TSTP Solution File: LCL367-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL367-1 : 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 13:54:01 EDT 2022

% Result   : Unsatisfiable 2.30s 2.52s
% Output   : Refutation 2.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_17,negated_conjecture,
    ~ is_a_theorem(implies(x,implies(implies(y,x),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(X23,X21))
    | is_a_theorem(implies(implies(X21,X22),implies(X23,X22))) ),
    inference(resolution,status(thm),[cn_1,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(cn_3,axiom,
    is_a_theorem(implies(X3,implies(not(X3),X4))),
    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(X46,X46)),X45)),
    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(X118,implies(not(implies(X119,X119)),X117))),
    inference(resolution,status(thm),[c35,c18]) ).

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

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

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

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

cnf(c328,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),X1412),implies(X1414,X1412))),
    inference(resolution,status(thm),[c328,c4]) ).

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

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

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

cnf(c1487,plain,
    is_a_theorem(implies(implies(X2214,implies(not(X2215),X2215)),implies(X2216,implies(X2214,X2215)))),
    inference(resolution,status(thm),[c377,c70]) ).

cnf(c680,plain,
    is_a_theorem(implies(implies(X796,X797),implies(X795,implies(X796,X797)))),
    inference(resolution,status(thm),[c70,c271]) ).

cnf(c709,plain,
    is_a_theorem(implies(X802,implies(X803,implies(not(X802),X801)))),
    inference(resolution,status(thm),[c680,c18]) ).

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

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

cnf(c2508,plain,
    is_a_theorem(implies(X2308,implies(X2307,implies(X2309,X2308)))),
    inference(resolution,status(thm),[c1543,c1487]) ).

cnf(c2594,plain,
    is_a_theorem(implies(implies(implies(X2650,implies(X2651,X2653)),X2652),implies(X2653,X2652))),
    inference(resolution,status(thm),[c2508,c4]) ).

cnf(c3233,plain,
    is_a_theorem(implies(X2662,implies(X2661,implies(X2663,X2661)))),
    inference(resolution,status(thm),[c2594,c1481]) ).

cnf(c3245,plain,
    is_a_theorem(implies(X2665,implies(X2664,X2665))),
    inference(resolution,status(thm),[c3233,c1]) ).

cnf(c3279,plain,
    $false,
    inference(resolution,status(thm),[c3245,prove_cn_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL367-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n008.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 : Mon Jul  4 20:12:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.30/2.52  # Version:  1.3
% 2.30/2.52  # SZS status Unsatisfiable
% 2.30/2.52  # SZS output start CNFRefutation
% See solution above
% 2.30/2.52  
% 2.30/2.52  # Initial clauses    : 5
% 2.30/2.52  # Processed clauses  : 217
% 2.30/2.52  # Factors computed   : 0
% 2.30/2.52  # Resolvents computed: 3281
% 2.30/2.52  # Tautologies deleted: 1
% 2.30/2.52  # Forward subsumed   : 559
% 2.30/2.52  # Backward subsumed  : 10
% 2.30/2.52  # -------- CPU Time ---------
% 2.30/2.52  # User time          : 2.126 s
% 2.30/2.52  # System time        : 0.019 s
% 2.30/2.52  # Total time         : 2.145 s
%------------------------------------------------------------------------------