TSTP Solution File: LCL405-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL405-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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  : 300s
% DateTime : Thu May  9 17:31:18 EDT 2024

% Result   : Unsatisfiable 80.21s 80.43s
% Output   : Refutation 80.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   77 (  54 unt;   0 nHn;  15 RR)
%            Number of literals    :  101 (   0 equ;  25 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  198 (  58 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_71,negated_conjecture,
    ~ is_a_theorem(not(implies(implies(x,x),not(implies(y,y))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_71) ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X5,X6))
    | ~ is_a_theorem(X5)
    | is_a_theorem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X2),X2),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).

cnf(c1,plain,
    ( ~ is_a_theorem(implies(not(X9),X9))
    | is_a_theorem(X9) ),
    inference(resolution,[status(thm)],[condensed_detachment,cn_2]) ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X10,X12),implies(implies(X12,X11),implies(X10,X11)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X28,X27))
    | is_a_theorem(implies(implies(X27,X26),implies(X28,X26))) ),
    inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X3,implies(not(X3),X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).

cnf(c14,plain,
    is_a_theorem(implies(implies(implies(not(X33),X31),X32),implies(X33,X32))),
    inference(resolution,[status(thm)],[c4,cn_3]) ).

cnf(c22,plain,
    is_a_theorem(implies(implies(implies(X184,X183),X181),implies(implies(implies(not(X184),X182),X183),X181))),
    inference(resolution,[status(thm)],[c14,c4]) ).

cnf(c20,plain,
    ( ~ is_a_theorem(implies(implies(not(X51),X50),X49))
    | is_a_theorem(implies(X51,X49)) ),
    inference(resolution,[status(thm)],[c14,condensed_detachment]) ).

cnf(c0,plain,
    ( ~ is_a_theorem(X8)
    | is_a_theorem(implies(not(X8),X7)) ),
    inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).

cnf(c42,plain,
    is_a_theorem(implies(X56,X56)),
    inference(resolution,[status(thm)],[c20,cn_2]) ).

cnf(c54,plain,
    is_a_theorem(implies(not(implies(X61,X61)),X60)),
    inference(resolution,[status(thm)],[c42,c0]) ).

cnf(c61,plain,
    is_a_theorem(implies(implies(X116,X115),implies(not(implies(X114,X114)),X115))),
    inference(resolution,[status(thm)],[c54,c4]) ).

cnf(c124,plain,
    is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
    inference(resolution,[status(thm)],[c61,c20]) ).

cnf(c129,plain,
    is_a_theorem(implies(implies(implies(not(implies(X217,X217)),X218),X216),implies(X219,X216))),
    inference(resolution,[status(thm)],[c124,c4]) ).

cnf(c251,plain,
    ( ~ is_a_theorem(implies(implies(not(implies(X222,X222)),X220),X221))
    | is_a_theorem(implies(X223,X221)) ),
    inference(resolution,[status(thm)],[c129,condensed_detachment]) ).

cnf(c13,plain,
    is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
    inference(resolution,[status(thm)],[c4,cn_2]) ).

cnf(c17,plain,
    ( ~ is_a_theorem(implies(X34,X35))
    | is_a_theorem(implies(implies(not(X34),X34),X35)) ),
    inference(resolution,[status(thm)],[c13,condensed_detachment]) ).

cnf(c27,plain,
    is_a_theorem(implies(implies(not(implies(X249,X250)),implies(X249,X250)),implies(implies(not(X249),X249),X250))),
    inference(resolution,[status(thm)],[c17,c13]) ).

cnf(c302,plain,
    is_a_theorem(implies(X258,implies(implies(not(X259),X259),X259))),
    inference(resolution,[status(thm)],[c27,c251]) ).

cnf(c320,plain,
    is_a_theorem(implies(implies(implies(implies(not(X861),X861),X861),X859),implies(X860,X859))),
    inference(resolution,[status(thm)],[c302,c4]) ).

cnf(c743,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(X1435),X1435),X1435),X1436))
    | is_a_theorem(implies(X1434,X1436)) ),
    inference(resolution,[status(thm)],[c320,condensed_detachment]) ).

cnf(c1544,plain,
    is_a_theorem(implies(X1546,implies(implies(implies(not(not(X1545)),X1547),X1545),X1545))),
    inference(resolution,[status(thm)],[c743,c22]) ).

