%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP029-1 : 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 11:21:23 EDT 2022

% Result   : Unsatisfiable 1.73s 1.92s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_there_is_a_right_identity,negated_conjecture,
    ~ product(not_right_identity(X14),X14,not_right_identity(X14)),
    input ).

cnf(left_inverse,axiom,
    product(inverse(X6),X6,identity),
    input ).

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

cnf(associativity1,axiom,
    ( ~ product(X24,X19,X20)
    | ~ product(X19,X21,X23)
    | ~ product(X20,X21,X22)
    | product(X24,X23,X22) ),
    input ).

cnf(c12,plain,
    ( ~ product(X84,X82,identity)
    | ~ product(X82,X81,X83)
    | product(X84,X83,X81) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(c79,plain,
    ( ~ product(X269,inverse(X270),identity)
    | product(X269,identity,X270) ),
    inference(resolution,status(thm),[c12,left_inverse]) ).

cnf(associativity2,axiom,
    ( ~ product(X39,X34,X35)
    | ~ product(X34,X36,X38)
    | ~ product(X39,X38,X37)
    | product(X35,X36,X37) ),
    input ).

cnf(c22,plain,
    ( ~ product(identity,X109,X111)
    | ~ product(X109,X112,X110)
    | product(X111,X112,X110) ),
    inference(resolution,status(thm),[associativity2,left_identity]) ).

cnf(c132,plain,
    ( ~ product(identity,identity,X126)
    | product(X126,X125,X125) ),
    inference(resolution,status(thm),[c22,left_identity]) ).

cnf(total_function1,axiom,
    product(X5,X4,multiply(X5,X4)),
    input ).

cnf(c11,plain,
    ( ~ product(X73,X72,X70)
    | ~ product(X72,X71,X74)
    | product(X73,X74,multiply(X70,X71)) ),
    inference(resolution,status(thm),[associativity1,total_function1]) ).

cnf(c53,plain,
    ( ~ product(X207,inverse(X208),X206)
    | product(X207,identity,multiply(X206,X208)) ),
    inference(resolution,status(thm),[c11,left_inverse]) ).

cnf(c689,plain,
    product(identity,identity,multiply(inverse(X210),X210)),
    inference(resolution,status(thm),[c53,left_identity]) ).

cnf(c709,plain,
    product(multiply(inverse(X213),X213),X212,X212),
    inference(resolution,status(thm),[c689,c132]) ).

cnf(c23,plain,
    ( ~ product(inverse(X121),X119,X120)
    | ~ product(X119,X122,X121)
    | product(X120,X122,identity) ),
    inference(resolution,status(thm),[associativity2,left_inverse]) ).

cnf(c77,plain,
    ( ~ product(X230,X229,identity)
    | product(X230,multiply(X229,X231),X231) ),
    inference(resolution,status(thm),[c12,total_function1]) ).

cnf(c830,plain,
    product(inverse(X236),multiply(X236,X235),X235),
    inference(resolution,status(thm),[c77,left_inverse]) ).

cnf(c873,plain,
    ( ~ product(multiply(X743,X742),X741,X743)
    | product(X742,X741,identity) ),
    inference(resolution,status(thm),[c830,c23]) ).

cnf(c4753,plain,
    product(X745,inverse(X745),identity),
    inference(resolution,status(thm),[c873,c709]) ).

cnf(c4777,plain,
    product(X750,identity,X750),
    inference(resolution,status(thm),[c4753,c79]) ).

cnf(c4846,plain,
    $false,
    inference(resolution,status(thm),[c4777,prove_there_is_a_right_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n012.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 13:08:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.73/1.92  # Version:  1.3
% 1.73/1.92  # SZS status Unsatisfiable
% 1.73/1.92  # SZS output start CNFRefutation
% See solution above
% 1.73/1.92  
% 1.73/1.92  # Initial clauses    : 14
% 1.73/1.92  # Processed clauses  : 273
% 1.73/1.92  # Factors computed   : 10
% 1.73/1.92  # Resolvents computed: 4847
% 1.73/1.92  # Tautologies deleted: 5
% 1.73/1.92  # Forward subsumed   : 342
% 1.73/1.92  # Backward subsumed  : 9
% 1.73/1.92  # -------- CPU Time ---------
% 1.73/1.92  # User time          : 1.537 s
% 1.73/1.92  # System time        : 0.027 s
% 1.73/1.92  # Total time         : 1.564 s
%------------------------------------------------------------------------------