TSTP Solution File: LCL402-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL402-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n016.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 17:31:17 EDT 2024

% Result   : Unsatisfiable 56.60s 56.82s
% Output   : Refutation 56.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   65 (  45 unt;   0 nHn;  14 RR)
%            Number of literals    :   86 (   0 equ;  22 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   :  159 (  43 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_68,negated_conjecture,
    ~ is_a_theorem(implies(not(implies(x,not(y))),y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_68) ).

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

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

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X22,X21))
    | is_a_theorem(implies(implies(X21,X23),implies(X22,X23))) ),
    inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).

cnf(c15,plain,
    is_a_theorem(implies(implies(implies(implies(X91,X94),implies(X92,X94)),X93),implies(implies(X92,X91),X93))),
    inference(resolution,[status(thm)],[c4,cn_1]) ).

cnf(c86,plain,
    ( ~ is_a_theorem(implies(implies(implies(X908,X909),implies(X907,X909)),X906))
    | is_a_theorem(implies(implies(X907,X908),X906)) ),
    inference(resolution,[status(thm)],[c15,condensed_detachment]) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X2),X2),X2)),
    file('/export/starexec/sandbox/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_3,axiom,
    is_a_theorem(implies(X4,implies(not(X4),X3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

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

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

cnf(c20,plain,
    ( ~ is_a_theorem(implies(implies(not(X51),X49),X50))
    | is_a_theorem(implies(X51,X50)) ),
    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(c43,plain,
    is_a_theorem(implies(X56,X56)),
    inference(resolution,[status(thm)],[c20,cn_2]) ).

cnf(c55,plain,
    is_a_theorem(implies(not(implies(X63,X63)),X62)),
    inference(resolution,[status(thm)],[c43,c0]) ).

cnf(c62,plain,
    is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
    inference(resolution,[status(thm)],[c55,c4]) ).

cnf(c119,plain,
    is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
    inference(resolution,[status(thm)],[c62,c20]) ).

cnf(c131,plain,
    is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X217),X216),implies(X214,X216))),
    inference(resolution,[status(thm)],[c119,c4]) ).

cnf(c251,plain,
    ( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X219),X220))
    | is_a_theorem(implies(X218,X220)) ),
    inference(resolution,[status(thm)],[c131,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(c25,plain,
    is_a_theorem(implies(implies(not(implies(X234,X235)),implies(X234,X235)),implies(implies(not(X234),X234),X235))),
    inference(resolution,[status(thm)],[c17,c13]) ).

cnf(c295,plain,
    is_a_theorem(implies(X265,implies(implies(not(X264),X264),X264))),
    inference(resolution,[status(thm)],[c25,c251]) ).

cnf(c344,plain,
    is_a_theorem(implies(implies(implies(implies(not(X904),X904),X904),X905),implies(X903,X905))),
    inference(resolution,[status(thm)],[c295,c4]) ).

cnf(c772,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(X1546),X1546),X1546),X1545))
    | is_a_theorem(implies(X1547,X1545)) ),
    inference(resolution,[status(thm)],[c344,condensed_detachment]) ).

cnf(c1599,plain,
    is_a_theorem(implies(X1651,implies(implies(implies(not(not(X1652)),X1653),X1652),X1652))),
    inference(resolution,[status(thm)],[c772,c22]) ).

cnf(c1668,plain,
    is_a_theorem(implies(implies(implies(not(not(X1655)),X1654),X1655),X1655)),
    inference(resolution,[status(thm)],[c1599,c1]) ).

cnf(c1674,plain,
    ( ~ is_a_theorem(implies(implies(not(not(X1664)),X1663),X1664))
    | is_a_theorem(X1664) ),
    inference(resolution,[status(thm)],[c1668,condensed_detachment]) ).