cnf(c1605,plain,
    is_a_theorem(implies(implies(implies(not(not(X1548)),X1549),X1548),X1548)),
    inference(resolution,[status(thm)],[c1544,c1]) ).

cnf(c1613,plain,
    ( ~ is_a_theorem(implies(implies(not(not(X1555)),X1556),X1555))
    | is_a_theorem(X1555) ),
    inference(resolution,[status(thm)],[c1605,condensed_detachment]) ).

cnf(c258,plain,
    is_a_theorem(implies(X225,implies(X226,X226))),
    inference(resolution,[status(thm)],[c251,cn_2]) ).

cnf(c282,plain,
    is_a_theorem(implies(implies(implies(X298,X298),X296),implies(X297,X296))),
    inference(resolution,[status(thm)],[c258,c4]) ).

cnf(c355,plain,
    ( ~ is_a_theorem(implies(implies(X304,X304),X303))
    | is_a_theorem(implies(X302,X303)) ),
    inference(resolution,[status(thm)],[c282,condensed_detachment]) ).

cnf(c378,plain,
    is_a_theorem(implies(X315,implies(X314,implies(X316,X316)))),
    inference(resolution,[status(thm)],[c355,c282]) ).

cnf(c395,plain,
    is_a_theorem(implies(implies(implies(X435,implies(X437,X437)),X434),implies(X436,X434))),
    inference(resolution,[status(thm)],[c378,c4]) ).

cnf(c471,plain,
    ( ~ is_a_theorem(implies(implies(X475,implies(X473,X473)),X476))
    | is_a_theorem(implies(X474,X476)) ),
    inference(resolution,[status(thm)],[c395,condensed_detachment]) ).

cnf(c15,plain,
    is_a_theorem(implies(implies(implies(implies(X94,X92),implies(X95,X92)),X93),implies(implies(X95,X94),X93))),
    inference(resolution,[status(thm)],[c4,cn_1]) ).

cnf(c86,plain,
    ( ~ is_a_theorem(implies(implies(implies(X902,X905),implies(X903,X905)),X904))
    | is_a_theorem(implies(implies(X903,X902),X904)) ),
    inference(resolution,[status(thm)],[c15,condensed_detachment]) ).

cnf(c783,plain,
    is_a_theorem(implies(implies(X1871,implies(not(X1870),X1870)),implies(X1869,implies(X1871,X1870)))),
    inference(resolution,[status(thm)],[c86,c320]) ).

cnf(c1863,plain,
    is_a_theorem(implies(implies(not(X2255),X2253),implies(X2254,implies(implies(X2253,X2255),X2255)))),
    inference(resolution,[status(thm)],[c783,c86]) ).

cnf(c2286,plain,
    is_a_theorem(implies(X2315,implies(X2316,implies(implies(implies(X2313,X2313),X2314),X2314)))),
    inference(resolution,[status(thm)],[c1863,c471]) ).

cnf(c2562,plain,
    is_a_theorem(implies(X2318,implies(implies(implies(X2319,X2319),X2317),X2317))),
    inference(resolution,[status(thm)],[c2286,c1613]) ).

cnf(c2584,plain,
    is_a_theorem(implies(implies(implies(X2323,X2323),X2324),X2324)),
    inference(resolution,[status(thm)],[c2562,c1613]) ).

cnf(c2612,plain,
    ( ~ is_a_theorem(implies(implies(X2339,X2339),X2338))
    | is_a_theorem(X2338) ),
    inference(resolution,[status(thm)],[c2584,condensed_detachment]) ).

cnf(c811,plain,
    is_a_theorem(implies(implies(X994,not(X992)),implies(X992,implies(X994,X993)))),
    inference(resolution,[status(thm)],[c86,c14]) ).

cnf(c1045,plain,
    ( ~ is_a_theorem(implies(X1075,not(X1076)))
    | is_a_theorem(implies(X1076,implies(X1075,X1074))) ),
    inference(resolution,[status(thm)],[c811,condensed_detachment]) ).

cnf(c2611,plain,
    is_a_theorem(implies(X2533,implies(implies(implies(X2534,X2534),not(X2533)),X2532))),
    inference(resolution,[status(thm)],[c2584,c1045]) ).

