TSTP Solution File: LCL399-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL399-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 : Sun Jul 17 13:54:13 EDT 2022

% Result   : Unsatisfiable 24.44s 24.68s
% Output   : Refutation 24.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_65,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(x),not(implies(y,y))),x)),
    input ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X2),X2),X2)),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X5,X6))
    | ~ is_a_theorem(X5)
    | is_a_theorem(X6) ),
    input ).

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(X11,X12),implies(implies(X12,X10),implies(X11,X10)))),
    input ).

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

cnf(c13,plain,
    is_a_theorem(implies(implies(implies(implies(X83,X81),implies(X82,X81)),X84),implies(implies(X82,X83),X84))),
    inference(resolution,status(thm),[c4,cn_1]) ).

cnf(c70,plain,
    ( ~ is_a_theorem(implies(implies(implies(X787,X788),implies(X786,X788)),X785))
    | is_a_theorem(implies(implies(X786,X787),X785)) ),
    inference(resolution,status(thm),[c13,condensed_detachment]) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X3,implies(not(X3),X4))),
    input ).

cnf(c12,plain,
    is_a_theorem(implies(implies(implies(not(X30),X31),X29),implies(X30,X29))),
    inference(resolution,status(thm),[c4,cn_3]) ).

cnf(c17,plain,
    is_a_theorem(implies(implies(implies(X128,X131),X130),implies(implies(implies(not(X128),X129),X131),X130))),
    inference(resolution,status(thm),[c12,c4]) ).

cnf(c134,plain,
    ( ~ is_a_theorem(implies(implies(X1739,X1740),X1741))
    | is_a_theorem(implies(implies(implies(not(X1739),X1742),X1740),X1741)) ),
    inference(resolution,status(thm),[c17,condensed_detachment]) ).

cnf(c16,plain,
    is_a_theorem(implies(implies(X32,X33),implies(implies(not(X32),X32),X33))),
    inference(resolution,status(thm),[c4,cn_2]) ).

cnf(c18,plain,
    ( ~ is_a_theorem(implies(implies(not(X34),X35),X36))
    | is_a_theorem(implies(X34,X36)) ),
    inference(resolution,status(thm),[c12,condensed_detachment]) ).

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

cnf(c26,plain,
    is_a_theorem(implies(X41,X41)),
    inference(resolution,status(thm),[c18,cn_2]) ).

cnf(c33,plain,
    is_a_theorem(implies(not(implies(X44,X44)),X43)),
    inference(resolution,status(thm),[c26,c0]) ).

cnf(c35,plain,
    is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
    inference(resolution,status(thm),[c33,c4]) ).

cnf(c124,plain,
    is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
    inference(resolution,status(thm),[c35,c18]) ).

cnf(c125,plain,
    is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X217),X215),implies(X218,X215))),
    inference(resolution,status(thm),[c124,c4]) ).

cnf(c251,plain,
    ( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X221),X219))
    | is_a_theorem(implies(X222,X219)) ),
    inference(resolution,status(thm),[c125,condensed_detachment]) ).

cnf(c264,plain,
    is_a_theorem(implies(X223,implies(X224,X224))),
    inference(resolution,status(thm),[c251,cn_2]) ).

cnf(c270,plain,
    is_a_theorem(implies(implies(implies(X270,X270),X271),implies(X272,X271))),
    inference(resolution,status(thm),[c264,c4]) ).

cnf(c309,plain,
    ( ~ is_a_theorem(implies(implies(X274,X274),X275))
    | is_a_theorem(implies(X273,X275)) ),
    inference(resolution,status(thm),[c270,condensed_detachment]) ).

cnf(c333,plain,
    is_a_theorem(implies(X321,implies(implies(not(X322),X322),X322))),
    inference(resolution,status(thm),[c309,c16]) ).

cnf(c379,plain,
    is_a_theorem(implies(implies(implies(implies(not(X1411),X1411),X1411),X1412),implies(X1413,X1412))),
    inference(resolution,status(thm),[c333,c4]) ).

cnf(c1479,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(X2086),X2086),X2086),X2087))
    | is_a_theorem(implies(X2085,X2087)) ),
    inference(resolution,status(thm),[c379,condensed_detachment]) ).

cnf(c308,plain,
    is_a_theorem(implies(implies(implies(X4712,X4714),X4715),implies(implies(implies(X4713,X4713),X4714),X4715))),
    inference(resolution,status(thm),[c270,c4]) ).

cnf(c7012,plain,
    is_a_theorem(implies(X4716,implies(implies(implies(X4718,X4718),X4717),X4717))),
    inference(resolution,status(thm),[c308,c1479]) ).

cnf(c7038,plain,
    is_a_theorem(implies(implies(implies(X4719,X4719),X4720),X4720)),
    inference(resolution,status(thm),[c7012,c1]) ).

cnf(c7069,plain,
    is_a_theorem(implies(implies(implies(not(implies(X5070,X5070)),X5071),X5072),X5072)),
    inference(resolution,status(thm),[c7038,c134]) ).

cnf(c7519,plain,
    is_a_theorem(implies(implies(X5460,not(implies(X5459,X5459))),implies(X5460,X5461))),
    inference(resolution,status(thm),[c7069,c70]) ).

cnf(c1481,plain,
    is_a_theorem(implies(implies(X2215,implies(not(X2216),X2216)),implies(X2214,implies(X2215,X2216)))),
    inference(resolution,status(thm),[c379,c70]) ).

cnf(c2363,plain,
    ( ~ is_a_theorem(implies(X9999,implies(not(X9998),X9998)))
    | is_a_theorem(implies(X9997,implies(X9999,X9998))) ),
    inference(resolution,status(thm),[c1481,condensed_detachment]) ).

cnf(c17143,plain,
    is_a_theorem(implies(X12549,implies(implies(not(X12548),not(implies(X12550,X12550))),X12548))),
    inference(resolution,status(thm),[c2363,c7519]) ).

cnf(c23741,plain,
    is_a_theorem(implies(implies(not(X12559),not(implies(X12560,X12560))),X12559)),
    inference(resolution,status(thm),[c17143,c1]) ).

cnf(c23818,plain,
    $false,
    inference(resolution,status(thm),[c23741,prove_cn_65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL399-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n008.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 Jul  4 03:48:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 24.44/24.68  # Version:  1.3
% 24.44/24.68  # SZS status Unsatisfiable
% 24.44/24.68  # SZS output start CNFRefutation
% See solution above
% 24.44/24.68  
% 24.44/24.68  # Initial clauses    : 5
% 24.44/24.68  # Processed clauses  : 631
% 24.44/24.68  # Factors computed   : 0
% 24.44/24.68  # Resolvents computed: 23842
% 24.44/24.68  # Tautologies deleted: 1
% 24.44/24.68  # Forward subsumed   : 2922
% 24.44/24.68  # Backward subsumed  : 90
% 24.44/24.68  # -------- CPU Time ---------
% 24.44/24.68  # User time          : 24.295 s
% 24.44/24.68  # System time        : 0.047 s
% 24.44/24.68  # Total time         : 24.342 s
%------------------------------------------------------------------------------