%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP028-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 11:21:22 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% 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(associativity,axiom,
    ( ~ product(X8,X12,X9)
    | ~ product(X12,X7,X11)
    | ~ product(X8,X11,X10)
    | product(X9,X7,X10) ),
    input ).

cnf(c0,plain,
    ( ~ product(left_solution(X13,X14),X16,X17)
    | ~ product(X16,X15,X13)
    | product(X17,X15,X14) ),
    inference(resolution,status(thm),[associativity,left_soln]) ).

cnf(c3,plain,
    ( ~ product(X23,X25,X23)
    | product(X24,X25,X24) ),
    inference(resolution,status(thm),[c0,left_soln]) ).

cnf(c7,plain,
    product(X27,right_solution(X26,X26),X27),
    inference(resolution,status(thm),[c3,right_soln]) ).

cnf(c9,plain,
    $false,
    inference(resolution,status(thm),[c7,prove_there_is_a_right_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP028-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n024.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  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 11:55:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  # Version:  1.3
% 0.19/0.51  # SZS status Unsatisfiable
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  
% 0.19/0.51  # Initial clauses    : 4
% 0.19/0.51  # Processed clauses  : 8
% 0.19/0.51  # Factors computed   : 1
% 0.19/0.51  # Resolvents computed: 12
% 0.19/0.51  # Tautologies deleted: 0
% 0.19/0.51  # Forward subsumed   : 0
% 0.19/0.51  # Backward subsumed  : 0
% 0.19/0.51  # -------- CPU Time ---------
% 0.19/0.51  # User time          : 0.155 s
% 0.19/0.51  # System time        : 0.014 s
% 0.19/0.51  # Total time         : 0.169 s
%------------------------------------------------------------------------------