%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : RNG038-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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  : 300s
% DateTime : Thu May  9 17:38:15 EDT 2024

% Result   : Unsatisfiable 0.68s 0.87s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a_not_additive_identity,negated_conjecture,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).

cnf(some_property,plain,
    ( ~ equalish(X83,additive_identity)
    | product(X83,h(X83,X84),X84) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).

cnf(additive_identity2,axiom,
    sum(X2,additive_identity,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).

cnf(addition_is_well_defined,axiom,
    ( ~ sum(X127,X128,X129)
    | ~ sum(X127,X128,X130)
    | equalish(X129,X130) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).

cnf(c44,plain,
    ( ~ sum(X131,X133,X132)
    | equalish(X132,X132) ),
    inference(factor,[status(thm)],[addition_is_well_defined]) ).

cnf(c51,plain,
    equalish(X140,X140),
    inference(resolution,[status(thm)],[c44,additive_identity2]) ).

cnf(c67,plain,
    product(additive_identity,h(additive_identity,X271),X271),
    inference(resolution,[status(thm)],[c51,some_property]) ).

cnf(multiplicative_identity1,axiom,
    product(additive_identity,X3,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).

cnf(multiplication_is_well_defined,axiom,
    ( ~ product(X220,X221,X222)
    | ~ product(X220,X221,X223)
    | equalish(X222,X223) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).

cnf(c142,plain,
    ( ~ product(additive_identity,X473,X474)
    | equalish(X474,additive_identity) ),
    inference(resolution,[status(thm)],[multiplication_is_well_defined,multiplicative_identity1]) ).

cnf(c1107,plain,
    equalish(X475,additive_identity),
    inference(resolution,[status(thm)],[c142,c67]) ).

cnf(c1127,plain,
    $false,
    inference(resolution,[status(thm)],[c1107,a_not_additive_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG038-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n023.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  : 300
% 0.13/0.34  % DateTime : Wed May  8 21:30:08 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.68/0.87  % Version:  1.5
% 0.68/0.87  % SZS status Unsatisfiable
% 0.68/0.87  % SZS output start CNFRefutation
% See solution above
% 0.68/0.87  
% 0.68/0.87  % Initial clauses    : 30
% 0.68/0.87  % Processed clauses  : 131
% 0.68/0.87  % Factors computed   : 41
% 0.68/0.87  % Resolvents computed: 1102
% 0.68/0.87  % Tautologies deleted: 14
% 0.68/0.87  % Forward subsumed   : 134
% 0.68/0.87  % Backward subsumed  : 8
% 0.68/0.87  % -------- CPU Time ---------
% 0.68/0.87  % User time          : 0.519 s
% 0.68/0.87  % System time        : 0.004 s
% 0.68/0.87  % Total time         : 0.523 s
%------------------------------------------------------------------------------