%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP549-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 11:23:30 EDT 2022

% Result   : Unsatisfiable 5.08s 5.31s
% Output   : Refutation 5.08s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    input ).

cnf(symmetry,axiom,
    ( X5 != X4
    | X4 = X5 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X17 != X16
    | X16 != X15
    | X17 = X15 ),
    eq_axiom ).

cnf(multiply,axiom,
    multiply(X18,X19) = divide(X18,divide(identity,X19)),
    input ).

cnf(c16,plain,
    divide(X75,divide(identity,X76)) = multiply(X75,X76),
    inference(resolution,status(thm),[multiply,symmetry]) ).

cnf(c169,plain,
    ( X589 != divide(X590,divide(identity,X591))
    | X589 = multiply(X590,X591) ),
    inference(resolution,status(thm),[c16,transitivity]) ).

cnf(identity,axiom,
    identity = divide(X3,X3),
    input ).

cnf(c3,plain,
    divide(X7,X7) = identity,
    inference(resolution,status(thm),[symmetry,identity]) ).

cnf(c10,plain,
    ( X25 != divide(X26,X26)
    | X25 = identity ),
    inference(resolution,status(thm),[transitivity,c3]) ).

cnf(inverse,axiom,
    inverse(X12) = divide(identity,X12),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c0,plain,
    ( X32 != X30
    | X31 != X33
    | divide(X32,X31) = divide(X30,X33) ),
    eq_axiom ).

cnf(c43,plain,
    ( X112 != X110
    | divide(X112,X111) = divide(X110,X111) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c260,plain,
    divide(inverse(X918),X917) = divide(divide(identity,X918),X917),
    inference(resolution,status(thm),[c43,inverse]) ).

cnf(c15250,plain,
    divide(inverse(X922),divide(identity,X922)) = identity,
    inference(resolution,status(thm),[c260,c10]) ).

cnf(c15501,plain,
    identity = divide(inverse(X923),divide(identity,X923)),
    inference(resolution,status(thm),[c15250,symmetry]) ).

cnf(c15650,plain,
    identity = multiply(inverse(X924),X924),
    inference(resolution,status(thm),[c15501,c169]) ).

cnf(c15662,plain,
    multiply(inverse(X925),X925) = identity,
    inference(resolution,status(thm),[c15650,symmetry]) ).

cnf(c15726,plain,
    ( X959 != identity
    | X959 = multiply(inverse(X960),X960) ),
    inference(resolution,status(thm),[c15650,transitivity]) ).

cnf(c16799,plain,
    multiply(inverse(X1017),X1017) = multiply(inverse(X1016),X1016),
    inference(resolution,status(thm),[c15726,c15662]) ).

cnf(c18002,plain,
    $false,
    inference(resolution,status(thm),[c16799,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP549-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n005.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 : Tue Jun 14 10:11:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 5.08/5.31  # Version:  1.3
% 5.08/5.31  # SZS status Unsatisfiable
% 5.08/5.31  # SZS output start CNFRefutation
% See solution above
% 5.08/5.31  
% 5.08/5.31  # Initial clauses    : 11
% 5.08/5.31  # Processed clauses  : 332
% 5.08/5.31  # Factors computed   : 0
% 5.08/5.31  # Resolvents computed: 18051
% 5.08/5.31  # Tautologies deleted: 1
% 5.08/5.31  # Forward subsumed   : 535
% 5.08/5.31  # Backward subsumed  : 8
% 5.08/5.31  # -------- CPU Time ---------
% 5.08/5.31  # User time          : 4.930 s
% 5.08/5.31  # System time        : 0.039 s
% 5.08/5.31  # Total time         : 4.969 s
%------------------------------------------------------------------------------