%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 17:38:10 EDT 2024

% Result   : Unsatisfiable 39.37s 39.59s
% Output   : Refutation 39.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   19 (  12 unt;   0 nHn;  17 RR)
%            Number of literals    :   30 (   7 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_equals_c,negated_conjecture,
    b != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_equals_c) ).

cnf(symmetry,axiom,
    ( X12 != X11
    | X11 = X12 ),
    theory(equality) ).

cnf(a_plus_c_is_d,plain,
    sum(a,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_plus_c_is_d) ).

cnf(commutativity_of_addition,axiom,
    ( ~ sum(X21,X20,X22)
    | sum(X20,X21,X22) ),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).

cnf(c15,plain,
    sum(c,a,d),
    inference(resolution,[status(thm)],[commutativity_of_addition,a_plus_c_is_d]) ).

cnf(right_inverse,axiom,
    sum(X10,additive_inverse(X10),additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).

cnf(additive_identity2,axiom,
    sum(X4,additive_identity,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).

cnf(associativity_of_addition2,axiom,
    ( ~ sum(X30,X28,X26)
    | ~ sum(X28,X25,X29)
    | ~ sum(X30,X29,X27)
    | sum(X26,X25,X27) ),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).

cnf(c32,plain,
    ( ~ sum(X295,X294,X293)
    | ~ sum(X294,X292,additive_identity)
    | sum(X293,X292,X295) ),
    inference(resolution,[status(thm)],[associativity_of_addition2,additive_identity2]) ).

cnf(c560,plain,
    ( ~ sum(X667,X668,X666)
    | sum(X666,additive_inverse(X668),X667) ),
    inference(resolution,[status(thm)],[c32,right_inverse]) ).

cnf(c2398,plain,
    sum(d,additive_inverse(a),c),
    inference(resolution,[status(thm)],[c560,c15]) ).

cnf(addition_is_well_defined,axiom,
    ( ~ sum(X59,X58,X61)
    | ~ sum(X59,X58,X60)
    | X61 = X60 ),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).

cnf(a_plus_b_is_d,plain,
    sum(a,b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_plus_b_is_d) ).

cnf(c16,plain,
    sum(b,a,d),
    inference(resolution,[status(thm)],[commutativity_of_addition,a_plus_b_is_d]) ).

cnf(c2388,plain,
    sum(d,additive_inverse(a),b),
    inference(resolution,[status(thm)],[c560,c16]) ).

cnf(c2519,plain,
    ( ~ sum(d,additive_inverse(a),X3862)
    | X3862 = b ),
    inference(resolution,[status(thm)],[c2388,addition_is_well_defined]) ).

cnf(c50756,plain,
    c = b,
    inference(resolution,[status(thm)],[c2519,c2398]) ).

cnf(c51005,plain,
    b = c,
    inference(resolution,[status(thm)],[c50756,symmetry]) ).

cnf(c51138,plain,
    $false,
    inference(resolution,[status(thm)],[c51005,prove_b_equals_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed May  8 21:21:38 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 39.37/39.59  % Version:  1.5
% 39.37/39.59  % SZS status Unsatisfiable
% 39.37/39.59  % SZS output start CNFRefutation
% See solution above
% 39.37/39.59  
% 39.37/39.59  % Initial clauses    : 28
% 39.37/39.59  % Processed clauses  : 940
% 39.37/39.59  % Factors computed   : 95
% 39.37/39.59  % Resolvents computed: 51114
% 39.37/39.59  % Tautologies deleted: 41
% 39.37/39.59  % Forward subsumed   : 2844
% 39.37/39.59  % Backward subsumed  : 11
% 39.37/39.59  % -------- CPU Time ---------
% 39.37/39.59  % User time          : 39.147 s
% 39.37/39.59  % System time        : 0.086 s
% 39.37/39.59  % Total time         : 39.233 s
%------------------------------------------------------------------------------