%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP010-4 : 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 11:21:16 EDT 2022

% Result   : Unsatisfiable 132.60s 132.79s
% Output   : Refutation 132.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_times_c_is_e,negated_conjecture,
    multiply(b,c) != identity,
    input ).

cnf(left_inverse,axiom,
    multiply(inverse(X12),X12) = identity,
    input ).

cnf(transitivity,axiom,
    ( X15 != X14
    | X14 != X16
    | X15 = X16 ),
    eq_axiom ).

cnf(c14,plain,
    ( X51 != multiply(inverse(X52),X52)
    | X51 = identity ),
    inference(resolution,status(thm),[transitivity,left_inverse]) ).

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

cnf(c0,plain,
    ( X23 != X24
    | X25 != X22
    | multiply(X23,X25) = multiply(X24,X22) ),
    eq_axiom ).

cnf(c30,plain,
    ( X61 != X63
    | multiply(X61,X62) = multiply(X63,X62) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

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

cnf(c_times_b_is_e,plain,
    multiply(c,b) = identity,
    input ).

cnf(c7,plain,
    identity = multiply(c,b),
    inference(resolution,status(thm),[c_times_b_is_e,symmetry]) ).

cnf(c26,plain,
    ( X75 != X76
    | multiply(X75,identity) = multiply(X76,multiply(c,b)) ),
    inference(resolution,status(thm),[c0,c7]) ).

cnf(c182,plain,
    multiply(X295,identity) = multiply(X295,multiply(c,b)),
    inference(resolution,status(thm),[c26,reflexivity]) ).

cnf(associativity,axiom,
    multiply(multiply(X9,X8),X10) = multiply(X9,multiply(X8,X10)),
    input ).

cnf(c15,plain,
    ( X54 != multiply(multiply(X55,X53),X56)
    | X54 = multiply(X55,multiply(X53,X56)) ),
    inference(resolution,status(thm),[transitivity,associativity]) ).

cnf(left_identity,axiom,
    multiply(identity,X3) = X3,
    input ).

cnf(c11,plain,
    ( X27 != multiply(identity,X28)
    | X27 = X28 ),
    inference(resolution,status(thm),[transitivity,left_identity]) ).

cnf(c131,plain,
    multiply(multiply(inverse(X257),X257),X256) = multiply(identity,X256),
    inference(resolution,status(thm),[c30,left_inverse]) ).

cnf(c1638,plain,
    multiply(multiply(inverse(X258),X258),X259) = X259,
    inference(resolution,status(thm),[c131,c11]) ).

cnf(c1646,plain,
    X260 = multiply(multiply(inverse(X261),X261),X260),
    inference(resolution,status(thm),[c1638,symmetry]) ).

cnf(c1683,plain,
    X265 = multiply(inverse(X264),multiply(X264,X265)),
    inference(resolution,status(thm),[c1646,c15]) ).

cnf(c1694,plain,
    multiply(inverse(X270),multiply(X270,X269)) = X269,
    inference(resolution,status(thm),[c1683,symmetry]) ).

cnf(c1747,plain,
    ( X567 != multiply(inverse(X568),multiply(X568,X566))
    | X567 = X566 ),
    inference(resolution,status(thm),[c1694,transitivity]) ).

cnf(c5590,plain,
    multiply(inverse(c),identity) = b,
    inference(resolution,status(thm),[c1747,c182]) ).

cnf(c5740,plain,
    ( X815 != multiply(inverse(c),identity)
    | X815 = b ),
    inference(resolution,status(thm),[c5590,transitivity]) ).

cnf(c6,plain,
    identity = multiply(inverse(X13),X13),
    inference(resolution,status(thm),[left_inverse,symmetry]) ).

cnf(c27,plain,
    ( X80 != X81
    | multiply(X80,identity) = multiply(X81,multiply(inverse(X79),X79)) ),
    inference(resolution,status(thm),[c0,c6]) ).

cnf(c221,plain,
    multiply(X299,identity) = multiply(X299,multiply(inverse(X298),X298)),
    inference(resolution,status(thm),[c27,reflexivity]) ).

