%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% 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 11:21:14 EDT 2022

% Result   : Unsatisfiable 0.39s 0.70s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_there_is_a_right_inverse,negated_conjecture,
    ~ product(a,X3,identity),
    input ).

cnf(left_identity,axiom,
    product(identity,X2,X2),
    input ).

cnf(left_inverse,axiom,
    product(inverse(X4),X4,identity),
    input ).

cnf(associativity1,axiom,
    ( ~ product(X7,X10,X8)
    | ~ product(X10,X5,X9)
    | ~ product(X8,X5,X6)
    | product(X7,X9,X6) ),
    input ).

cnf(c1,plain,
    ( ~ product(X11,X13,identity)
    | ~ product(X13,X12,X14)
    | product(X11,X14,X12) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(c2,plain,
    ( ~ product(X27,inverse(X26),identity)
    | product(X27,identity,X26) ),
    inference(resolution,status(thm),[c1,left_inverse]) ).

cnf(c12,plain,
    product(inverse(inverse(X32)),identity,X32),
    inference(resolution,status(thm),[c2,left_inverse]) ).

cnf(associativity2,axiom,
    ( ~ product(X17,X20,X18)
    | ~ product(X20,X15,X19)
    | ~ product(X17,X19,X16)
    | product(X18,X15,X16) ),
    input ).

cnf(c4,plain,
    ( ~ product(inverse(X39),X41,X38)
    | ~ product(X41,X40,X39)
    | product(X38,X40,identity) ),
    inference(resolution,status(thm),[associativity2,left_inverse]) ).

cnf(c30,plain,
    ( ~ product(identity,X87,inverse(X86))
    | product(X86,X87,identity) ),
    inference(resolution,status(thm),[c4,c12]) ).

cnf(c124,plain,
    product(X92,inverse(X92),identity),
    inference(resolution,status(thm),[c30,left_identity]) ).

cnf(c136,plain,
    $false,
    inference(resolution,status(thm),[c124,prove_there_is_a_right_inverse]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n023.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 : Mon Jun 13 09:45:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/0.70  # Version:  1.3
% 0.39/0.70  # SZS status Unsatisfiable
% 0.39/0.70  # SZS output start CNFRefutation
% See solution above
% 0.39/0.70  
% 0.39/0.70  # Initial clauses    : 5
% 0.39/0.70  # Processed clauses  : 35
% 0.39/0.70  # Factors computed   : 5
% 0.39/0.70  # Resolvents computed: 140
% 0.39/0.70  # Tautologies deleted: 3
% 0.39/0.70  # Forward subsumed   : 29
% 0.39/0.70  # Backward subsumed  : 2
% 0.39/0.70  # -------- CPU Time ---------
% 0.39/0.70  # User time          : 0.272 s
% 0.39/0.70  # System time        : 0.015 s
% 0.39/0.70  # Total time         : 0.287 s
%------------------------------------------------------------------------------