%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 11:21:25 EDT 2022

% Result   : Unsatisfiable 0.79s 0.97s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(a_is_in_subgroup,plain,
    subgroup_member(a),
    input ).

cnf(right_inverse,axiom,
    product(X12,inverse(X12),identity),
    input ).

cnf(closure_of_product_and_inverse,axiom,
    ( ~ subgroup_member(X96)
    | ~ subgroup_member(X98)
    | ~ product(X96,inverse(X98),X97)
    | subgroup_member(X97) ),
    input ).

cnf(c119,plain,
    ( ~ subgroup_member(X99)
    | subgroup_member(identity) ),
    inference(resolution,status(thm),[closure_of_product_and_inverse,right_inverse]) ).

cnf(c124,plain,
    subgroup_member(identity),
    inference(resolution,status(thm),[c119,a_is_in_subgroup]) ).

cnf(right_identity,axiom,
    product(X4,identity,X4),
    input ).

cnf(left_identity,axiom,
    product(identity,X3,X3),
    input ).

cnf(prove_subgr2,negated_conjecture,
    ( ~ product(j(X100),X100,j(X100))
    | ~ product(X100,j(X100),j(X100))
    | ~ subgroup_member(X100) ),
    input ).

cnf(c130,plain,
    ( ~ product(j(identity),identity,j(identity))
    | ~ subgroup_member(identity) ),
    inference(resolution,status(thm),[prove_subgr2,left_identity]) ).

cnf(c1879,plain,
    ~ subgroup_member(identity),
    inference(resolution,status(thm),[c130,right_identity]) ).

cnf(c1880,plain,
    $false,
    inference(resolution,status(thm),[c1879,c124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Mon Jun 13 06:31:41 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.79/0.97  # Version:  1.3
% 0.79/0.97  # SZS status Unsatisfiable
% 0.79/0.97  # SZS output start CNFRefutation
% See solution above
% 0.79/0.97  
% 0.79/0.97  # Initial clauses    : 22
% 0.79/0.97  # Processed clauses  : 186
% 0.79/0.97  # Factors computed   : 5
% 0.79/0.97  # Resolvents computed: 1876
% 0.79/0.97  # Tautologies deleted: 6
% 0.79/0.97  # Forward subsumed   : 175
% 0.79/0.97  # Backward subsumed  : 6
% 0.79/0.97  # -------- CPU Time ---------
% 0.79/0.97  # User time          : 0.645 s
% 0.79/0.97  # System time        : 0.012 s
% 0.79/0.97  # Total time         : 0.657 s
%------------------------------------------------------------------------------