cnf(c5557,plain,
    multiply(inverse(inverse(X579)),identity) = X579,
    inference(resolution,status(thm),[c1747,c221]) ).

cnf(c5660,plain,
    ( X803 != multiply(inverse(inverse(X802)),identity)
    | X803 = X802 ),
    inference(resolution,status(thm),[c5557,transitivity]) ).

cnf(c2,plain,
    X7 = multiply(identity,X7),
    inference(resolution,status(thm),[symmetry,left_identity]) ).

cnf(c31,plain,
    ( X98 != X99
    | multiply(X98,X97) = multiply(X99,multiply(identity,X97)) ),
    inference(resolution,status(thm),[c0,c2]) ).

cnf(c385,plain,
    multiply(X135,X134) = multiply(X135,multiply(identity,X134)),
    inference(resolution,status(thm),[c31,reflexivity]) ).

cnf(c5,plain,
    multiply(X34,multiply(X33,X35)) = multiply(multiply(X34,X33),X35),
    inference(resolution,status(thm),[associativity,symmetry]) ).

cnf(c50,plain,
    ( X165 != multiply(X166,multiply(X163,X164))
    | X165 = multiply(multiply(X166,X163),X164) ),
    inference(resolution,status(thm),[c5,transitivity]) ).

cnf(c768,plain,
    multiply(X173,X174) = multiply(multiply(X173,identity),X174),
    inference(resolution,status(thm),[c50,c385]) ).

cnf(c807,plain,
    multiply(multiply(X183,identity),X182) = multiply(X183,X182),
    inference(resolution,status(thm),[c768,symmetry]) ).

cnf(c912,plain,
    ( X1620 != multiply(multiply(X1619,identity),X1618)
    | X1620 = multiply(X1619,X1618) ),
    inference(resolution,status(thm),[c807,transitivity]) ).

cnf(c5646,plain,
    X593 = multiply(inverse(inverse(X593)),identity),
    inference(resolution,status(thm),[c5557,symmetry]) ).

cnf(c5773,plain,
    multiply(X3751,X3750) = multiply(multiply(inverse(inverse(X3751)),identity),X3750),
    inference(resolution,status(thm),[c5646,c30]) ).

cnf(c100744,plain,
    multiply(X3768,X3767) = multiply(inverse(inverse(X3768)),X3767),
    inference(resolution,status(thm),[c5773,c912]) ).

cnf(c101497,plain,
    multiply(X3769,identity) = X3769,
    inference(resolution,status(thm),[c100744,c5660]) ).

cnf(c101673,plain,
    X3771 = multiply(X3771,identity),
    inference(resolution,status(thm),[c101497,symmetry]) ).

cnf(c101761,plain,
    inverse(c) = b,
    inference(resolution,status(thm),[c101673,c5740]) ).

cnf(c102112,plain,
    b = inverse(c),
    inference(resolution,status(thm),[c101761,symmetry]) ).

cnf(c102343,plain,
    multiply(b,X4325) = multiply(inverse(c),X4325),
    inference(resolution,status(thm),[c102112,c30]) ).

cnf(c133608,plain,
    multiply(b,c) = identity,
    inference(resolution,status(thm),[c102343,c14]) ).

cnf(c133705,plain,
    $false,
    inference(resolution,status(thm),[c133608,prove_b_times_c_is_e]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n012.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 06:33:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 132.60/132.79  # Version:  1.3
% 132.60/132.79  # SZS status Unsatisfiable
% 132.60/132.79  # SZS output start CNFRefutation
% See solution above
% 132.60/132.79  
% 132.60/132.79  # Initial clauses    : 10
% 132.60/132.79  # Processed clauses  : 1553
% 132.60/132.79  # Factors computed   : 0
% 132.60/132.79  # Resolvents computed: 133775
% 132.60/132.79  # Tautologies deleted: 1
% 132.60/132.79  # Forward subsumed   : 2799
% 132.60/132.79  # Backward subsumed  : 58
% 132.60/132.79  # -------- CPU Time ---------
% 132.60/132.79  # User time          : 132.112 s
% 132.60/132.79  # System time        : 0.317 s
% 132.60/132.79  # Total time         : 132.429 s
%------------------------------------------------------------------------------