cnf(c2880,plain,
    is_a_theorem(implies(implies(implies(X2593,X2593),not(implies(X2592,X2592))),X2594)),
    inference(resolution,[status(thm)],[c2611,c2612]) ).

cnf(c1871,plain,
    ( ~ is_a_theorem(implies(X3359,implies(not(X3357),X3357)))
    | is_a_theorem(implies(X3358,implies(X3359,X3357))) ),
    inference(resolution,[status(thm)],[c783,condensed_detachment]) ).

cnf(c4076,plain,
    is_a_theorem(implies(X4015,implies(implies(implies(X4013,implies(X4014,X4014)),X4016),X4016))),
    inference(resolution,[status(thm)],[c1871,c395]) ).

cnf(c5854,plain,
    is_a_theorem(implies(implies(implies(X4020,implies(X4019,X4019)),X4021),X4021)),
    inference(resolution,[status(thm)],[c4076,c2612]) ).

cnf(c5891,plain,
    ( ~ is_a_theorem(implies(implies(X4068,implies(X4069,X4069)),X4067))
    | is_a_theorem(X4067) ),
    inference(resolution,[status(thm)],[c5854,condensed_detachment]) ).

cnf(c2288,plain,
    is_a_theorem(implies(X2257,implies(X2258,implies(implies(X2256,X2257),X2257)))),
    inference(resolution,[status(thm)],[c1863,c20]) ).

cnf(c4175,plain,
    is_a_theorem(implies(X3414,implies(X3412,implies(implies(X3413,X3412),X3412)))),
    inference(resolution,[status(thm)],[c1871,c2288]) ).

cnf(c4358,plain,
    is_a_theorem(implies(X3416,implies(implies(X3415,X3416),X3416))),
    inference(resolution,[status(thm)],[c4175,c2612]) ).

cnf(c4380,plain,
    is_a_theorem(implies(implies(implies(implies(X4607,X4608),X4608),X4606),implies(X4608,X4606))),
    inference(resolution,[status(thm)],[c4358,c4]) ).

cnf(c6933,plain,
    is_a_theorem(implies(implies(X4815,implies(X4814,X4813)),implies(X4813,implies(X4815,X4813)))),
    inference(resolution,[status(thm)],[c4380,c86]) ).

cnf(c7073,plain,
    is_a_theorem(implies(X4816,implies(X4817,X4816))),
    inference(resolution,[status(thm)],[c6933,c5891]) ).

cnf(c7095,plain,
    is_a_theorem(implies(implies(implies(X5087,X5088),X5086),implies(X5088,X5086))),
    inference(resolution,[status(thm)],[c7073,c4]) ).

cnf(c7801,plain,
    ( ~ is_a_theorem(implies(implies(X5209,X5211),X5210))
    | is_a_theorem(implies(X5211,X5210)) ),
    inference(resolution,[status(thm)],[c7095,condensed_detachment]) ).

cnf(c7989,plain,
    is_a_theorem(implies(X5450,implies(X5449,implies(implies(X5450,X5448),X5448)))),
    inference(resolution,[status(thm)],[c7801,c1863]) ).

cnf(c9112,plain,
    is_a_theorem(implies(X5548,implies(X5546,implies(implies(X5546,X5547),X5547)))),
    inference(resolution,[status(thm)],[c7989,c1871]) ).

cnf(c9373,plain,
    is_a_theorem(implies(X5549,implies(implies(X5549,X5550),X5550))),
    inference(resolution,[status(thm)],[c9112,c2612]) ).

cnf(c9415,plain,
    ( ~ is_a_theorem(X5578)
    | is_a_theorem(implies(implies(X5578,X5577),X5577)) ),
    inference(resolution,[status(thm)],[c9373,condensed_detachment]) ).

cnf(c9456,plain,
    is_a_theorem(implies(implies(implies(implies(not(X7138),X7138),X7138),X7137),X7137)),
    inference(resolution,[status(thm)],[c9415,cn_2]) ).

cnf(c13961,plain,
    is_a_theorem(implies(implies(X7918,implies(not(X7917),X7917)),implies(X7918,X7917))),
    inference(resolution,[status(thm)],[c9456,c86]) ).

