TSTP Solution File: LCL112-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL112-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 13:52:08 EDT 2022

% Result   : Unsatisfiable 1.74s 1.95s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_mv_29,negated_conjecture,
    ~ is_a_theorem(implies(a,not(not(a)))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X4,X5))
    | ~ is_a_theorem(X4)
    | is_a_theorem(X5) ),
    input ).

cnf(mv_5,axiom,
    is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
    input ).

cnf(c8,plain,
    ( ~ is_a_theorem(implies(not(X28),not(X27)))
    | is_a_theorem(implies(X27,X28)) ),
    inference(resolution,status(thm),[mv_5,condensed_detachment]) ).

cnf(mv_2,axiom,
    is_a_theorem(implies(implies(X11,X13),implies(implies(X13,X12),implies(X11,X12)))),
    input ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X31,X32))
    | is_a_theorem(implies(implies(X32,X33),implies(X31,X33))) ),
    inference(resolution,status(thm),[mv_2,condensed_detachment]) ).

cnf(mv_1,axiom,
    is_a_theorem(implies(X2,implies(X3,X2))),
    input ).

cnf(c13,plain,
    is_a_theorem(implies(implies(implies(X36,X34),X35),implies(X34,X35))),
    inference(resolution,status(thm),[c4,mv_1]) ).

cnf(c19,plain,
    ( ~ is_a_theorem(implies(implies(X37,X38),X39))
    | is_a_theorem(implies(X38,X39)) ),
    inference(resolution,status(thm),[c13,condensed_detachment]) ).

cnf(c24,plain,
    is_a_theorem(implies(not(X42),implies(X42,X43))),
    inference(resolution,status(thm),[c19,mv_5]) ).

cnf(c28,plain,
    is_a_theorem(implies(implies(implies(X237,X238),X239),implies(not(X237),X239))),
    inference(resolution,status(thm),[c24,c4]) ).

cnf(c340,plain,
    ( ~ is_a_theorem(implies(implies(X889,X890),X888))
    | is_a_theorem(implies(not(X889),X888)) ),
    inference(resolution,status(thm),[c28,condensed_detachment]) ).

cnf(mv_3,axiom,
    is_a_theorem(implies(implies(implies(X29,X30),X30),implies(implies(X30,X29),X29))),
    input ).

cnf(c25,plain,
    is_a_theorem(implies(X54,implies(implies(X54,X53),X53))),
    inference(resolution,status(thm),[c19,mv_3]) ).

cnf(c41,plain,
    ( ~ is_a_theorem(X67)
    | is_a_theorem(implies(implies(X67,X66),X66)) ),
    inference(resolution,status(thm),[c25,condensed_detachment]) ).

cnf(c62,plain,
    is_a_theorem(implies(implies(implies(X109,implies(X108,X109)),X107),X107)),
    inference(resolution,status(thm),[c41,mv_1]) ).

cnf(c123,plain,
    is_a_theorem(implies(X110,X110)),
    inference(resolution,status(thm),[c62,c19]) ).

cnf(c132,plain,
    is_a_theorem(implies(implies(implies(X137,X137),X136),X136)),
    inference(resolution,status(thm),[c123,c41]) ).

cnf(c14,plain,
    is_a_theorem(implies(implies(implies(X141,X143),X142),implies(implies(not(X143),not(X141)),X142))),
    inference(resolution,status(thm),[c4,mv_5]) ).

cnf(c173,plain,
    ( ~ is_a_theorem(implies(implies(X2001,X2002),X2000))
    | is_a_theorem(implies(implies(not(X2002),not(X2001)),X2000)) ),
    inference(resolution,status(thm),[c14,condensed_detachment]) ).

cnf(c2276,plain,
    is_a_theorem(implies(implies(not(X2190),not(implies(X2189,X2189))),X2190)),
    inference(resolution,status(thm),[c173,c132]) ).

cnf(c2579,plain,
    is_a_theorem(implies(not(not(X2198)),X2198)),
    inference(resolution,status(thm),[c2276,c340]) ).

cnf(c2590,plain,
    is_a_theorem(implies(X2199,not(not(X2199)))),
    inference(resolution,status(thm),[c2579,c8]) ).

cnf(c2610,plain,
    $false,
    inference(resolution,status(thm),[c2590,prove_mv_29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL112-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n023.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 : Sat Jul  2 17:19:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.74/1.95  # Version:  1.3
% 1.74/1.95  # SZS status Unsatisfiable
% 1.74/1.95  # SZS output start CNFRefutation
% See solution above
% 1.74/1.95  
% 1.74/1.95  # Initial clauses    : 6
% 1.74/1.95  # Processed clauses  : 184
% 1.74/1.95  # Factors computed   : 0
% 1.74/1.95  # Resolvents computed: 2622
% 1.74/1.95  # Tautologies deleted: 1
% 1.74/1.95  # Forward subsumed   : 549
% 1.74/1.95  # Backward subsumed  : 0
% 1.74/1.95  # -------- CPU Time ---------
% 1.74/1.95  # User time          : 1.595 s
% 1.74/1.95  # System time        : 0.016 s
% 1.74/1.95  # Total time         : 1.611 s
%------------------------------------------------------------------------------