X13) ),
    input ).

cnf(c2,plain,
    sum(additive_identity,X18,X18),
    inference(resolution,status(thm),[commutativity_of_addition,additive_identity2]) ).

cnf(addition_is_well_defined,axiom,
    ( ~ sum(X130,X127,X128)
    | ~ sum(X130,X127,X129)
    | equalish(X128,X129) ),
    input ).

cnf(c44,plain,
    ( ~ sum(additive_identity,X131,X132)
    | equalish(X132,X131) ),
    inference(resolution,status(thm),[addition_is_well_defined,c2]) ).

cnf(c50,plain,
    equalish(X139,X139),
    inference(resolution,status(thm),[c44,c2]) ).

cnf(c75,plain,
    product(additive_identity,h(additive_identity,X257),X257),
    inference(resolution,status(thm),[c50,some_property]) ).

cnf(multiplicative_identity1,axiom,
    product(additive_identity,X3,additive_identity),
    input ).

cnf(multiplication_is_well_defined,axiom,
    ( ~ product(X220,X217,X218)
    | ~ product(X220,X217,X219)
    | equalish(X218,X219) ),
    input ).

cnf(c181,plain,
    ( ~ product(additive_identity,X429,X428)
    | equalish(X428,additive_identity) ),
    inference(resolution,status(thm),[multiplication_is_well_defined,multiplicative_identity1]) ).

cnf(c1003,plain,
    equalish(X430,additive_identity),
    inference(resolution,status(thm),[c181,c75]) ).

cnf(c1019,plain,
    $false,
    inference(resolution,status(thm),[c1003,a_not_additive_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n025.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 May 30 19:37:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.61/0.85  # Version:  1.3
% 0.61/0.85  # SZS status Unsatisfiable
% 0.61/0.85  # SZS output start CNFRefutation
% See solution above
% 0.61/0.85  
% 0.61/0.85  # Initial clauses    : 30
% 0.61/0.85  # Processed clauses  : 126
% 0.61/0.85  # Factors computed   : 2
% 0.61/0.85  # Resolvents computed: 1038
% 0.61/0.85  # Tautologies deleted: 1
% 0.61/0.85  # Forward subsumed   : 127
% 0.61/0.85  # Backward subsumed  : 7
% 0.61/0.85  # -------- CPU Time ---------
% 0.61/0.85  # User time          : 0.471 s
% 0.61/0.85  # System time        : 0.023 s
% 0.61/0.85  # Total time         : 0.494 s
%------------------------------------------------------------------------------