cnf(c16662,plain,
    is_a_theorem(implies(implies(not(X8561),X8560),implies(implies(X8560,X8561),X8561))),
    inference(resolution,[status(thm)],[c13961,c86]) ).

cnf(c18166,plain,
    ( ~ is_a_theorem(implies(not(X9442),X9441))
    | is_a_theorem(implies(implies(X9441,X9442),X9442)) ),
    inference(resolution,[status(thm)],[c16662,condensed_detachment]) ).

cnf(c16668,plain,
    ( ~ is_a_theorem(implies(X8591,implies(not(X8592),X8592)))
    | is_a_theorem(implies(X8591,X8592)) ),
    inference(resolution,[status(thm)],[c13961,condensed_detachment]) ).

cnf(c9508,plain,
    is_a_theorem(implies(implies(implies(X7159,implies(not(X7159),X7158)),X7160),X7160)),
    inference(resolution,[status(thm)],[c9415,cn_3]) ).

cnf(c14000,plain,
    ( ~ is_a_theorem(implies(implies(X8179,implies(not(X8179),X8178)),X8177))
    | is_a_theorem(X8177) ),
    inference(resolution,[status(thm)],[c9508,condensed_detachment]) ).

cnf(c26,plain,
    is_a_theorem(implies(implies(not(implies(X236,X235)),implies(X236,X235)),implies(implies(X235,X234),implies(X236,X234)))),
    inference(resolution,[status(thm)],[c17,cn_1]) ).

cnf(c289,plain,
    ( ~ is_a_theorem(implies(not(implies(X3890,X3892)),implies(X3890,X3892)))
    | is_a_theorem(implies(implies(X3892,X3891),implies(X3890,X3891))) ),
    inference(resolution,[status(thm)],[c26,condensed_detachment]) ).

cnf(c9364,plain,
    is_a_theorem(implies(implies(implies(implies(X12337,X12336),X12336),X12335),implies(X12337,X12335))),
    inference(resolution,[status(thm)],[c9112,c289]) ).

cnf(c30412,plain,
    is_a_theorem(implies(implies(X15918,implies(X15916,X15917)),implies(X15916,implies(X15918,X15917)))),
    inference(resolution,[status(thm)],[c9364,c86]) ).

cnf(c39014,plain,
    is_a_theorem(implies(not(X15929),implies(X15929,X15928))),
    inference(resolution,[status(thm)],[c30412,c14000]) ).

cnf(c39033,plain,
    is_a_theorem(implies(not(not(X15930)),X15930)),
    inference(resolution,[status(thm)],[c39014,c16668]) ).

cnf(c39056,plain,
    is_a_theorem(implies(implies(X16124,not(X16124)),not(X16124))),
    inference(resolution,[status(thm)],[c39033,c18166]) ).

cnf(c39776,plain,
    ( ~ is_a_theorem(implies(X16226,not(X16226)))
    | is_a_theorem(not(X16226)) ),
    inference(resolution,[status(thm)],[c39056,condensed_detachment]) ).

cnf(c40826,plain,
    is_a_theorem(not(implies(implies(X19112,X19112),not(implies(X19111,X19111))))),
    inference(resolution,[status(thm)],[c39776,c2880]) ).

cnf(c54468,plain,
    $false,
    inference(resolution,[status(thm)],[c40826,prove_cn_71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL405-1 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed May  8 15:32:23 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 80.21/80.43  % Version:  1.5
% 80.21/80.43  % SZS status Unsatisfiable
% 80.21/80.43  % SZS output start CNFRefutation
% See solution above
% 80.21/80.43  
% 80.21/80.43  % Initial clauses    : 5
% 80.21/80.43  % Processed clauses  : 1024
% 80.21/80.43  % Factors computed   : 0
% 80.21/80.43  % Resolvents computed: 54473
% 80.21/80.43  % Tautologies deleted: 1
% 80.21/80.43  % Forward subsumed   : 5053
% 80.21/80.43  % Backward subsumed  : 127
% 80.21/80.43  % -------- CPU Time ---------
% 80.21/80.43  % User time          : 79.982 s
% 80.21/80.43  % System time        : 0.105 s
% 80.21/80.43  % Total time         : 80.087 s
%------------------------------------------------------------------------------