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

cnf(c287,plain,
    is_a_theorem(implies(implies(implies(X295,X295),X297),implies(X296,X297))),
    inference(resolution,[status(thm)],[c258,c4]) ).

cnf(c792,plain,
    is_a_theorem(implies(implies(X1892,implies(not(X1891),X1891)),implies(X1893,implies(X1892,X1891)))),
    inference(resolution,[status(thm)],[c86,c344]) ).

cnf(c1916,plain,
    ( ~ is_a_theorem(implies(X2339,implies(not(X2338),X2338)))
    | is_a_theorem(implies(X2337,implies(X2339,X2338))) ),
    inference(resolution,[status(thm)],[c792,condensed_detachment]) ).

cnf(c2582,plain,
    is_a_theorem(implies(X2376,implies(implies(implies(X2377,X2377),X2378),X2378))),
    inference(resolution,[status(thm)],[c1916,c287]) ).

cnf(c2687,plain,
    is_a_theorem(implies(implies(implies(X2380,X2380),X2379),X2379)),
    inference(resolution,[status(thm)],[c2582,c1674]) ).

cnf(c2708,plain,
    ( ~ is_a_theorem(implies(implies(X2391,X2391),X2390))
    | is_a_theorem(X2390) ),
    inference(resolution,[status(thm)],[c2687,condensed_detachment]) ).

cnf(c1921,plain,
    is_a_theorem(implies(implies(not(X4925),X4923),implies(X4924,implies(implies(X4923,X4925),X4925)))),
    inference(resolution,[status(thm)],[c792,c86]) ).

cnf(c28,plain,
    is_a_theorem(implies(implies(not(implies(X262,X261)),implies(X262,X261)),implies(implies(X261,X263),implies(X262,X263)))),
    inference(resolution,[status(thm)],[c17,cn_1]) ).

cnf(c328,plain,
    ( ~ is_a_theorem(implies(not(implies(X4235,X4236)),implies(X4235,X4236)))
    | is_a_theorem(implies(implies(X4236,X4234),implies(X4235,X4234))) ),
    inference(resolution,[status(thm)],[c28,condensed_detachment]) ).

cnf(c6637,plain,
    is_a_theorem(implies(X4941,implies(X4940,implies(implies(X4939,X4941),X4941)))),
    inference(resolution,[status(thm)],[c1921,c20]) ).

cnf(c6671,plain,
    is_a_theorem(implies(X4948,implies(X4946,implies(implies(X4947,X4946),X4946)))),
    inference(resolution,[status(thm)],[c6637,c1916]) ).

cnf(c6704,plain,
    is_a_theorem(implies(implies(implies(implies(X5168,X5166),X5166),X5167),implies(X5166,X5167))),
    inference(resolution,[status(thm)],[c6671,c328]) ).

cnf(c7759,plain,
    ( ~ is_a_theorem(implies(implies(implies(X5323,X5322),X5322),X5324))
    | is_a_theorem(implies(X5322,X5324)) ),
    inference(resolution,[status(thm)],[c6704,condensed_detachment]) ).

cnf(c7864,plain,
    is_a_theorem(implies(X5333,implies(X5334,X5333))),
    inference(resolution,[status(thm)],[c7759,c14]) ).

cnf(c8025,plain,
    is_a_theorem(implies(implies(implies(X5692,X5693),X5694),implies(X5693,X5694))),
    inference(resolution,[status(thm)],[c7864,c4]) ).

cnf(c8978,plain,
    ( ~ is_a_theorem(implies(implies(X5824,X5825),X5823))
    | is_a_theorem(implies(X5825,X5823)) ),
    inference(resolution,[status(thm)],[c8025,condensed_detachment]) ).

cnf(c9386,plain,
    is_a_theorem(implies(X6117,implies(X6116,implies(implies(X6117,X6118),X6118)))),
    inference(resolution,[status(thm)],[c8978,c1921]) ).

cnf(c10584,plain,
    is_a_theorem(implies(X6261,implies(X6259,implies(implies(X6259,X6260),X6260)))),
    inference(resolution,[status(thm)],[c9386,c1916]) ).

cnf(c10803,plain,
    is_a_theorem(implies(X6269,implies(implies(X6269,X6270),X6270))),
    inference(resolution,[status(thm)],[c10584,c2708]) ).

cnf(c10850,plain,
    ( ~ is_a_theorem(X6287)
    | is_a_theorem(implies(implies(X6287,X6286),X6286)) ),
    inference(resolution,[status(thm)],[c10803,condensed_detachment]) ).

