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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : FLD023-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 17:20:17 EDT 2024

% Result   : Unsatisfiable 113.62s 113.78s
% Output   : Refutation 113.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   25 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_sum_4,negated_conjecture,
    ~ sum(b,additive_inverse(a),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).

cnf(commutativity_addition,axiom,
    ( sum(X20,X18,X19)
    | ~ sum(X18,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(a_is_defined,plain,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

cnf(existence_of_inverse_addition,axiom,
    ( sum(additive_inverse(X17),X17,additive_identity)
    | ~ defined(X17) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

cnf(c61,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(resolution,[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).

cnf(sum_3,negated_conjecture,
    sum(additive_identity,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).

cnf(c65,plain,
    sum(a,additive_identity,b),
    inference(resolution,[status(thm)],[commutativity_addition,sum_3]) ).

cnf(associativity_addition_1,axiom,
    ( sum(X7,X8,X6)
    | ~ sum(X7,X5,X3)
    | ~ sum(X5,X4,X8)
    | ~ sum(X3,X4,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

cnf(existence_of_identity_addition,axiom,
    ( sum(additive_identity,X15,X15)
    | ~ defined(X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(c28,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(resolution,[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).

cnf(c35,plain,
    ( sum(X132,X131,additive_identity)
    | ~ sum(X132,X133,additive_identity)
    | ~ sum(X133,additive_identity,X131) ),
    inference(resolution,[status(thm)],[c28,associativity_addition_1]) ).

cnf(c2749,plain,
    ( sum(X593,b,additive_identity)
    | ~ sum(X593,a,additive_identity) ),
    inference(resolution,[status(thm)],[c35,c65]) ).

cnf(c278352,plain,
    sum(additive_inverse(a),b,additive_identity),
    inference(resolution,[status(thm)],[c2749,c61]) ).

cnf(c278360,plain,
    sum(b,additive_inverse(a),additive_identity),
    inference(resolution,[status(thm)],[c278352,commutativity_addition]) ).

cnf(c278368,plain,
    $false,
    inference(resolution,[status(thm)],[c278360,not_sum_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD023-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n010.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 23:57:08 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 113.62/113.78  % Version:  1.5
% 113.62/113.78  % SZS status Unsatisfiable
% 113.62/113.78  % SZS output start CNFRefutation
% See solution above
% 113.62/113.78  
% 113.62/113.78  % Initial clauses    : 30
% 113.62/113.78  % Processed clauses  : 2085
% 113.62/113.78  % Factors computed   : 84
% 113.62/113.78  % Resolvents computed: 278323
% 113.62/113.78  % Tautologies deleted: 38
% 113.62/113.78  % Forward subsumed   : 229
% 113.62/113.78  % Backward subsumed  : 2
% 113.62/113.78  % -------- CPU Time ---------
% 113.62/113.78  % User time          : 113.043 s
% 113.62/113.78  % System time        : 0.395 s
% 113.62/113.78  % Total time         : 113.438 s
%------------------------------------------------------------------------------