%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 11:21:18 EDT 2022

% Result   : Unsatisfiable 1.91s 2.08s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c_times_d_is_identity,negated_conjecture,
    ~ product(c,d,identity),
    input ).

cnf(squareness,plain,
    product(X5,X5,identity),
    input ).

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

cnf(associativity2,axiom,
    ( ~ product(X29,X33,X30)
    | ~ product(X33,X32,X34)
    | ~ product(X29,X34,X31)
    | product(X30,X32,X31) ),
    input ).

cnf(c28,plain,
    ( ~ product(X178,X175,X176)
    | ~ product(X175,X177,identity)
    | product(X176,X177,X178) ),
    inference(resolution,status(thm),[associativity2,right_identity]) ).

cnf(c363,plain,
    ( ~ product(X192,X191,X190)
    | product(X190,X191,X192) ),
    inference(resolution,status(thm),[c28,squareness]) ).

cnf(inverse_a_times_inverse_b_is_d,plain,
    product(inverse(a),inverse(b),d),
    input ).

cnf(inverses_have_property,plain,
    ( ~ product(inverse(X45),inverse(X43),X44)
    | product(X45,X44,X43) ),
    input ).

cnf(c48,plain,
    product(a,d,b),
    inference(resolution,status(thm),[inverses_have_property,inverse_a_times_inverse_b_is_d]) ).

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

cnf(associativity1,axiom,
    ( ~ product(X20,X24,X21)
    | ~ product(X24,X23,X25)
    | ~ product(X21,X23,X22)
    | product(X20,X25,X22) ),
    input ).

cnf(c17,plain,
    ( ~ product(X108,X106,identity)
    | ~ product(X106,X109,X107)
    | product(X108,X107,X109) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(c179,plain,
    ( ~ product(X546,a,identity)
    | product(X546,b,d) ),
    inference(resolution,status(thm),[c17,c48]) ).

cnf(c2953,plain,
    product(a,b,d),
    inference(resolution,status(thm),[c179,squareness]) ).

cnf(c2968,plain,
    product(d,b,a),
    inference(resolution,status(thm),[c2953,c363]) ).

cnf(a_times_b_is_c,plain,
    product(a,b,c),
    input ).

cnf(c19,plain,
    ( ~ product(X125,X124,a)
    | ~ product(X124,b,X126)
    | product(X125,X126,c) ),
    inference(resolution,status(thm),[associativity1,a_times_b_is_c]) ).

cnf(c225,plain,
    ( ~ product(X672,b,a)
    | product(X672,identity,c) ),
    inference(resolution,status(thm),[c19,squareness]) ).

cnf(c4939,plain,
    product(d,identity,c),
    inference(resolution,status(thm),[c225,c2968]) ).

cnf(c4952,plain,
    product(c,identity,d),
    inference(resolution,status(thm),[c4939,c363]) ).

cnf(c20,plain,
    ( ~ product(X131,X130,X133)
    | ~ product(X130,X133,X132)
    | product(X131,X132,identity) ),
    inference(resolution,status(thm),[associativity1,squareness]) ).

cnf(c250,plain,
    ( ~ product(X756,identity,X757)
    | product(X756,X757,identity) ),
    inference(resolution,status(thm),[c20,left_identity]) ).

cnf(c6490,plain,
    product(c,d,identity),
    inference(resolution,status(thm),[c250,c4952]) ).

cnf(c6510,plain,
    $false,
    inference(resolution,status(thm),[c6490,prove_c_times_d_is_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 11:28:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.91/2.08  # Version:  1.3
% 1.91/2.08  # SZS status Unsatisfiable
% 1.91/2.08  # SZS output start CNFRefutation
% See solution above
% 1.91/2.08  
% 1.91/2.08  # Initial clauses    : 19
% 1.91/2.08  # Processed clauses  : 297
% 1.91/2.08  # Factors computed   : 4
% 1.91/2.08  # Resolvents computed: 6523
% 1.91/2.08  # Tautologies deleted: 5
% 1.91/2.08  # Forward subsumed   : 481
% 1.91/2.08  # Backward subsumed  : 3
% 1.91/2.08  # -------- CPU Time ---------
% 1.91/2.08  # User time          : 1.728 s
% 1.91/2.08  # System time        : 0.018 s
% 1.91/2.08  # Total time         : 1.746 s
%------------------------------------------------------------------------------