%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP038-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 : Sat Jul 16 11:21:27 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c_is_in_subgroup,negated_conjecture,
    ~ subgroup_member(c),
    input ).

cnf(a_is_in_subgroup,plain,
    subgroup_member(a),
    input ).

cnf(b_is_in_subgroup,plain,
    subgroup_member(b),
    input ).

cnf(a_times_inverse_b_is_c,plain,
    product(a,inverse(b),c),
    input ).

cnf(closure_of_product_and_inverse,axiom,
    ( ~ subgroup_member(X37)
    | ~ subgroup_member(X36)
    | ~ product(X37,inverse(X36),X35)
    | subgroup_member(X35) ),
    input ).

cnf(c43,plain,
    ( ~ subgroup_member(a)
    | ~ subgroup_member(b)
    | subgroup_member(c) ),
    inference(resolution,status(thm),[closure_of_product_and_inverse,a_times_inverse_b_is_c]) ).

cnf(c235,plain,
    ( ~ subgroup_member(a)
    | subgroup_member(c) ),
    inference(resolution,status(thm),[c43,b_is_in_subgroup]) ).

cnf(c236,plain,
    subgroup_member(c),
    inference(resolution,status(thm),[c235,a_is_in_subgroup]) ).

cnf(c239,plain,
    $false,
    inference(resolution,status(thm),[c236,prove_c_is_in_subgroup]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP038-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 06:55:10 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.53  # Version:  1.3
% 0.20/0.53  # SZS status Unsatisfiable
% 0.20/0.53  # SZS output start CNFRefutation
% See solution above
% 0.20/0.53  
% 0.20/0.53  # Initial clauses    : 22
% 0.20/0.53  # Processed clauses  : 76
% 0.20/0.53  # Factors computed   : 1
% 0.20/0.53  # Resolvents computed: 236
% 0.20/0.53  # Tautologies deleted: 3
% 0.20/0.53  # Forward subsumed   : 39
% 0.20/0.53  # Backward subsumed  : 2
% 0.20/0.53  # -------- CPU Time ---------
% 0.20/0.53  # User time          : 0.172 s
% 0.20/0.53  # System time        : 0.013 s
% 0.20/0.53  # Total time         : 0.185 s
%------------------------------------------------------------------------------