TSTP Solution File: LCL049-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 13:51:41 EDT 2022

% Result   : Unsatisfiable 28.49s 28.74s
% Output   : Refutation 28.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_20,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(implies(a,b),b))),
    input ).

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

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X6,X5))
    | ~ is_a_theorem(X6)
    | is_a_theorem(X5) ),
    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(X12,X10),implies(implies(X10,X11),implies(X12,X11)))),
    input ).

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

cnf(c70,plain,
    ( ~ is_a_theorem(implies(implies(implies(X787,X786),implies(X785,X786)),X784))
    | is_a_theorem(implies(implies(X785,X787),X784)) ),
    inference(resolution,status(thm),[c13,condensed_detachment]) ).

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

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

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

cnf(c18,plain,
    ( ~ is_a_theorem(implies(implies(not(X34),X36),X35))
    | is_a_theorem(implies(X34,X35)) ),
    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(c34,plain,
    is_a_theorem(implies(not(implies(X45,X45)),X46)),
    inference(resolution,status(thm),[c26,c0]) ).

cnf(c35,plain,
    is_a_theorem(implies(implies(X114,X116),implies(not(implies(X115,X115)),X116))),
    inference(resolution,status(thm),[c34,c4]) ).

cnf(c119,plain,
    is_a_theorem(implies(X117,implies(not(implies(X119,X119)),X118))),
    inference(resolution,status(thm),[c35,c18]) ).

cnf(c126,plain,
    is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X217),X218),implies(X216,X218))),
    inference(resolution,status(thm),[c119,c4]) ).

cnf(c251,plain,
    ( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X222),X219))
    | is_a_theorem(implies(X221,X219)) ),
    inference(resolution,status(thm),[c126,condensed_detachment]) ).

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

cnf(c271,plain,
    is_a_theorem(implies(implies(implies(X272,X272),X271),implies(X270,X271))),
    inference(resolution,status(thm),[c264,c4]) ).

cnf(c309,plain,
    ( ~ is_a_theorem(implies(implies(X273,X273),X275))
    | is_a_theorem(implies(X274,X275)) ),
    inference(resolution,status(thm),[c271,condensed_detachment]) ).

cnf(c327,plain,
    is_a_theorem(implies(X321,implies(implies(not(X322),X322),X322))),
    inference(resolution,status(thm),[c309,c16]) ).

cnf(c377,plain,
    is_a_theorem(implies(implies(implies(implies(not(X1413),X1413),X1413),X1414),implies(X1412,X1414))),
    inference(resolution,status(thm),[c327,c4]) ).

cnf(c1488,plain,
    is_a_theorem(implies(implies(X2215,implies(not(X2214),X2214)),implies(X2216,implies(X2215,X2214)))),
    inference(resolution,status(thm),[c377,c70]) ).

cnf(c2365,plain,
    ( ~ is_a_theorem(implies(X9959,implies(not(X9960),X9960)))
    | is_a_theorem(implies(X9961,implies(X9959,X9960))) ),
    inference(resolution,status(thm),[c1488,condensed_detachment]) ).

cnf(c1481,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(X2086),X2086),X2086),X2085))
    | is_a_theorem(implies(X2084,X2085)) ),
    inference(resolution,status(thm),[c377,condensed_detachment]) ).

cnf(c699,plain,
    is_a_theorem(implies(implies(X797,X795),implies(X796,implies(X797,X795)))),
    inference(resolution,status(thm),[c70,c271]) ).

cnf(c709,plain,
    is_a_theorem(implies(X801,implies(X802,implies(not(X801),X803)))),
    inference(resolution,status(thm),[c699,c18]) ).

cnf(c712,plain,
    is_a_theorem(implies(implies(implies(X1490,implies(not(X1492),X1493)),X1491),implies(X1492,X1491))),
    inference(resolution,status(thm),[c709,c4]) ).

cnf(c1543,plain,
    ( ~ is_a_theorem(implies(implies(X2288,implies(not(X2289),X2286)),X2287))
    | is_a_theorem(implies(X2289,X2287)) ),
    inference(resolution,status(thm),[c712,condensed_detachment]) ).

cnf(c2521,plain,
    is_a_theorem(implies(X2308,implies(X2309,implies(X2307,X2308)))),
    inference(resolution,status(thm),[c1543,c1488]) ).

cnf(c2594,plain,
    is_a_theorem(implies(implies(implies(X2649,implies(X2652,X2650)),X2651),implies(X2650,X2651))),
    inference(resolution,status(thm),[c2521,c4]) ).

cnf(c3216,plain,
    is_a_theorem(implies(X2658,implies(X2656,implies(X2657,X2656)))),
    inference(resolution,status(thm),[c2594,c1481]) ).

cnf(c3229,plain,
    is_a_theorem(implies(X2659,implies(X2660,X2659))),
    inference(resolution,status(thm),[c3216,c1]) ).

cnf(c3243,plain,
    is_a_theorem(implies(implies(implies(X2844,X2845),X2846),implies(X2845,X2846))),
    inference(resolution,status(thm),[c3229,c4]) ).

cnf(c3678,plain,
    ( ~ is_a_theorem(implies(implies(X2957,X2958),X2956))
    | is_a_theorem(implies(X2958,X2956)) ),
    inference(resolution,status(thm),[c3243,condensed_detachment]) ).

cnf(c2373,plain,
    is_a_theorem(implies(implies(not(X14303),X14304),implies(X14305,implies(implies(X14304,X14303),X14303)))),
    inference(resolution,status(thm),[c1488,c70]) ).

cnf(c27425,plain,
    is_a_theorem(implies(X14330,implies(X14328,implies(implies(X14330,X14329),X14329)))),
    inference(resolution,status(thm),[c2373,c3678]) ).

cnf(c27470,plain,
    is_a_theorem(implies(X14349,implies(X14347,implies(implies(X14347,X14348),X14348)))),
    inference(resolution,status(thm),[c27425,c2365]) ).

cnf(c27977,plain,
    is_a_theorem(implies(X14350,implies(implies(X14350,X14351),X14351))),
    inference(resolution,status(thm),[c27470,c1]) ).

cnf(c28056,plain,
    $false,
    inference(resolution,status(thm),[c27977,prove_cn_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n013.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  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 12:38:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 28.49/28.74  # Version:  1.3
% 28.49/28.74  # SZS status Unsatisfiable
% 28.49/28.74  # SZS output start CNFRefutation
% See solution above
% 28.49/28.74  
% 28.49/28.74  # Initial clauses    : 5
% 28.49/28.74  # Processed clauses  : 703
% 28.49/28.74  # Factors computed   : 0
% 28.49/28.74  # Resolvents computed: 28085
% 28.49/28.74  # Tautologies deleted: 1
% 28.49/28.74  # Forward subsumed   : 3384
% 28.49/28.74  # Backward subsumed  : 91
% 28.49/28.74  # -------- CPU Time ---------
% 28.49/28.74  # User time          : 28.335 s
% 28.49/28.74  # System time        : 0.055 s
% 28.49/28.74  # Total time         : 28.390 s
%------------------------------------------------------------------------------