%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 17:16:56 EDT 2024

% Result   : Unsatisfiable 69.12s 69.35s
% Output   : Refutation 69.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  14 RR)
%            Number of literals    :   26 (  25 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_g_equals_h,negated_conjecture,
    g != h,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).

cnf(symmetry,axiom,
    ( X12 != X13
    | X13 = X12 ),
    theory(equality) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(cancellation_for_compose2,plain,
    ( compose(b,X38) != X39
    | compose(b,X40) != X39
    | X38 = X40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).

cnf(c67,plain,
    ( compose(b,X105) != compose(b,X104)
    | X105 = X104 ),
    inference(resolution,[status(thm)],[cancellation_for_compose2,reflexivity]) ).

cnf(associativity_of_compose,axiom,
    compose(X30,compose(X31,X32)) = compose(compose(X30,X31),X32),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).

cnf(cancellation_for_compose1,plain,
    ( compose(a,X35) != X36
    | compose(a,X37) != X36
    | X35 = X37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).

cnf(c56,plain,
    ( compose(a,X90) != compose(compose(a,X92),X91)
    | X90 = compose(X92,X91) ),
    inference(resolution,[status(thm)],[cancellation_for_compose1,associativity_of_compose]) ).

cnf(ab_h_equals_ab_g,plain,
    compose(compose(a,b),h) = compose(compose(a,b),g),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).

cnf(transitivity,axiom,
    ( X42 != X43
    | X43 != X44
    | X42 = X44 ),
    theory(equality) ).

cnf(c106,plain,
    ( X150 != compose(compose(a,b),h)
    | X150 = compose(compose(a,b),g) ),
    inference(resolution,[status(thm)],[transitivity,ab_h_equals_ab_g]) ).

cnf(c985,plain,
    compose(a,compose(b,h)) = compose(compose(a,b),g),
    inference(resolution,[status(thm)],[c106,associativity_of_compose]) ).

cnf(c46749,plain,
    compose(b,h) = compose(b,g),
    inference(resolution,[status(thm)],[c985,c56]) ).

cnf(c66361,plain,
    h = g,
    inference(resolution,[status(thm)],[c46749,c67]) ).

cnf(c66430,plain,
    g = h,
    inference(resolution,[status(thm)],[c66361,symmetry]) ).

cnf(c66577,plain,
    $false,
    inference(resolution,[status(thm)],[c66430,prove_g_equals_h]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed May  8 20:59:53 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 69.12/69.35  % Version:  1.5
% 69.12/69.35  % SZS status Unsatisfiable
% 69.12/69.35  % SZS output start CNFRefutation
% See solution above
% 69.12/69.35  
% 69.12/69.35  % Initial clauses    : 25
% 69.12/69.35  % Processed clauses  : 1877
% 69.12/69.35  % Factors computed   : 20
% 69.12/69.35  % Resolvents computed: 66589
% 69.12/69.35  % Tautologies deleted: 3
% 69.12/69.35  % Forward subsumed   : 3209
% 69.12/69.35  % Backward subsumed  : 18
% 69.12/69.35  % -------- CPU Time ---------
% 69.12/69.35  % User time          : 68.839 s
% 69.12/69.35  % System time        : 0.169 s
% 69.12/69.35  % Total time         : 69.008 s
%------------------------------------------------------------------------------