%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 11:21:16 EDT 2022

% Result   : Unsatisfiable 2.06s 2.25s
% Output   : Refutation 2.06s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_multiply_a_is_identity,negated_conjecture,
    ~ product(b,a,identity),
    input ).

cnf(left_inverse,axiom,
    product(inverse(X5),X5,identity),
    input ).

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

cnf(associativity2,axiom,
    ( ~ product(X37,X38,X35)
    | ~ product(X38,X36,X33)
    | ~ product(X37,X33,X34)
    | product(X35,X36,X34) ),
    input ).

cnf(c32,plain,
    ( ~ product(X146,X144,X147)
    | ~ product(X144,X145,identity)
    | product(X147,X145,X146) ),
    inference(resolution,status(thm),[associativity2,right_identity]) ).

cnf(c294,plain,
    ( ~ product(X327,inverse(X329),X328)
    | product(X328,X329,X327) ),
    inference(resolution,status(thm),[c32,left_inverse]) ).

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

cnf(c291,plain,
    ( ~ product(X290,identity,X291)
    | product(X291,identity,X290) ),
    inference(resolution,status(thm),[c32,left_identity]) ).

cnf(c30,plain,
    ( ~ product(identity,X131,X134)
    | ~ product(X131,X132,X133)
    | product(X134,X132,X133) ),
    inference(resolution,status(thm),[associativity2,left_identity]) ).

cnf(c255,plain,
    ( ~ product(identity,X228,X229)
    | product(X229,identity,X228) ),
    inference(resolution,status(thm),[c30,right_identity]) ).

cnf(a_multiply_b_is_identity,plain,
    product(a,b,identity),
    input ).

cnf(c292,plain,
    ( ~ product(X315,a,X316)
    | product(X316,b,X315) ),
    inference(resolution,status(thm),[c32,a_multiply_b_is_identity]) ).

cnf(c1752,plain,
    product(identity,b,inverse(a)),
    inference(resolution,status(thm),[c292,left_inverse]) ).

cnf(c1786,plain,
    product(inverse(a),identity,b),
    inference(resolution,status(thm),[c1752,c255]) ).

cnf(c1914,plain,
    product(b,identity,inverse(a)),
    inference(resolution,status(thm),[c1786,c291]) ).

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

cnf(associativity1,axiom,
    ( ~ product(X28,X29,X26)
    | ~ product(X29,X27,X24)
    | ~ product(X26,X27,X25)
    | product(X28,X24,X25) ),
    input ).

cnf(c17,plain,
    ( ~ product(X80,X78,X79)
    | ~ product(X78,inverse(X79),X77)
    | product(X80,X77,identity) ),
    inference(resolution,status(thm),[associativity1,right_inverse]) ).

cnf(c109,plain,
    ( ~ product(X331,identity,X330)
    | product(X331,inverse(X330),identity) ),
    inference(resolution,status(thm),[c17,left_identity]) ).

cnf(c1989,plain,
    product(b,inverse(inverse(a)),identity),
    inference(resolution,status(thm),[c109,c1914]) ).

cnf(c6315,plain,
    product(identity,inverse(a),b),
    inference(resolution,status(thm),[c1989,c294]) ).

cnf(c6336,plain,
    product(b,a,identity),
    inference(resolution,status(thm),[c6315,c294]) ).

cnf(c6457,plain,
    $false,
    inference(resolution,status(thm),[c6336,prove_b_multiply_a_is_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 10:39:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.06/2.25  # Version:  1.3
% 2.06/2.25  # SZS status Unsatisfiable
% 2.06/2.25  # SZS output start CNFRefutation
% See solution above
% 2.06/2.25  
% 2.06/2.25  # Initial clauses    : 16
% 2.06/2.25  # Processed clauses  : 303
% 2.06/2.25  # Factors computed   : 2
% 2.06/2.25  # Resolvents computed: 6469
% 2.06/2.25  # Tautologies deleted: 6
% 2.06/2.25  # Forward subsumed   : 484
% 2.06/2.25  # Backward subsumed  : 6
% 2.06/2.25  # -------- CPU Time ---------
% 2.06/2.25  # User time          : 1.884 s
% 2.06/2.25  # System time        : 0.025 s
% 2.06/2.25  # Total time         : 1.909 s
%------------------------------------------------------------------------------