TSTP Solution File: LCL110-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 17:30:33 EDT 2024

% Result   : Unsatisfiable 2.31s 2.52s
% Output   : Refutation 2.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   22 (  16 unt;   0 nHn;   6 RR)
%            Number of literals    :   29 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   47 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_mv_24,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_24) ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X4,X5))
    | ~ is_a_theorem(X4)
    | is_a_theorem(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(mv_2,axiom,
    is_a_theorem(implies(implies(X11,X13),implies(implies(X13,X12),implies(X11,X12)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).

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

cnf(mv_5,axiom,
    is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).

cnf(mv_1,axiom,
    is_a_theorem(implies(X2,implies(X3,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).

cnf(c12,plain,
    is_a_theorem(implies(implies(implies(X34,X35),X36),implies(X35,X36))),
    inference(resolution,[status(thm)],[c4,mv_1]) ).

cnf(c18,plain,
    ( ~ is_a_theorem(implies(implies(X38,X37),X39))
    | is_a_theorem(implies(X37,X39)) ),
    inference(resolution,[status(thm)],[c12,condensed_detachment]) ).

cnf(c26,plain,
    is_a_theorem(implies(not(X42),implies(X42,X43))),
    inference(resolution,[status(thm)],[c18,mv_5]) ).

cnf(c30,plain,
    is_a_theorem(implies(implies(implies(X237,X239),X238),implies(not(X237),X238))),
    inference(resolution,[status(thm)],[c26,c4]) ).

cnf(c332,plain,
    ( ~ is_a_theorem(implies(implies(X883,X885),X884))
    | is_a_theorem(implies(not(X883),X884)) ),
    inference(resolution,[status(thm)],[c30,condensed_detachment]) ).

cnf(mv_3,axiom,
    is_a_theorem(implies(implies(implies(X29,X30),X30),implies(implies(X30,X29),X29))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).

cnf(c25,plain,
    is_a_theorem(implies(X57,implies(implies(X57,X56),X56))),
    inference(resolution,[status(thm)],[c18,mv_3]) ).

cnf(c39,plain,
    ( ~ is_a_theorem(X66)
    | is_a_theorem(implies(implies(X66,X67),X67)) ),
    inference(resolution,[status(thm)],[c25,condensed_detachment]) ).

cnf(c59,plain,
    is_a_theorem(implies(implies(implies(X107,implies(X109,X107)),X108),X108)),
    inference(resolution,[status(thm)],[c39,mv_1]) ).

cnf(c123,plain,
    is_a_theorem(implies(X110,X110)),
    inference(resolution,[status(thm)],[c59,c18]) ).

cnf(c134,plain,
    is_a_theorem(implies(implies(implies(X136,X136),X137),X137)),
    inference(resolution,[status(thm)],[c123,c39]) ).

cnf(c17,plain,
    is_a_theorem(implies(implies(implies(X181,X183),X182),implies(implies(not(X183),not(X181)),X182))),
    inference(resolution,[status(thm)],[c4,mv_5]) ).

cnf(c214,plain,
    ( ~ is_a_theorem(implies(implies(X2340,X2339),X2341))
    | is_a_theorem(implies(implies(not(X2339),not(X2340)),X2341)) ),
    inference(resolution,[status(thm)],[c17,condensed_detachment]) ).

cnf(c3010,plain,
    is_a_theorem(implies(implies(not(X2343),not(implies(X2342,X2342))),X2343)),
    inference(resolution,[status(thm)],[c214,c134]) ).

cnf(c3085,plain,
    is_a_theorem(implies(not(not(X2348)),X2348)),
    inference(resolution,[status(thm)],[c3010,c332]) ).

cnf(c3104,plain,
    $false,
    inference(resolution,[status(thm)],[c3085,prove_mv_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 15:00:53 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 2.31/2.52  % Version:  1.5
% 2.31/2.52  % SZS status Unsatisfiable
% 2.31/2.52  % SZS output start CNFRefutation
% See solution above
% 2.31/2.52  
% 2.31/2.52  % Initial clauses    : 6
% 2.31/2.52  % Processed clauses  : 194
% 2.31/2.52  % Factors computed   : 0
% 2.31/2.52  % Resolvents computed: 3131
% 2.31/2.52  % Tautologies deleted: 1
% 2.31/2.52  % Forward subsumed   : 585
% 2.31/2.52  % Backward subsumed  : 0
% 2.31/2.52  % -------- CPU Time ---------
% 2.31/2.52  % User time          : 2.125 s
% 2.31/2.52  % System time        : 0.026 s
% 2.31/2.52  % Total time         : 2.151 s
%------------------------------------------------------------------------------