cnf(c10866,plain,
    is_a_theorem(implies(implies(implies(implies(not(X7845),X7845),X7845),X7844),X7844)),
    inference(resolution,[status(thm)],[c10850,cn_2]) ).

cnf(c15451,plain,
    is_a_theorem(implies(implies(X8780,implies(not(X8781),X8781)),implies(X8780,X8781))),
    inference(resolution,[status(thm)],[c10866,c86]) ).

cnf(c19359,plain,
    ( ~ is_a_theorem(implies(X9443,implies(not(X9442),X9442)))
    | is_a_theorem(implies(X9443,X9442)) ),
    inference(resolution,[status(thm)],[c15451,condensed_detachment]) ).

cnf(c798,plain,
    is_a_theorem(implies(implies(X995,not(X994)),implies(X994,implies(X995,X993)))),
    inference(resolution,[status(thm)],[c86,c14]) ).

cnf(c1042,plain,
    ( ~ is_a_theorem(implies(X1066,not(X1065)))
    | is_a_theorem(implies(X1065,implies(X1066,X1067))) ),
    inference(resolution,[status(thm)],[c798,condensed_detachment]) ).

cnf(c19364,plain,
    is_a_theorem(implies(implies(not(X9814),X9813),implies(implies(X9813,X9814),X9814))),
    inference(resolution,[status(thm)],[c15451,c86]) ).

cnf(c22410,plain,
    ( ~ is_a_theorem(implies(not(X10617),X10616))
    | is_a_theorem(implies(implies(X10616,X10617),X10617)) ),
    inference(resolution,[status(thm)],[c19364,condensed_detachment]) ).

cnf(c10804,plain,
    is_a_theorem(implies(implies(implies(implies(X13096,X13097),X13097),X13098),implies(X13096,X13098))),
    inference(resolution,[status(thm)],[c10584,c328]) ).

cnf(c32920,plain,
    ( ~ is_a_theorem(implies(implies(implies(X16584,X16583),X16583),X16582))
    | is_a_theorem(implies(X16584,X16582)) ),
    inference(resolution,[status(thm)],[c10804,condensed_detachment]) ).

cnf(c40884,plain,
    is_a_theorem(implies(not(not(X16610)),X16610)),
    inference(resolution,[status(thm)],[c32920,c1668]) ).

cnf(c40977,plain,
    is_a_theorem(implies(implies(X16860,not(X16860)),not(X16860))),
    inference(resolution,[status(thm)],[c40884,c22410]) ).

cnf(c41979,plain,
    is_a_theorem(implies(X16861,not(not(X16861)))),
    inference(resolution,[status(thm)],[c40977,c20]) ).

cnf(c42067,plain,
    is_a_theorem(implies(X17014,not(not(implies(X17013,X17014))))),
    inference(resolution,[status(thm)],[c41979,c8978]) ).

cnf(c43807,plain,
    is_a_theorem(implies(not(implies(X17431,X17429)),implies(X17429,X17430))),
    inference(resolution,[status(thm)],[c42067,c1042]) ).

cnf(c46552,plain,
    is_a_theorem(implies(not(implies(X17453,not(X17454))),X17454)),
    inference(resolution,[status(thm)],[c43807,c19359]) ).

cnf(c46673,plain,
    $false,
    inference(resolution,[status(thm)],[c46552,prove_cn_68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL402-1 : 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 : n016.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 15:20:23 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 56.60/56.82  % Version:  1.5
% 56.60/56.82  % SZS status Unsatisfiable
% 56.60/56.82  % SZS output start CNFRefutation
% See solution above
% 56.60/56.82  
% 56.60/56.82  % Initial clauses    : 5
% 56.60/56.82  % Processed clauses  : 932
% 56.60/56.82  % Factors computed   : 0
% 56.60/56.82  % Resolvents computed: 46763
% 56.60/56.82  % Tautologies deleted: 1
% 56.60/56.82  % Forward subsumed   : 4509
% 56.60/56.82  % Backward subsumed  : 122
% 56.60/56.82  % -------- CPU Time ---------
% 56.60/56.82  % User time          : 56.337 s
% 56.60/56.82  % System time        : 0.083 s
% 56.60/56.82  % Total time         : 56.420 s
%------------------------------------------------------------------------------