%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP028-4 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 11:21:23 EDT 2022

% Result   : Unsatisfiable 0.35s 0.54s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_there_is_a_right_identity,negated_conjecture,
    ~ product(not_identity(X6),X6,not_identity(X6)),
    input ).

cnf(right_soln,plain,
    product(X4,right_solution(X4,X5),X5),
    input ).

cnf(left_soln,plain,
    product(left_solution(X2,X3),X2,X3),
    input ).

cnf(associativity1,axiom,
    ( ~ product(X12,X9,X11)
    | ~ product(X9,X7,X8)
    | ~ product(X12,X8,X10)
    | product(X11,X7,X10) ),
    input ).

cnf(c1,plain,
    ( ~ product(left_solution(X38,X39),X42,X41)
    | ~ product(X42,X40,X38)
    | product(X41,X40,X39) ),
    inference(resolution,status(thm),[associativity1,left_soln]) ).

cnf(c19,plain,
    ( ~ product(X49,X48,X49)
    | product(X50,X48,X50) ),
    inference(resolution,status(thm),[c1,left_soln]) ).

cnf(c26,plain,
    product(X52,right_solution(X51,X51),X52),
    inference(resolution,status(thm),[c19,right_soln]) ).

cnf(c28,plain,
    $false,
    inference(resolution,status(thm),[c26,prove_there_is_a_right_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP028-4 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 13 13:37:21 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.35/0.54  # Version:  1.3
% 0.35/0.54  # SZS status Unsatisfiable
% 0.35/0.54  # SZS output start CNFRefutation
% See solution above
% 0.35/0.54  
% 0.35/0.54  # Initial clauses    : 5
% 0.35/0.54  # Processed clauses  : 14
% 0.35/0.54  # Factors computed   : 1
% 0.35/0.54  # Resolvents computed: 35
% 0.35/0.54  # Tautologies deleted: 0
% 0.35/0.54  # Forward subsumed   : 0
% 0.35/0.54  # Backward subsumed  : 0
% 0.35/0.54  # -------- CPU Time ---------
% 0.35/0.54  # User time          : 0.167 s
% 0.35/0.54  # System time        : 0.015 s
% 0.35/0.54  # Total time         : 0.182 s
%------------------------------------------------------------------------------